Mathematics Questions and Answers December 02, 2020

Let f(z) = VI + 13 . We will use the definition of derivative to find the derivative of f (I). () What is the definition of derivative of f (=) ? Of'(z) = lim f(Ith)-f(z) h Of (z) = lim f(eth) f(x h) h wl h Of (z) = lim f(=42 h)-f(Ith) h w 2 h Of(z) _ f(ith)-f(z) h (i) Which one is the correct statement (the next step to find f(x) by definition)?

Question 8 You are allowed to use five 3 in by 5 in notecards, your calculator, and Desmos. ?! A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. 11x lim I + 00 7 + 2x

Direction: On your answer sheets, match Column X to Column '1' and Match Column Y to Column Z by writing the same and exact number or letter that corresponds to your answers for the following columns: Column X displays the Unknown Values, Column '1' enumerates the Symbols of the Unknown Values, and Column Z reveals the exact answers. Consider the

If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = . Consider the cost function C(x) given below. (Round your answers to the nearest cent.) X C(x) = 16,000 + 290x + 4x3/2 (a) Find the total cost (in dollars) at a production level of 1,000 units. $ (b) Find the average cost (in dollars per unit) at a

19. What is the equation of the graph shown? .... .... ... A) y = x - 2x 1 i ............&.... N By = 2 x2 - 2x C)y = x2 + 2x 12 0 .... .2 .4 DJy = x2 -2x .CCC....P.... ....4 2 ........ P......... ... . . . E ) y = x2 + 2x 1........... ... 4.......4.... .... Y x . ... 20. If the graph of y = f (x) is shown, then the graph of y =- 1 looks like: f

Automobiles Purchased An automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 74% today. He selected a random sample of 48 Americans and found that 42 said that they would prefer an American automobile. Can it be concluded that

00 Precalculus/ Fall 2021 Assignment 9 nment 9 480189: 5.0/ 15.0 JU /3 09:30:25 If cos x = and a is in quadrant Ill, find the exact value of sin (2x), cos (2x), and tan (2x) algebraically without solving for . Enclose numerators and denominators in parentheses. For example, (a - b) / (1 + n). sin (a) ( 41/5 sin (2x) = 19 ab sin (a) co

Plot the region of the plane bounded by the graph of the equation 9 = 33/2 and the lines 9 = U and :r = 4. Find the volumes of the solids generated by revolving this regions about the given lines. (a) the :r-axis (b) the y-axis (e) the vertical line :0 = 4. Plot the region of the plane bounded by the graph of the equation 3; : 1n :5 and the lines

Part 3 of 4 Score: 0.2 of 1 Consider the vectors u = - 9i and v = 5j. Sketch the vectors, find the angle between the vectors, and compute the dot product using the definition u . v = Ju | |v| cos 0. Sketch the vectors. Choose the correct graph below. O A. O B. c. Ay O 10 X X to to From the sketch, what is the angle between the vectors? 0 = (Type

Question 2 (20 marks) In Alpha College, students are required to join at least one school club to get extra-curriculum activities' marks. Suppose the following table represents the probability distribution function of the number of clubs (X) a student join: X 2 3 P(X = x) 0.1 2k k +0.1 k (a) Find the value of k. (b) What is the probability that a

A pencil cup with a capacity of 37 in. is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 26c/in. and the material for the base costs 44c/in.2, what should the dimensions of the cup be to minimize the construction cost (in c)? Round your answer to two decimal places, if

Correct |MATH eBook Help ? Hosted by ALEKS Corp. Midterm Exam #1

Help IMATH nostedby carp. 4 3 2 I Midterm Exam 1 8 7 6 5 eBook 20 21 9 10 11 12 13 14 15 16 17 18 19 6MCTQ Section Exercise 13 Question 26 of 30 (5 points) Attempt I ofl I (Y 48m 29s Remaining An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with g

An educational psychologist is interested in seeing if Return To College (RTC) students?that is, students who have not attended school for more than 4 years in order to work or raise a family?are more motivated to achieve higher grades than students who have not taken a break in their education. She knows that the distribution of grade point

A population of bacteria is growing in a lab culture. After a certain time a chemical that is toxic to the bacteria is introduced ents and the population begins to decline. The total bacteria population in grams at time t is given by Q(t) = 200e (t-10)2 with t the number of hours since the experiment began. At what time t is the toxic chemical

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 5 km

Calculus I Problem Please write down the explanation as details as possible. Thanks in advance! Concept Questions 1. What is the definition of the definite integral of a continuous function from a to b? 2. What is the geometric interpretation of / faj drif /() 20? 3. What is the geometric interpretation of / /(x) dr if f(x) takes on both positive

2) A baseball team has 3 different color hats (blue, white, black), 4 different color jerseys (white, grey, blue, black), 2 different color pants (white, grey) and 2 different colors for shoes (white, black) a) How many different uniform combinations are possible? (note: the players have to wear 1 hat, 1 jersey, 1 pair of pants, and 1 pair of

4. (18 points) joa move ard boy int nava ex HECHT ON NAO JOY (a) Sketch (roughly) the curve C given by the parametrization r (t ) = (t sin(t), tcos(t) ) with 0

8. (10 points) Let R be a bounded region in space with regular surfaces E1, ..., Ex as boundary compo- nents. Let y be a differentiable function on R satisfying: " is harmonic, i.c. Ay =0 . "x, = Cie. y is constant on each boundary component. " is non-constant on R. Prove that B := Vy is divergence free but not solenoidal (the field in problem 8

The height of a woman in an unusually tall country is normally distributed with a mean of 6ft and a variance of 16 inches. What percentage of women are between 72 and 76 inches.

I would appreciate the help ! 1. Calculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface of part of the cone z = Vx2 + y that lies between the two planes z = 1 and z = 7 with an upward-pointing unit normal, vector using a line integral. F = (yz, -xz, z3 ) 2. Calculate the curl(F) and then apply

Minimization of potential energy for a simply supported beam under a uniformly distributed load requires the functional V[u] = [Buz -udx 0 be minimized, where u (x) is the deflection of the beam. The essential boundary conditions for a simply supported beam are u(0) = u(2) = 0. (a) Obtain the exact deflection distribution u (x). (b) Use the

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The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, nd the probability that the subject lied, given that the test yields a positive result. Did the Subject Actually Lie? 121 No (Did Not Lie) Yes (Lied) Positive test results 13 43 Negative test results 32 9 The

Find a general expression for the slope of a tangent line to the indicated curve. Then find the slopes for the given values of x. Sketch the curves and tangent lines. y=x2+3.5x+3; x=2, x=2.5 Find the average rate of change of y with respect to x from P to Q. Then compare this with the instantaneous rate of change of y with respect to x at P by

A random sample of 30 colleges from Kiplinger's list of the best values in private college provided the data shown in the file BestPrivateColleges. The variable named Admit Rate (%) shows the percentage of students that applied to the college and were admitted, and the variable named 4 yr Grad. Rate (%) shows the percentage of students that were

SU21-MATH 012 01 PDF *Section 3.7 Improper Integrals ( G File | C:/Users/willi/Downloads/Section%203.7%20Improper%20Integrals%20(1).pdf . . . 2. Identify whether the following integrals are proper or improper. For those that are proper, write "proper". For those that are improper, re-write each in terms of limit expressions. You do not need to

please explain how you got to ur answer I'm lost and would love to understand and learn it ger 2021 vista Virtual School Math 30-1 Assignment 3 Summer 2021 6. The graph shows the average monthly temperature, in degrees Celsius, for Thompson, MB. The data can be modeled by an equation of the form y = acosb(x-c) +d 30 20 10 2 4 6 8 10 12 10 20

Q8 Regression [4 marks] Suppose we want to do linear regression based on the following training dataset: { (2, 4.1), (-0.5, 1.3), (-2, -9) }, where each pair (x, t) gives the target value t for a given input value r. (a) Write down the form of the linear regressor. [1] (b) Write the error function E(w) for this linear regressor based on the

Test the claim about the population mean, u, at the given level of significance using the given sample statistics. Claim: H # 6000; a = 0.03; o = 369. Sample statistics: x = 5700, n = 46 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H # 6000 O B. Ho: H # 6000 Ha: H = 6000 Ha: HIS 6000 O C. Ho: H # 6000 D.

The waiting times for commuters on the Red Line during peak rush hours follow a uniform distribution between 0 minutes and 10 minutes. b) Compute the height of the uniform distribution. Leave your answer as a fraction. c) Which of the following is the correct picture of the probability distribution of X? a bell-shaped curve that starts at 0 and

tudent Links - Northern Virginia X as Virginia Community College Sys X N Module 4: Hand-on Textbook Ac X ALEKS - Ayud Parajuli - Homewo X + m/alekscgi/x/Isl.exe/10_u-IgNslkr7j8P3jH-IBhBKplvJLUg6NO6tj9qFitz6nQLOPsPMGhYO_jASZLcZs1NGIrVCXxxmdH_zQSMgZxTf0_duPlenZGrMDYKEX1653q3sWq?10Bw7QYjibavbSPXtx-YCish_7mMmrq#assignment_1219 Homework 3.5 E Question

Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the 5-number summary. 128 130 134 139 141 145 146 147 149 150 154 154 154 156 158 163 166 167 169 174 The 5-number summary is . . .

Number 4 :) If Marla goes on road trip, what is the probability that she has time to listen to all 50 randomly selected songs during the drive? Robert is trying out for his school's swim team. His favorite event is the 100-yard freestyle and, to make the team, he must swim the event is less than 58 seconds. Recently, he has been timing himself and

Write the formula for Newton's method and use the given initial approximation to compute the approximations x, and x2. f ( x ) = x2 - 3; XD = 2 . . .. . Write the formula for Newton's method for the given function. Choose the correct answer below. 2x O A. Xn+ 1 = Xn x2 - 3 x2 - 3 OB. Xn+ 1 = Xn - 2xn 2x O C. Xn+ 1 = Xn + x 2 - 3 X 7 - 3 OD. Xn+ 1

0 Question 3 . B 0/5 pts '0 65535 8 99 G Given f(m,y) = sin(:c + y) where a: = s2t3, y = 23 3t. Find W\" Wt i\" = :] ft(w(s, t), y(s, t)) = :] Note: This question is looking for the answer to be only in terms of s and t O QueStion 4 ' l3 0/5 pts '0 65535 8 99 (9 Details Given x, :9) = sin(:c + y) where a: = 32134, g = 2s 413. Find mo, t), ms, t =

4 x x 2 49 , x 1 7 x 49 4 x x 2 49 = x 1 7 x 49 =

Standard Deck Assume the Ace is low. If you select a card at random, what's the probability of selecting the following: Approximate your answer to the nearest thousandths 5. Jack? 6 Club? 7. Non Jack? 8. Red Card? 9. Red jack? 10. Red face card? 11. Jack of Clubs? 12. Jack or Queen? 13. Jack or a 7? 14. Jack given that the card is a club? 15. Jack

The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) below. Number of Accidents p(X = x;) Daily (X) 0.36 0.38 0.12 DUI AWN - C 0.05 0.04 0.03 0.02 a. Compute the mean number of accidents per day. H = 1.2 (Type an integer or a decimal. Do not round.) b.

The local police district needs to conduct a 95% confidence interval to find the proportion of all drivers who do not have their cars registered. Of the 2,100 randomly selected cars observed, 350 are not registered. Round your answers to three decimal places. Find the following A. The z* (or critical value z-score) B. P-hat C. The standard error

A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 18 residents has a mean ann $41,500 and a standard deviation of $9000. In County B, a random sample of 8 residents has a mean annual income of

Testing: H0:,u=43 lep943 Your sample consists of 50 values, with a sample mean of 44.9. Suppose the population standard deviation is known to be 4.13. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = C] b) At a: = 0.03, the rejection region is Oz 1.88 Oz 2.17 Oz 2.17 Oz > 1.88 c) The decision is to O Fail to reject

Sonnets by the famous Elizabethan poet Bill Jigglelance are known to contain an average of

Moving to another question will save this response. Question 13 of 14 Question 13 4 points Save Answ The motion of a spring can be modeled by the function y = 3 - 1.2 cos(nix), where x represents the number of seconds the spring is oscillating and y is the distance, in inches, of the spring from the ceiling. What and When is the closest to the

Directions: State the NULL (Ho) and ALTERNATIVE (Ha) hypothesis. 1. A gasoline station's study is designed to test whether the mean number of liters of unleaded gasoline sold is the same in to adjacent stations X and Y. Ho: Ha: 2. A mathematics teacher wants to prove that male students outperform female students in mathematics in terms of mean

S={52.0, 19.1, 8.2, 30.7, 28.9, 69.0, 78.5, 32.9, 74.6, 8.3, 61.9, 53.4, 58.1, 22.3, 35.7, 59.2, 27.5, 70.8, 29.5, 79.7} 1. Consider the above list of numbers. Calculate the mean and median. Show steps. 3. Consider the above list of numbers. Construct the box plot of the data. Show work. 2. Consider the above list of numbers. Calculate the range

The figure shows how test and training error change with model complexity. Which of the following statements are correct? A. The big gap between training and test error on the right hand side is indicative of overtting. B. None of these statements. C. The training error will eventually start bending upwards D. A simple linear regression model

Rate with a Base About six tenths of one percent, or 0.60%, of HUD's 2022 budget is for removing health hazards such as lead pipes.6 That's a little more than half of one percent. To better communicate small proportions like this, we often use a rate with a base. Convert HUD's 0.60% health hazard budget request into a rate with a base as follows.

A commercial cherry grower estimates from past records that if 26 trees are planted per acre. then each tree will yield an average of 38 pounds of cherries per season. If. tor each additional tree planted per acre (up to 20), the average yield pertree is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per

One way to check on how representative a survey is of the population from which it was drawn is to compare various characteristics of the sample with the population's characteristics. A typical variable used for this purpose is age. The 2002 General Social Survey of the U.S. adult population found a mean of 46.21 and a standard deviation of 17.45

The population of a town is increasing at a rate given by P'(t) = 50 e 0.013t where P is the population t years after the beginning of 1990. If the population at the beginning of 1990 was 4700, then estimate the population at the beginning of the year 2020. ROUND TO THE NEAREST PERSON. The population at the beginning of 2020 is/was about

Please assist with these practice questions, PLEASE SHOW CLEAR WORKING 1. [6 points] Find the area of the region bounded bvy = vi)! = J,and y = x 2. Graph provided below. 6. [8 points] For the curve given by x = t* - t, y = Int + t , find the equation of the tangent line to the curve at the point (0,1)

4. [Scaling PDFs] Suppose that X and Y are the sampled values of two different audio signals. The mean and variance of an audio signal are uninteresting: the mean tells you the bias voltage of the microphone, and the variance tells you the signal loudness. For this reason, the audio signals X and Y are pre-normalized so that E[X] = E[Y] = 0 and

Two random variables X and Y are independent. The means and standard deviations are shown in the table below. The values of the mean and standard deviation of 2X+Y are closest to: Two random variables X and Y are independent. The means and standard deviations are shown in the table below. The values of the mean and standard deviation of 2X+Y are

Evaluate the limit. . 932 + 63: + 9 11111 :I:a~3 332 + 2.113 3 (a) is equal to 1. (b) is equal to g (c) is equal to 0. (d) is equal to 3. (e) does not exist

please help with these questions 3 3 Fill in each blank so that the resulting statement is true. In the following long division problem, the first step has been completed. 4x2 5x - 4)20x3 + 8x2 - 8x + 12 The next step is to multiply the quotient and the divisor which obtains Write this result below The next step is to multiply the quotient and the

Home Gradebook X Question 13 - Wk 4 - Practice: WI X Course Hero X + X C a ezto.mheducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Fvle.phoenix.edu%252Fultra%252Fcourses%252F_295538_1%252Foutline%253Flaunch_i... Wk 4 - Practice: Wk 4 Exercises [due Day 5] Saved Help Save & Exit Submit Check my work 13 One

The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample ofeightsyringes taken from the batch. Suppose the batch contains5%defectivesyringes.(a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, ...,7and8defective syringes in a random sample

14. Apharmaceutical company has made a new drug to relieve anxiety symptoms and has started testing it for effectiveness. Their null hypothesis is "the drug has no effect" Which is the Type I Error below_ and which is the Type II error _? a. To conclude the drug is effective when in. fact, it is not. b. Not to conclude the drug is effective when,

There are 9 questions (2pages) please please answer all 9 questions and explain how you find answers I'm so appreciate Activity (continued from previous page) 5. Select Skew lines. Drag the plane around to see different views. Then click New line several times, dragging the plane each time. A. The two lines shown each time are skew. Do skew lines

a For each Question, TRANSLATE all given probabilities in probability notation! Use the following information to answer questions 13: Given an employee is under 40 years of age, they have a 28% chance of having an individual retirement plan (IRA). If an employee is 40 or older, they have a 43% chance of having an individual retirement plan (IRA).

What is the major difference between Quantitative and Qualitative fit testing? Select one: O a. Quantitative fit testing needs to be repeated more often. O b. Nothing. They mean the same thing. O c. They result in different protection factors. O d. Qualitative fit testing relies on the mask wearer to tell you if there is leak. Clear my choice

[0/10 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.1.035.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) In(n) ) 8n Enter an exact number. Need Help? Read It Watch It Master It

Question 4 Not yet answered Marked out of 1.00 P Flag question Find all points of the graph of f(x) = 3x2 + 9x whose tangent lines are parallel to the liney - 33.r = 0. Select one: O a. (4, 84) O b. (7, 210) O c. (6, 162) O d. (5, 120) O e. (4, -184) Question 5 Not yet answered Marked out of 1.00 F Flag question Determine all the number(s) c which

Worksheet 1: Prediction using SIR models Math 408R: Goal: To use the SIR model to predict (approximately) the evolution of a disease Recall: we saw, in class this week that the spread of a disease can, under appropriate assumptions, be modeled by the SIR. equations 3' = a.SI, I' = aSIbI, R' = III. Here 3, I, and R denote the number of individuals

Graph the following function and determine the values of x for which the function is continuous. Explain. f ( x) = * for x> - 3 for xs - 3 Choose the correct graph below. O A. O B. O C. "D. AY Where is the function continuous? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is

5 (a) Copy and complete the following ANOVA table: SV SS MS Among varieties 0.2304 0.0576 Within varieties 0.2160 0.0144 (b) How many observations were there in the experiment? (c) Name the design used in the experiment and state the advantages of using such a design (d) Given that the varieties have fixed effects, state and test the null

A factory has installed a new process that will produce an increased rate of revenue (in thousands of dollars per year) of R (t) = 200 - 0 .5 ett1 where t is time measured in years. The new process produces additional costs (in thousands of dollars per year) at the rate of C(t) = 2 ett1 Find the net total savings. Note: Round up all the decimal

"During a certain epidemic, the number of people at are infected at any time increases at a rate proportional to the number of people that are treated at that time. If 700 people are infected when the epidemic is first discovered, and 900 people are infected 2 days later, how many people are infected 5 day- after the epidemic is first discovered?

Consider the equation below. (If an answer does not exist, enter DNE.) f ( x ) = x 5 ln( x ) (b) Find the local minimum and maximum values of f. local minimum valueConsider the equation below. (If an answer does not exist, enter ONE.]

Question 3 (1 point) Which of the following statements is/are true regarding the sampling distribution of the sample mean? 1. The expected value of the mean for n = 100 will be greater than the expected value of the mean for n = 10 (assume the mean is the same). 2. The standard error of the mean will decrease for larger sample sizes (assume the

n n X K J K X K Y K k =1 k =1 k =1 a 2 2 n K X K k =1 k =1 n X K k =1 k =1 b = nMaximizing profit. The market research department for a drugstore chain chose two summer resort areas to test market a new sunscreen lotion packaged in 4-ounce plastic bottles. After a summer of varying the selling price and recording the monthly demand, the research

The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge it supports Suppose the cable hangs following the shape of a parabola with its lowest point 20 m above the bridge How high in meters is the cable 120 m away from a tower

Theorem. point(s) possible Submit quiz The weights of a certain brand of candies are normally distributed with a mean weight of 0.8578 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 450 candies, and the package label stated that the net weight is 383.9 g. (If every package has 450 candies, the mean

3) In differential calculus, a related rates problem involves at least two changing quantities ( with respect to the same variable) and asks you to figure out the rate at which one is changing by relating that quantity to other quantities whose rates of change are known (or easier to find). Give an example of a related rates problem and state a)

I need help with these two questions. Two vehicles start out traveling side by side along a straight road. Their position functions, shown in the following graph, are given by s = f(t) and s = g(t) , where s is measured in meters and t is measured in seconds. Which vehicle has traveled farther at t = 2 seconds? 0 Vehicle f 0 Vehicle g What is the

Part 2 - R Work (must be done in R) Copy and paste your R code and output into a word document to submit to Canvas . Follow these instructions to import the necessary dataset .' II a To nd the dataset needed for this problem , you'll rst need to open the "swz'ss dataset that is contained in R by running the following line: > data ('swiss ') - Now

Complete solution and correct answers only kindly skip this if your not sure of your answers because I am rating wrong answers unhelpful. TEST III: Use the Z- table to find the area that corresponds to each of the following. Sketch the curve correctly and label it. Use another sheet of paper for your sketch if necessary 1. Between z = 1.25 and z =

1. Starting from rest at a stoplight you accelerate at 3.0 m/s2 for 6.0 s, then drive at a constant speed for 4.0 s. You then see a police car and decelerate at 5.0 m/s2 for 2.5 s. What was your final speed in meters per second?2. At t = 2.00 s, a particle moving with a constant velocity is located at x = 1.00 m. At t = 4.50 s, the particle is

Write the function 0

Write the function f(t) 7 t 23 in terms of unit step functions and find the Laplace transform.

1 point A random variable, X, is defined for the number of times a coin lands on heads when flipped 5 times. The probability distribution is below. X O P(X) 1/32 5/32 10/32 10/32 5/32 1/32 Which of the following statements is NOT true? The most likely outcome is 1 head. Getting 2 heads or 3 heads is equally likely The expected value is 2.5 The

In a survey, people were asked whether they thought sun went around the planet Earth or vice versa. Of 1877 people, 338 thought the sun went around Earth. a. What proportion of people in the survey believed the sun went around Earth? b. Find a 95% confidence interval for the proportion of all people with this belief. c. Suppose a scientist said

nomework O Points: 0 of 1 Save A study published in a reputable medical journal examined the steady-state hemoglobin levels of patients with three different types of sickle cell disease: HB SC, HB SS, and HB ST. Use the accompanying boxplots to compare the hemoglobin levels for the three groups of patients, paying special attention to center and

Show work without calculator 2. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 390. (a) (10 points) Find an expression for the number of bacteria after t hours. (b) (4 points) Find the number of bacteria after 3 hours. (You do not need to simplify). ) (4

Problem 2 Arc length parametrization. Consider the curve given parametrically by r(t) = (3 + 3cost3 - 4sint3, 1,2 + 4 cost3 + 3 sint]). (i) Find a formula for the arc length from 0 to t. (ii) Reparametrizationith respect to the arc length starting from t = 0.Problem 1 Curvature of a curve. Consider the curve with the vector equation r(t) =

Find the critical points of the following function. f(x) = 3x2 - 5x +4 What is the derivative of f(x) = 3x2 - 5x + 4? f' ( x) = Find the critical points, if any, of f on the domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate

Solve the problem. 6) A ball is thrown vertically upward from the ground at a velocity of 93 feet per second. distance from the ground after t seconds is given by s(t) = -16t2 + 93t. How fast is the b moving 3 seconds after being thrown? Find the derivative. 7) y = (x+ 1)2(x2+ 1)-3 8) y = 6(98x - 4) - 9 9 ) y = ex# In x 10) y = In (3x + 3) e3x + 3

Pay your bills: In a large sample of customer accountsr a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 25 with a standard deviation of 3 days. Assume the data to be approximately bellshaped. (a) Between what two values will approximately 95% of the numbers of days be?

Need your help regarding this Activities. Let Us Do Activity 2: What's my Mean, Variance & Standard Deviation (MVSD)? Direction: Use the 8-step rule in solving the given problem. Step 1. Construct a probability distribution A Grade 11 class in Statistics and Probability has 20 learners. The ages of these P(X) learners are as follows: One learner

Stanford University conducted a study of whether running is healthy for men and women over age5050. During the first eight years of the study,7.6%7.6%of the683683members of the5050-Plus Fitness Association died. We are interested in the proportion of people over5050who ran and died in the same eight-year period. Define the random

Express the function y = 5(x - 3)3 as a composition y = f(g(x)) of two simpler functions y = f(u) and u = g(x) f(u) = help (formulas) g(x) = help (formulas)Let f be the linear function (in blue) and let g be the parabolic Function (in reel) below. If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a

A weight-loss counselor has prepared a program of diet and exercise for a client that gives the following expected weight loss (in pounds per week), where c is the average daily calorie intake and n is the number of 40-minute aerobic workouts per week. Weight loss =f(n,c)= 1/10 n^2 - 1/5 c + 1211/5 a. How many pounds can the client expect to lose

slble. find the absolute maximum and minimum values of the following function on the set R. w) = 212 - 2r2 + 2: R = {lay}: x2 + r2 S 1} he absolute maximum value on the set. Select the correct choice below and. if necessary. fill In the answer boxes within your choice. The absolute maximum value is E] and occurs at [3. {Type an ordered pair. Use a

A recent survey was designed to track health conditions and risk behaviors in the United States. As part of this large-scale survey, a random sample of 8,742 adults answered the question "Do you consume at least 64 ounces of water per day?" The data are summarized by response and by age-group in the frequency table below. Age Group (Years) Yes No

10-11 10) An equation of the function graphed below is periodic. Identify the values of a, b, c, and d in the equation, then write an equation with the least possible phase shift for the function in the form J= acos (b(x - c)) + d and y=asin (b(x - c)) +d, where a > 0. 11) A water wheel has diameter 12 m and completes 4 revolutions each minute.

A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. a) What must the value of k be for this to be a valid probability model? b) What is the probability that at least one waiter and at least one chef show up

Show the work neatly , clearly , systematically , and understandably , use proper notation Spring 2022 Show the work neatly. clearly. system natically. and understandably. USE. PROPER NOTATION. Do as sboun in MY class! 1. (412323# Consider the following frequency distribution of a population: X 17 18 18 22 19 20 20 11 21 9 a. Find the mode: c.

just would like someone to read this and let me know what you think if it? does my point get across? For my Simple Linear Regression Project, I chose to investigate the relationship between the average household income of a family for each state in the United States and compare that to the average graduation rate per state to see how strong the

Sketch the graph of a function f() that is defined on the closed interval 0, 5] and that satisfies all of the following conditions. . f(a) has a global minimum at x = 0 . f(1) 0 . f(z) has a local minimum at x = 2 . f (z) has an inflection point at x = 3 . f(z) has a global maximum at x = 4. Upload Choose a File

Please provide clear, detailed, and neat solutions step by step for this entire problem? Thank You! 2. Find the Maximum Likelihood Estimators (MLE) of 0. In each case consider that X1, X2, ..., Xn O represent a random sample from each of the distributions having the following pdfs or pmfs. (a) f(x; 0) = 020-1, 0