Mathematics Questions and Answers June 09, 2020

CHALLENGE ACTIVITY 7.2.1: Confidence intervals for population proportions. Critical values for quick reference during this activity. Confidence level | Critical value 0.90 2* = 1.645 0.95 = 1.960 0.99 = 2.576 402294.2602416.qx3zqy7 Jump to level 1 A poll reported 43% support for a statewide election with a margin of error of 1.44 percentage

22. Consider the function: f (x) = 1 ( x + 3 ) 2 + 2. (a) Draw the graph by first translating from the graph of g(x) = , then illustrate the intercepts and the asymptotes. (b) State the domain and range of: f (x) (c) Is the graph even, odd or neither

Question 5 (6.25 points) Listen Find the probability of having 2 girls and 1 boy in a 3-child family assuming boys and girls are equally likely. Answer in Blank #1 in a decimal rounded to the hundredths with no units. Previous Page Next Page Page 5 of 21 Submit Quiz 8 of 21 questions saved

Jun 14 at 5:11pm Instructions Question 8 1 pts The function satisfying dF/dx=0.7F(x) an F(0)=5 is OF(x)=5er OF(x)=20.7: OF(x)=50.7x OF(x)=0.720.5z

please leave answers to the questions below, thankyou. Will rate helpful Question 1 (1 point) Listen For the three vectors a, b and c' , it is found that a . b x c' = 0. Which statement below is true? O a) the three vectors are collinear Obj two of the three vectors are collinear O c) the three vectors are linearly independent O d) the three

Choose the correct triple integral to find the volume of the solid in the 4th octant bounded by the coordinate planes and the plane 2x-4y +z =4. O a. 0 2+2r 4+4x-2y dz dy da - 2 0 O b. 2 2+2r 4-4x+2y dz dy da 0 O C. 2 1+2 2 4-2x+4y dz dy da 0 O d. 0 4-2x+ 4y OSN dz dy da OL 10/4 -1

Directions: Answer the following items completely. Show your PROPER and COMPLETE solution. A. Find the derivative of the following functions. (2 marks each) JanH21: 1. f(x) = x2_1 2. y = 3:2 sin 21:: 3. F(x) = (2x + 3)(4x + 5)2 4. H(x) = cos3(2x2 3) x+1 B. Find the equations of the tangent lines to the graph of the equation f (x) = xI that are

A animal shelter has 5 girl cats, 7 girl dogs, 9 boy cats, and 2 boy dogs. If comes into the shelter and asks for two randomly selected pets, what is the probability that they will get 2 girl dogs (i.e. a girl dog is selected, and then another girl dog is selected without replacement)

5. Evaluate. a) lim 6 C) lim 1 e) lim 2 x2 1 1 b) lim d) lim 1 32 8 x b) lim 1 6. Evaluate. a) lim C) lim 2 1 1

(if (if Find and for the following function. 3X 63' four) = 6y2 e 5" we: ms

Find and for the following function. f(x,y) 6y e ax

Let X be a random variable with a mean equal to 10 and a variance equal to 4. A sample of size 100 is taken from this population. Find the probability that the sample mean of these 100 observations is less than 9.

Given the following information. Evaluate the limit below. You must attach your written work showing each step. If you use a technique like L'Hopital's Rule you must also justify why you can use that. N) = 1 9(7) = 0 ND = 8 9'(7) = 5 You can assume both functions are continuous and differentiable everywhere. 3}? 3g(m)+a:7

(1 point) Consider the spring mass system defined by the differential equation m\" + ky = Ema) If m = 0.25 kg, and the periodic Ema) shown on the graph below is applied as an external force, what value of k will result in the mass showing ever-increasing amplitude oscillations over time? If no choice of k will produce this result, put zero in

(1 point) Evaluate the triple integral of f(x, y, z) = z(12 + 2 + 22)-3/2 over the part of the ball x2 + y2 + 2 2.5. SSSw f (I, y, z) dV =

Question

ububbiqbiqxbibqboaobq 49. Find the second derivative of 1 point the given function * _ (1+1:)2 y_ 1:2 Your answer 50. Find the second derivative of 1 point the given function * y=x(2x+1)3

Unit: exponential and logarithmic functions 2. The decay of a radioactive substance is recorded in the table below. Time (minutes) Amount(grams) 480 5 444.39 10 380.89 20 352.63 25 331.54 a) Determine an equation that models the data b) How much radioactive substance will be left in 12 minutes? How long will it take the radioactive substance to

The area of a square is increasing at a rate of 96 centimeters squared per second. Find the rate of change of the side of the square when it is 8 centimeters

F. 9x2 - 16y = 144 o shape = o eccentricity = o directrix: G. r = -2 cos 0 o shape = o eccentricity = o directrix

lim - where a # na. determine the limits. if value is infinite specify neg or pos infinity, If answer does not exist, explain why. Do not use table of values. 10 f. lim E (2+4)

answer with explanation

4. Determine using limits any horizontal asymptotes for f (x) 2x4 2 2x2x3

No need to show work, just do it ASAP please. 1. \f.15-14-18-12 -17-10 -9 -8 -7 /6 -5 -4 -3 -2 4 6 7 /8 9 10 17 12 73 The curve above is the graph of a sinusoidal function. It goes through the points ( - 13, 0) and (1, 0). Find a sinusoidal function that matches the given graph. If needed, you can enter 7=3.1416... as 'pi' in your answer,

1. Solve Benet\") Bcos{w] 3 = l} for all solutions [I E 1H s: 2m Give your answers as values accurate to at least two decimal places in a list separated by commas. Solve Si]:2 [11:] = 2 ccs[w] for all solutions [1 E w {1' EH. Give your answers as values accurate to at least two decimal places in a list separated by commas. Find all solutions to 2

A--F|LL IN THE BLANKS: (10 points-1 point each) 1~ In Chapter 8, a single mean using the z-distribution is used since a 2- In Chapter 9, we tested a single mean using the since 0 was unknown. 3-ln Chapter 10, difference between two means was tested using the t-distribution for both dependent and samples. 4- ANOVA technique uses to separate the

Lab 3 Composition verses Transformation . Four of the functions that groups explored In the transforming functions lesson {Activity 4]: are listed below. Each person in 1pour group should choose one ofthem and then use their function to complete parts a-d. [Choose a different one from the one you worked with before.] so) = .5. so) = if: so) =,t

ii) x' = x2 + y2 - 4 y' = x + xy - 2x How many equilibria does this system have

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) =%X4%X3 2x2+ 30n [4, 3] maximum 905/3 x mm v Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) g(x) = x2 + 8x2/3 on [-7, 8] maximum

Given the vector-valued functions u(t) = e-4ti + e2tj - 2tk v(t) = 2ti + 4t27 + 2k find dt ( 2(t) . 3(t)) when t = 2. d (u . V) (2) = d

I dentify the appropriate statistical test after reading the description of the research Catalina wants to know if the number of writing classes she has taken might predict her income when she is 40 years old. She collects income data from 100 40-year-old women who took different numbers of college writing classes to help her make this prediction

Need Python code and business report for the following questions: Problem 1 A physiotherapist with a male football team is interested in studying the relationship between foot injuries and the positions at which the players play from the data collected Striker Forward Attacking Midfielder Winger Total Players Injured 45 56 24 20 145 Players Not

7 questions related rates and linear approximation A 41 feet long ladder is leaning against a vertical wall of a building. The base of the ladder is being pulled away from the wall at a rate of 7 feet per second. Determine the rate of change of the *angle* (in radians) formed by the top of the ladder and the wall when the base of the ladder is 9

Question 12 doesn't show but it says " Please convert (1,0) into polar coordinates." 8) Please graph ( , ,90) and find another (r,0) where a: r>0 and - 360 0 and 360' S 0 5 720 120 135. 150' 180 10 380' 210 225' 315. 240" 300 270 9) Please convert (-2,0) into Cartesian coordinates. 10) Please convert (4, 120) into Cartesian coordinates. 11) Please

MCV 4U Unit 3 Assignment Page 2 6. A boat on a lake is heading at a bearing of 40. The boat is traveling at a velocity of 40 km/h and the current is flowing from the southeast at 9 km/h. Determine the heading of the boat and the resultant velocity relative to the ground. [2A2TIC marks]

Consider the experiment in which two coins are tossed. Describe the sample space. List the elements of the event when the result is at most one tail.

If sin * = 7 25 , JC _ X - 2 and cos y = 4 evaluate: tan (x+y) A complete solution using methods taught in this class (all steps/diagrams, etc.) is required for full marks. Paragraph V BIUA EVE + V

1. Consider the graph of the function y = sin x + cos x. Describe its overall shape. Is it periodic? How do you know? 2. Using a graphing calculator or other graphing devices, estimate the x- and y-values of the maximum point for the graph (the first such point where x > 0). It may be helpful to express the x-value as a multiple of . 3. Now

. Question 9 Find the derivative of: 3VI Type your answer without fractional or negative exponents. Use sqrt(x) for VT. Question Help: Video Submit

Solve each of the following questions graphically and check your solutions. Classify the systems as consistent or inconsistent and the equations as dependent or independent. 1. ) 3x - y = -1 x + 2y = 2

consider the Function F ( x , y ) = 1x 0 3x+71 (a) state the domain of F (xly) for Find the limit by approaching along () what conclusion can you drove From you quiswer to part up ) guys

The following graph shows the approximate number (in thousands) of people who emigrated from Ireland during the period 2010-2014. (t is time in years since 2010). 100 69 0 (a) During which 2-year interval(s) was the magnitude of the average rate of change of E(t) greatest? (Select all that apply.) 2010-2012 O 2011-2013 2012-2014 Interpret your

2. Write the equation of the line passing through A(-2, 4, 6) and B (7, -1, 3) in vector, parametric and symmetric form. [4A, 2C, D2]

Use the graph of f (a) = x below to find a number & such that a2 - 1

use the graph of f (x) x below to find a number such that II 0.1 whenever 0 ll

Problem 1 of 4 (8 pts). Setup appropriate triple integrals to find the volume of the solid bounded between 2 = 2x2 + y2 and z = 12 x2 2312. Set this up in any two of the three coordinate systems. Show each step of your work clearly on the following page(s), including rough sketches of the bounding surfaces, but write your answer clearly within the

Question number 7 a) Probability that x = 3. ( 7) The fill amount in 2-liter soft drink bottles is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. What is What proportion of the bottles will contain: a) Between 1.90 and 2.0 liters? b) Below 2.10 liters? c) Between what two values around the mean 99% of the

Exotisa 27. calculate f ds. where f and x are as Z y. z) (t,2t, S 2 t32), I S 3 4. y. z) 3x X(t) (cos4t,sin4t, 31), . x(t) cos3t, e2t sin 3. e2t), 6. f (x.y.z) (2,0.0) ifOst (2.3 3,0) if I fts 2 (2.3.214) if2sts3 7 yl2 2Z2, (f. O) if O I (J, 1.11) if I stf3

1. A line passes through the points M(0, 1, 4) and N(1, 4, 5). Find a vector equation of the line. a. [x, y, z] = [0, 1, 4] + #[1, 4, 5], t ER C . [x, y, z] = [1, 3, 1] + #[1, 4, 5], t E R b. [x, y, z] = [1, 3, 1] + #[0, 1, 4], t ER d. [x, ), z] = [0, 1, 4] + #[1, 3, 1], t ER 2. A line has x-intercept 7 and z-intercept 5. Find a vector equation of

The percentage P of doctors who accept a new medicine is given by P (1) =100- 100e -0.3 where t is the time in months. Find P'(t). O P'(1) =100- 100e -0.31 O p' (1) =e-0.31 (-0.3) pi(t) = - 100e-(-0.3) P.(1) = - 100e -0.3r

Evaluate the limit. Note: two 'o's make infinity (oo). lim sin (t) e t-+0 t (t - 1)2\\

Evaluate the limit. Note two os make infinity (00). sin(t) 2)

La Srie S converge par le test des sries alternes (critre de Leibniz). Selon le thorme de lestimation des sries alternes, quelle est la plus petite valeur de n pour laquelle lerreur IR.nI Is snl est au plus 0.075 B. 10 c. 11 D. 12 E. 13 F. 14 G. 15 H. 16 1. 17

Susan Meyer likes to study personality types. The personality types are broadly defined according to four main preferences. Do individuals usually choose similar or different personality types as their friends? The following data gives an indication. Similarities and Differences in a Random Sample of 212 Students from Unnamed University Number of

Which of the following represents the rectangular equation x2 + y2 - 2x + 8y = 0 in polar form? Or= -2sin 0 + 8cos 0 Or= 2sin 0 - 8cos 0 Or= -8sin 0 + 2cos 0 Or = 8sin 0 - 2cos 0

Henry received a $1600 bonus. He decided to invest it in a 5-year certificate of deposit (CD) with an annual interest rate of 1.39% compounded quarterly. Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas. (a) Assuming no

1. (08.03 08.04 HC) For the regions A and B shown in the graph: Part A: Discuss the limits of integration. (3 points) Part B: Set up an integral expression that represents the total area. (4 points) Part C: Calculate the total area. (3 points) 4 y = x2+1 A B x = (y-3)2-2 0 - -1 26 -3 -4 -3 -2 -1 2 3 4 52. (08.01 MC) What is the average value of

A bag contains 6 red marbles, 4 blue marbles, and 1 green marble. If a marble is selected at random, what is the probability that it is not blue? OA. 11 4 OB. 11 OD

number 13 for section 11.1 Problems 13-18, find the general solution of each system of differential equations and sketch the lines in the direction of the eigenvectors. Indicate on each line of eigenvectors the direction in which the solution would move if it starts on that line. 13. (Figure 11.32) * 1 1 1 1 1 127 1.11 1 171 1

for the given function, Find dz w5z e dz

Find f if f" (x) = sina + cos x, f' (0) = 3, and f(0) = 9. Answer: f(x) =The form of the partial fraction decomposition of a rational function is given below. x2 - 5x + 8 A Ba + C = + (ac + 5) (202 + 4) ac + 5 2 2 + 4 A = B = C = Now evaluate the indefinite integral. x2 - 5x + 8 dx = ( 2 + 5) (202 + 4 )Evaluate the indefinite integral. 1 dx = x2 +

A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 160 lb of coffee, disregarding any fixed costs. C'(x) = - 0.029x +7.50, for x S 200 The total cost is $ (Round to the nearest cent

Free Response Questions 10. Vertical Motion. The height of an object moving in a vertical line with constant acceleration is given by the position equation s(t) = - at2 + vot + So . The height of the objects is measured in feet, t is measured in seconds, a is acceleration, and vo is the initial velocity, in feet per second at t = 0 and so is the

Researchers want to examine the effect of perceived control on health complaints of geriatric patients in a long-term care facility. Thirty patients are randomly selected to participate in the study. Half are given a plant to care for and half are given a plant but the care is conducted by the staff. Number of health complaints are recorded for

Consider the function at) : Va\": 1. (A) Find f1(1) :0 (B) Use Theorem 7, page 156 of the Stewart Essential Calculus textbook to nd (f'1)'(1) (f'1)'(1) = C] (C) Calculate f_1(:1:) and state domain and range of f'l. Use interval notation. If needed enter inf for 00 or -inf for 00. f'1(m) = Domain = Range = Calculate (f'1)'(1) from the formula for

Q) If a person with the flu is admitted to the hospital, what is the probability that they were vaccinated? 8. [2, 1, 1] The Journal of the American Medical Association conducted a study that estimates that 60% of people in 2018 received a flu vaccine. Of those that were vaccinated, the probability of catching the flu is 2%. Of those that were not

5. In testing the lifetime of components, the sample space is the set S = {1:}: > 0} of positive real numbers. Let A be the event that the next component tested will last less than 75 time units and B the event that it will last more than 53 time units. In mathematical notation, A = {111:

3 The partial fraction decomposition of f(z) g(x) can be written in the form of + (2 - 1) (2 + 2) x- 1 x +2 What type of function. will the numerators f(x) and g(ac) be? f (a) is Select an answer and g(x) is Select an

An automobile company has found that their rate of sales of a new automobile, in millions of dollars, can be modeled by l -'l t where t is number of years since the An automobile company has found that their rate of sales of a new automobile, in millions of dollars, can be modeled by S'(t) = 10 - 106 new automobile was introduced. Since this is a

3 In (x 10) dx dx dx dx 18 12 In (x 10) 3 2 In (x 10) 2 18 12(x 10) In (x 10)

Find the Taylor polynomial T2 (x) for the function f (x) = 3e2ch at x = 0. (Use symbolic notation and fractions where needed.) T205) = 3 +6.7c+6)c2 Use a calculator to compute the error at x = 0.5. (Use decimal notation. Give your answer to three decimal places.) |f(X) - T2(X)| = Incorrect

What is a function ? What is NOT a function? Give an example of a function and define it'sdomain and range. Feel free to draw and/or share an image or a screenshot. 2. What is the average rate of change ? Give an example. 3. When does the break-even point fall and what is the equilibrium point ? Give an example.

1. For the function f (x) = x2 find the slope of secants from the point (2, 4) to each of the following points. a. (3, b. (2.5 , C . ( 2 .1 d. (2.01, _) e. (2.001, _) 2. Using the pattern from question 1, what do you think the slope of a tangent at the point (2, 4) would be? Explain you

asap please A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a 0.05 significance level to test the claim that the three different types of cookies have the same mean number of

The Student Union President conducted a survey to estimate the proportion of first year students who participated in the social activities organized by the Student Union. Which of the following surveying options does NOT affect the president s ability to generalize the survey to all first year students. O All of the other options present a problem

34 and 36 if at least one person has the disease. If a combined sample tests positive, then individual blood tests are used to identify the individual with the disease or disorder. 33. HIV It is estimated that worldwide, 1% of those aged 15-49 are infected with the human immunodeficiency virus (HIV) (based on data from the National Institutes of

QI. Soit R la rgion dlimite par la courbe y 2x e5x et les droites 1, x 2 et y O. Soit S le solide dont la base dans le plan est la rgion R et Clont les sections transversales perpen diculaires laxe des a sont des carrs. Laquelle des int.grales dfinies suivantes donne le volume total du solide S (4 e10x) 2T(2x2 ) D. 7t(2x e5x)2dx c. B. (4

Question 13 (1 point) The manager of an electronic items producing company believes that flexible work schedule might boost average productivity (number of item produced per hour) allowing employees better work-life balance. However, before implementing the flexible work schedule across the entire firm, he would like to investigate the effect of

MAT1322 IMAGE Find the equation of the tangent plane to f(:l:, y) = 313(51) + may + 1 at the point Lay] = (2, 1]. A.z=2+2'y2 B.z=4m+2y4 C.z=12r+10y24 D.z=12:r+10y25 E.z=4:c+y7 F.z=3z+2y~1

The standard deviation of test scores on a certain achievement test is 11.3. A random sample of 60 scores on this test had a mean of 71.7. Based on thi sample, find a 90% confidence interval for the true mean of all scores. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your

Jim is six feet tall. One night, he was walking straight toward a lighted street lamp at a rate of 4 ft/s. If the lamp is 20 ft above the ground, find the rate at which Jim's shadow is shortening. 20 At 6 ft 18 X S

15. The are robust to outliers, whereas the are not. Group of answer choices mean and standard deviation; median and interquartile range median and interquartile range; mean and standard deviation median and standard deviation; mean and interquartile range mean and median; standard deviation and interquartile range standard deviation and

When riding in an elevator, the sensation one feels just before the elevator stops at a floor is jerk. Would you want jerk to be small or large in an elevator? Explain. Would you want jerk to be small or large on a roller coaster ride? Explain How would you explain snap?

Please make sure each step must logically follow from the previous one and every claim must be justified. 2. Let f (m) = 6m cosm and consider the following two functions F1(m) = 3:132 sin m F203) = 6m sin a: + 6 cos x a) (1 point) Show that F1(x) is not an antiderivative of f (as), but F2(x) is. b) (2 points) Explain why someone might guess F1 is

Consider the function defined by the following. Bo for r s ro ro B(r) = ro Bo for r > ro Is B continuous at r = ro? Yes O No

point(s) possible Find the area of the region bounded by the graphs of the given equations y =x, y=3vx Set up the integral(s) that will give the area of the region. Select the correct choice below and fill in any answer box(es) to complete the choice. OA. 1 dx O B. [ dx The area is (Type an integer or a simplified fraction.)

VI. It is known that sinc = > (-1)" 2n+1 for all re R. (2n + 1)! 1. Find the Maclaurin series for r sin(r?). (2 pts) 2. Use the 7th degree Maclaurin polynomial for rain(r ) to approximate the value of 0.1 sin(0.01). (3 pts) 3. Differentiate the Maclaurin series for r sin(r-) to determine the exact value of (3 pts) too 5 (-1)"(4n + 3)12+1 (2n + 1)!

Could you solve the questions please? THANK YOU SO MUCH!!! Question 2 0 pts *** DO THIS QUESTION ON YOUR PAPER NEATLY AND CLEARLY, BOX SOLUTION(S) *** The following graph represents the result of applying a sequence of transformations to the graph of a basic parent function. (a) (2 pts) Identify the basic parent function. (h) (3 pts) Describe the

16 / 16 75% + 18) A sports company has the following production function for a certain product, where p is the number of units produced with x units of labor and y units of capital Complete parts (a) through (d) below. (9 points total) p(x, y) = 2000x45 y's Part A) Find the number of units produced with 25 unit of labor and 1435 units of capital

The size of a certain insect population is given by p(t) = 500e x ^.03t, where t is measured in days.A -B-C-D- The size of a certain insect population is given by P(t) = 500e .03t , where t is measured in days. (a)How many insects were present initially? (b)Give a differential equation satisfied by P(t). (c)At what time will the population double?

In the integration ax What is the value of u? xVI-4ln -x a. 1 = 4ln-x b. 1 = Inx 2 c. u = Inx2 d. u = Inx O A O O C O DIn the integration ax V9-4x , What is the implicit derivative of u? a. du = 2dx b. du = c. du =- 2dx d. du = 4dx O A O B O C O DIn the integration of (csc 5t)(cot 5t) dt, what is the correct "u"?* O (csc 5t)(cot 5t) O cot 5t O 5t

The function at] 2 2:113 33::2 + 144: | 8 ha5 derivative flint} = 5:2 56:1: + 144. x} has one local minimum and one local maximum. x} has a local minimum at I equals C] and a local maximum at :3 equals C]

Globe 8:39 PM 87% CJ A cdn.fbsbx.com Done OF THE IMMACULATE CON College of the Immaculate Conception NOLLdBONO COLLEGE OF INTEGRATED BASIC EDUCATION SENIOR HIGH SCHOOL DEPARTMENT Socially Responsible Leaders Making a Difference ACTIVITY SHEETS Name: Score: Grade & Section: Date: EXERCISE # 2 A. Determine whether or not f is continuous at a. 1.

Suppose we pick 4 marbles in a row, each time replacing the marble and thoroughly shaking the jar before picking the next marble. 0 What is the probability that exactly 2 of the marbles have the letter E on them and exactly 2 of the marbles have the letter B on them? Specify this probability to six decimal places. Consider a case in which there

Consider the line y = 8x -9. Find the equation of the line that is parallel to this line and passes through the point (5, -5). Find the equation of the line that is perpendicular to this line and passes through the point (5, -5). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: C 0=0 X ?

0 ] : def one_resampled_percentage ( tbl) : sample = tbl . sample ( ) num votes = votes. num rows percentage = (np. count_nonzero (sample. where ( 'Vote', are. equal_to ( 'Cham Thai' return percentage one_resampled_percentage (votes )

Let the inverse demand function for the vaccine of the monopolist BoTex be given by: p(q) = 360 - 2q (p: Price in E ; q: Quantity in millions of units). The cost function is given by 1000 + q2. a) Calculate the profit maximizing quantity of BoTex. b) Calculate the monopoly price. c) Calculate the profit

Ggghhgghff Use the definition of continuous to determine whether the function given below is continuous at x=3. Show all the required work on your paper. If it is continuous, write that in the answer blank. If it is not, write the type of discontinuity in the blank. 3x +5 , ifx 3

Compute dy dx where yex + ln(y + 1) = 2xy. You should isolate the dy dx term. Do not Simplify..

2 f' (2 Inx) Suppose f (4) = 5 and dx = 2. Find the value of f(0)

f (2 In x) Suppose f (4) 5 and 2. Find the value of f (O).

[Exam Question 5] Sketch the graph of a function f (x) that satisfies the given conditions. (12 points) a.) Domain: [-7, 00) b.) Intercepts: (-5, 0), (5, 0) c.) f' (x) 0 on (-7, 1) and (5, co ) e.) f" (x) 0 on (3, 00)

How much sleep do college students get on a typical night? Some say that getting 8 hours of sleep per night is ideal. Being college students (and having additional responsibilities outside of the classroom), this might not always be the case. Let's assume that college students get 8 hours of sleep per night. To investigate whether or not this may

the average time each http request spends in queue before being processed at a web server is 2 minutes

Find the equation of the tangent plane at the point x = x0 = 4, y = yo = 1 of the surface z = f (x, y ) = xyexty Select one: O a. z = 4e' + 8es(x - 4) + 5es (y - 1) O b. z = 4e' + 8es(x - 4) + 9e5 (y - 1) O c. None of these O d. z = 45 + 9es(x - 4) + 8es (y - 1) e. z = 405 + 5es(x - 4)+ 85(y - 1)