Mathematics Questions and Answers February 08, 2020

Find the slopeintercept form of the tangent line to a curve at a given point. f (x) 3x6x f (x) vfi 2. 3. 3x SHOW COMPLETE SOLUTION

Hello! Please help me answer these questions: https://drive.google.com/drive/folders/1-8ncQ2FGBXNA-DIqfI1FGmr_4jNboxFh

please explain. I understand the first step is to take the derivative and then equal to zero, but after that I'm unsure how to go about this problem. Find the critical points of the function 4sin r cos (I) contained in the interval (0, 27) Use a comma to separate multiple critical points. Enter an exact

help me with this 3. Consider the following non-linear system of equations. X1 + 2x2 = 2 x2+ 4x5 = 4 Obtain the solutions {x} using Newton- Raphson Method with initial value of XD = 1; X2 = 2. Perform 2 iterations

Scores on a standardized test have a mean of 72. Some modifications are made to the test, and an educator believes that the mean may have changed. a. State the appropriate null hypothesis __________________ b. State the appropriate alternate hypothesis ______________

Let X be the weight in grams of a full-term newborn baby. Suppose X has a normal distribution with mean 3432 grams and standard deviation 482 grams. Let Y=X/454 be the weight in pounds. Show that Y also has a normal distribution. Hint: Show that fY(y) is a normal pdf or show that M(t) is a normal mgf.

Using the software, R: 1. How do you conduct a difference of means test to determine if a relationship between two variables is statistically significant? 2. How do you code for a tabular representation? 3. How do you state the null and alternative hypotheses for your hypothesis? 4. How do you report the t-statistic and associated p-value from the

Determine the length of c to the nearest tenth of a centimetre. 30.0 cm 87" 53" B C

Determine the length of c to the nearest tenth of a centimetre. 30.0 cm c

)n> 8. If A = {1, 2, 4), B = {3, 41), and A + B + C = (3, l, 2), determine C and write it as a linear combination of the standard unit vectors for H3

QUESTION 9 The marginal revenue function to produce q units of a certain item is given by the equation W / H R (q) = 400 - 25V q . Estimate the total revenue if 80 units are sold. O 31,917 O 26115 O 30,007 O 28442

Resolver la ecuacin y'' + 16 y = f ( x ), con y (0) = 0, y' (0) = 1, utilizando latransformadadeLaplacesabiendoque f ( x )= cos (4 x )si0 x p, f ( x )=0si x >p.

4. For each shipment of parts a manufacturer wants to accept only those shipments with at most 10% defective parts. A large shipment has just arrived. A quality control manager randomly selects 50 of the parts from the shipment and finds that 6 parts are defective. Is this sufficient evidence to reject the entire shipment? Use a .05 level of

Question 8 (1 point) If y = A(x - 2x + 7) and f(10) = 2, determine " at x = 3. 2 6 O 20 Question 9 (1 point) Which of the following are the coordinates of a point where the tangent to Ax) = =x3 - x2 - 3x+ - is horizontal? O (3, -9) O [-3,-84) O ( - 1, 2 ) O (1-3 3)

What steps would I do to figure out when a force of 36 Newtons is applied to springs S1 and S2, the displacement of the springs is 6 centimeters and 9 cm,respectively. What is the difference between the spring constants of the two springs, in a whole number?

Given f(c) cos(2c) c, what is the value of f

Area of the plane region y = 2x2 + 1 andy = x2 +5 (Answer: 32 S. U. 3

32 y 2x2 1 and y x2 5 (Answer s. u.)

7. Using the Integral Test to determine whether the following series converges or diverges. k +1 (a) kok + 2k + 4 2k (b ) k-1 e

2. With sample size set to click time timesand 1000 times." Describe the resulting samping distribution . How does it compare to the original population distribution ?

Step 1: SPSS spreadsheet Put the data into SPSS (data view) You will need one column per combination of IVA levels by IVB levels (i.e., if IVA had 3 levels and IVB had 2 levels then you would have 6 columns) with the dependent variable (SCORES) in the rows. Variable view name the variables label the variables set the number of decimal places to

Finding Scores 5.13 IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with A. The upper 2 percent, that is, 2 percent to the right (and 98 percent to the left)? B. The lower 10 percent? C. The upper 60 percent? D. The middle 95 percent? [Remember, the middle 95

You deposit $100 into an account each month that earns 4% compounded monthly. How many months until you have at least $6000 in the account? 17700 55 65 1231

A light bulb factory randomly selects 100 bulbs for service life inspection. The average life span is 1250 hours, and the standard deviation of the service life is 240 hours. If the average life span of all bulbs is between 1178 and 1322 hours, how reliable is it?

Let f (ac) = (20 - 7)2 Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f restricted to this domain f -1 (a)

For a quarterly time series over the last 3 years (Year 1, Year 2, Year 3), the following linear trend expression was estimated: = 112 + 2.3t. The forecast for the first quarter of Year 4 (period 13) is O a. 156.2 O b. 133.9 O c. 144.5 O d. 141.9

You take out a mortgage for $450, 000 at 5.5% compounded quarterly for 15 years. (a) What are your periodic payments IF you save 10% for a down payment first? (b) How muchinterest is paid over the life of the loan

Find the area of the following region. The region common to the circle r = 6 and the cardioid r = 6(1 - cos 8)

What three criteria can researchers use to determine how many factors should be retained from an EFA?

17 (8 points) Evaluate the following integrals sin 8 cos 8

Apply differentiation rules (QUOTIENT RULE) to find the derivative of: h(x)= 46 xz-Z

Apply differentiation rules (QUOTIENT RULE) to find the derivative of

Question 5 (1 point) What is the expected value of spinning the following spinner? 11 2 O7 O 6.7 O 8 5.5 Question 6 (1 point) Calculate the expected value for the given probability distribution. X 1 1 14 12 p(x 0.22 0.15 O0.63 12.65 13.04 11.82

Question 2 (a) Consider the field f(x, y) = e siny, on the ry plane. Using mathematical arguments check whether the vector field Vf is (i) conservative and (ii) solenoidal

QUESTION 5 Which of the following best represents the area bounded by y = 4x and y = x O -18 10.67 O -10.67 O 18 QUESTION 6 Find the area between the graphs of y = 4 - x and y = -x2 + 6. O 4.5 5.5 7.8 O 4.8

Let R be the region in the first quadrant bounded by the x-axis and the graphs of y = 4-x and y = In (x - 1) , as shown in the figure below. R

Exercise 1. Purchase Rating a) To show that the television commercial was effective in improving the mean purchase potential rating, identifying Ho and Ha for testing the difference between two mean. b) Identify the appropriate t-test. Explain your selection. c) Conduct the test using an = .05. d) Interpret your results in the context of this

In which quadrant(s) is sin >0? In which quadrant is sin <0 and tan>0? What is the reference angle to 100 degrees? If the reference angle is 55 degrees, then what is the equivalent angle in quadrant III? Using your calculator, find the reference angle to the nearest degree. cos =11/4

3) Given that coso = V3 and that O lies in quadrant IV, determine the value of sinO. 2 A) B NIH ( ) V2 2 D) V3 2

Question 11 Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 0.2061 The indicated z score is (Round to two decimal places as needed.)

18 0.00 out of 1 00 Solve for the unknown side of the following triangle, to the nearest tenth of a unit. Side x is 10 units 197 30 18.8

Identify the dependent and independent variables in the following hypothesis. Hypothesis Latiny have the highest rate of diabetes

Solve each triangle given the angles and sides. 4. B=152 degrees a=8 b=10

show clear solution please use white plain paper if handwritten i will give upvote tysm 3- Find the vector A having 1% as a representation where P = (3, 7) and Q = (5, 4). Draw ITQ. and the position representation of A

De cunto es la depreciacin anual de una mquina que cost $150,000, si ser utilizada durante 6 aos, y al final se gastarn $18,600 en su remocin y cambio por otra ms moderna?

Suppose that an annuity has a present value P=$180,000P=$180,000. What interest rate rr would allow for perpetual annual payouts of $11,000? Round to two decimal places.

Marriage status (married, single, etc.) of the faculty at a university would be considered:

The graph of the polynomial function below, has a zero of multiplicity 2

The graph of the polynomial function below, has a zero of multiplicity 2. x O True O False

4. Determine the positive real roots of the equation In(x2) = 0.7 The accepted tolerance is 1%

4. Determine the positive real roots of the equation In(x2) 0.7 The accepted tolerance is 1

3. In 2019, 190,000 college students took the GRE test (ranging from 130 to 170) preparing for graduate school admission. These GRE scores were normally distributed with a mean of 143 and a SD of 5.8. Find the 95th percentile GRE score and 35" percentile GRE score in this population (10 points)

In which quadrant(s) is sin >0? In which quadrant is sin <0 and tan>0? What is the reference angle to 100 degrees? If the reference angle is 55 degrees, then what is the equivalent angle in quadrant III? Using your calculator, find the reference angle to the nearest degree. cos =11/4

What is the simple interest rate on a $1700 investment paying $586.50 interest in 11.5 years? % (round to the nearest tenth of a percent)

Draw graph of y = -5 x

Find the percent of the area under the standard normal curve between z = - 2.36 and z = - 0.14. III O A. 43.9% O B. 43.4% O C. 43.1% O D. 43.5%

When solving, use chain rule to find the derivative (a.k.a. slope) (2 points) Suppose that f(x) - 5x(1 42). Find an equation for the tangent line to the graph of f at a - 2. Tangent line: y =

13. Apoll by the student paper at University of X on the abolition of foreign language requirements found that 43% of a randomly sampled 150 underclassmen favored the abolition, while 68% of a randomly sampled 150 upperclassmen favored the abolition. Were upperclassmen more likely to favor the abolition of the foreign language requirement than

Topic: Anti Differentiation

clm 1 3)100 (ln))3 17. 19. 21. 23. J cos CIT .T sin dc 2) 25. 27. 29. 31. secg2) tan2) dT 4 11. 13. 15. (In 36 2

3 By looking at the graph, you can conclude that f(x) is not differentiable when x =-2. True False

By looking at the graph, you can conelde not differentiable when True O I False

Answer: -6 # Let w be the function given by .h( x) w (x ) = "f (t) dt. Find the value of w' (3 )

[-/3.33 Points] DETAILS SPRECALC7 6. 1.058. MY NOTES ASK YOUR TE Find the length s of the arc that subtends a central angle of measure 90 in a circle of radius 11 m. (Round your answer to two decimal places.) S E Need Help? Read It

https://cdstools.flipswitch.com/asset/media/1233107 Why are they called an "impossible reality"? Describe components that support your answer.

Page Part 3:Thinking [13 marks] 20. Given a = [6, 5, 1], E = {3, 5, 1] and a = [8, 5,2], find a) B - E [2 marks] bl (1' X E [2 marks] c) 9, the angle between ('1' and E [3 marks] d] pro-jag [3 marks] e] Are the vectors (if). and E coplanar? Show your answer algebraically. [3 marks]

Compute the derivative of the following function

N/A A wall is 7200 sq ft A gallon of paint covers 900 sq ft. Complete the conversion factor: 1 gallon / ? sq ft Ex: 5 sa ft Check Next

The average value of the function 244 from 2 = -3 to 2 = 0 is exactly 2 The number o is a constant Find the value of d. Be sure to show all work, including all work for any u-substitutions, antiderivatives, algebra, and evaluations

Determine whether the series is convergent or divergent OO nv In n n=2

Use the following information about the polynomial to write the equation 65. Degree 4. Roots of multiplicity 2 at c = and roots of multiplicity 1 at a = 6 and x = -2. y-intercept at (0,18) . Daccas through the point (P 32)

Using an example, outline the steps involved in performing a Wald test to test significance of a sub-group of coefficients in a multiple regression model

Question 3 4.3 Write the equation for the hyperbola in standard form given the following key components: Vertices: (-1, 9) and (-1, 3) ut of Asymptotes: y = +7 3x + 45 Select one: O a. ()+6)2 (x-1)2 9 = 1 49 O b. (v-6)2 (x + 1 )2 9 + = 1 49 O c. (x +1)2 ()-6)2 49 9 = 1 O d. (y-6)2 (x + 1 )2 9 = 1 49

3. A vector is representing Train A which is heading [N 55 E] 60 km'h. Name an vector which would describe Train B travelling at the same speed as train A but in the opposite direction

Use polar coordinates to find the volume of the given solid. Inside the sphere x2+ y2 + z = 16 and outside the cylinder x + y = 1

The region in the first quadrant end the curves y = 2 - sec.(2)).y = 1. and z = 1 is shown in the graph belowe 9-2- see() Using the method of cylindrical shells, find the volume of the solid generated when the shaded region is rotated about the y-axis

Use the given transformation to evaluate the given integral, where R is the parallelogram with vertices (-2, 2), (2, -2). (4, 0), and (0, 4). L = ffall + 4y) 121: r = an + u), y = a\" _ u)

6. A machinist drilled a conical hole into a cube of metal as shown. If the cube has sides of length Bom, what is the volume of the metal after the hole is drilled? Round to the nearest tenth. [4 marks] Volume of a Cube: Volume of a Cone: Cube Cone b b V= b V - uh 3

Today is September 2, 1978. Ten years ago, you deposited P10,000 per month. You made the deposit continuously for 6 years and then stopped. In September 2, 1982, you established a belt and nut factory. Starting September 2, 1982 you withdraw P100 a month for advertisement. How many months can you withdraw before the money is exhausted? Interest is

G. determine whether the serves converges on diverges If it converges Find its sum

7 If f (ac) = -,g(x) = x +9 and h(x) = x", then (f ogoh)(x)=

7 If f (x) (f ogo 9 and , then

Properties of Z-transform (a) Find the z-transform of y[n] = u[n]-u[n-1] ON (b) Find the initial value of the signal whose z-transform is given X(=) = Z Z

Please answer this and show your solutions on paper . I will give you a very good feedback. on paper please :( Show all necessary solutions. I. Find the equations of the horizontal and vertical Tangents. a. 25:2 + 200:: + 16;}!2 1603; + 400 = 0 b.x3+3x2y2=0

Question 16 (1 point) If f(x) = x" - 1 and g(x) = x+ 1, for what value(s) of x are fig(x)) and g(f(x)) equal? *= *= Ox = 0, 1 Ox = 0 Question 17 (4 points) Show that there is no value of x for which /(x) = -- and g(*) = -x have tangents with the same slope. A/

Draw the graph of y = 2 - | x + 3 |

The length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation of 0.52 inches. In a random sample of 45 boards, what is the probability that the mean of the sample will be between 94.8 inches and 95.8 inches?

Question 8 4.5 8 What is the trigonometric identity that should be used when you are eliminating the parameter from parametric equations containing sine and cosine? out of Select one: O a. sin?t - cost = 1 O b. tant = sini cost O c. sint + cost = 1 O d. sin2t + cost = 1 on 9

2. Suppose Z is N(0, 1). (a) Use the tables to approximate P{Z r} z 0.05? (By not using the tables, I mean knowing only P{k

Which of the following is NOT an equivalent expression for the confidence interval given by 62. 10

0 03 .13

(CO 2) You are selling your product at a three-day event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money all three days?

B12. Evaluate (log10) (log20) a) log 10 + log 20 b) 2(log10)2 c) 1 + log 2 d) (log 4) (1085 ) e) none of these

What do you think the term "significantly" means in "significantly fewer heart attacks"?

Solve the triangle using the Law of Sines. (Assume c = 75, ZA = 410, and ZB = 250. Round lengths to two decimal places.) a= b = ZC = U

How many vertices does a simple graph have if it has 15 edges, and each vertex has a degree 3? 4 6 10 15 None of the above

4 5. Suppose cost , and 5 (a) Find sint (b) Find sin 2t

A man borrowed $500 from a Pay-Day Loan and on Tuesday and he paid off the loan on Friday with $515.75. What annual rate of interest did he pay? O a. None of the choices is correct O b. 12.00% O c. 48.00% O d. 36.00% O e. 24.00%

8. Use the Comparison Test or the Limit Comparison Test to determine whether the given series converges or diverges. k2 + 2k -1 1 + sink (a) *=1 5k' - k + 3 (b) k = 1 2k2 (Hints: - 1

4) Find the Maclaurian seriesfor F(x) = esx and the radius of convergence. 5) Find the area of the region bounded by the curves y = x2 and y = 4x - x2. Sketch the region

Let p be prime and let a be not congruent to 0 (mod p). Let b = a^p-2 (mod p). Show that b is a multiplicative inverse for a mod p.

A plane ticket to Hawaii costs $986. Travel insurance (which will refund the 1 point entire purchase) is $47 if the trip is canceled. Find the expected value if there's a 13% chance of the trip being canceled. Round to the nearest cent. Your

1- Find the total resistance for a parallel circuit with three branches with resistances at 3 , 5 , and 10 2- A sheet of metal is 4 ft, 6 in by 8 ft, 2 in. Express the area of the sheet in square yards. 3- A gear on a machine you are running has a revolution count of 248,358 at 8 am. The count at 11 am is 271,245. Find the revolutions per second

Question 14

O Question 14 If csc(c) 5, for 900 sin cos tan Check Answer c 1800 1 pt 0 1 Deta then

Find at least 2 real examples of Normal Probability curve. Compare & Discuss its properties (your example) with the properties of the Normal curve. Explain your inference.

Draw the graph of y= | tan x |

Determine the length of KL to the nearest centimetre. 57 26 cm 30 cm K

Determine the length of KL to the nearest centimetre. 30 cm 26 cm

Given T = 3 1+2 cos 0 Equation of the directrix [Select ] Name of the curve [Select]

Given r 3 12 cos 9 Equation of the directrix Select J Name of the curve Select I

8. (10 Points) at a: : 2. Show Given the following table of values, nd an equation of the line tangent to h(.17) : f( 3) it all steps of your solution. 0 Find point (yvalue when at : 2). a Derivative rules. 0 Find slope (when m : 2). . Equation of a line