Differentiation Questions and Answers

If the price charged for a candy bar is p x X 10 p x 152 a Find an expression for the total revenue b Find the value of x that leads to maximu c Find the maximum revenue

Find the derivative of the function f x 4x 5e x e

Find the second derivative of the function f x x 4x 1 5 OO 44x 1 4x 1 4 5x 4x 1 40x 4x 1 44x 3 20x 4x 1

Find the derivative of the function f x 4x 7 x 04 7 x 26 2 7 0 2 26 7 04 2 4 7 x

Find the derivative of the function f x 6x4 4e6 O O 24x 4e6 24x 24e6 24x 24e

Find the tangent line to the parabola y 7x x at the point 2 10 a y 3x 4 b y 3x 4 Ody 1 4 3 c d y 6x 3 O e None of these

Find the limit lim 2 03 1 x x 2 if it exists X 2 X 2

Check if the Mean Value Theorem can be applied to f x 13x 13z 12 on 8 9 If so find all values c in 8 9 guaranteed by the Mean Value Theorem Separate multiple answers with commas If the Mean Value Theorem does not apply enter DNE help numbers

Complete parts a through f below to find nonnegative numbers x x y 81 and P x y is maximized a Solve x y 81 for y y 81 x

K Complete parts a through f below to find non 2 is maximized 21 and D

The velocity of a particle moving along the x axis is v t its position is 2 What is the position of the particle s t at any time t Choose 1 answer A B D s t 2t s t 2t 2 s t 12 s t 2 3 2 3 312 t t 312 10 3 1 vi Att 4

Motion problems with integrals Google Classroom As a particle moves along the number line its position at time t is s t its velocity is v t and its acceleration is a t 12t 4 If v 2 4 and s 0 1 what is s 1 s 1

The velocity of a particle moving along the x axis is v t t t At t 1 its position is 1 What is the position of the particle s t at any time t Choose 1 answer A B D 1 s t t s t 113 3 1 2 3 s t 1 3 1 2 t s t t t 1 6 56

Follow the steps below to find the nonnegative numbers x and y that satisf below x y 240 and the product P xy as large as possible

Part 3 of C x X Determine the average cost function C x alculator to find where the derivative is 0 Check your work by finding 1 3 Cx x 5x 5x 30 To find where the av

If a ball is thrown into the air with a velocity of 60 ft s its height in feet after t seconds is given by H 60t 91 Find the velocity when 9

Score 178 170 d Question 8 Find all zeros q f x 12x4

a Find a B Note Triangle may not be drawn to scale Suppose c 15 and A 85 degrees b B H C b C Give all answers to Joact on decimalplaca C degrees

Simplify 0 sin t sin t cos t ans t to an expression involving a single trig function with no fractions If needed enter squared trigonometric expressions using the following notation Example Enter sin t as sin t

a a la 2 V sin COS TU tan Fill in the blanks 3 If cos x 7 1 DEG 4 5 0 8 9 1 If tan x 1 then tan x 2 3 2 If sin x 0 5 then sin x 6 0 2 then cos x 1 X ans T clear all 1 a b X

sin COS Simplify tan 3 csc t cot t 1 0 2 3 ans X to a single trig function with no fractions

In 2013 Joshua gave 9 300 worth of XYZ stock to his son In 2014 the XYZ shares are worth 30 300 What was the gift tax in 2013 Leave no cells blank be certain to enter 0 wherever required Gift tax

Assume your gross pay per pay period is 4 300 and you are in the 33 percent tax bracket Calculate your net pay and spendable income if you save 430 per pay period in an employer sponsored tax sheltered annuity Do not round intermediate calculations Round your answers to the nearest whole dollar Net pay d

do ab a n B sin COS tan 9 7 4 1 0 8 5 9 6 2 3 X ans Simplify csc t tan t to a single trig function Your answer should be one of the following

Use implicit y VI differentiation to find y and then evaluate y at 7 4 9xy y 248 0 Simplify your answer

Question 2 0 5 points Listen 6 Evaluate cos x sin x dx O cos7 x C cos x C 0 1 cos x c

Mohamed Salad Attempt 1 Question 2 0 5 points 1 Listen Evaluate Jo 1 x TABLE OF INTEGRALS BASIC FORMS J 5 1 2 4 2 3 Uw hint Look at refere

2 X 8 x For the function f x find f x Then find f 0 an Select the correct choice below and fill in any answer box Simplify your answer Type an exact a OA f 0 OB f 0 is undefined Select the correct choice below and fill in any answer box

Find the x values of all points where the function has f x x 3x 24x 1 Select the correct choice below and if necessary fi

For a standard normal distribution find P 0 64 z 1 18

17 Find the inverse of f 4 1 3 7 2 8 6 3 A 4 3 2 6 1 7 8 3 B 4 1 3 7 2 8 6 3 C 1 4 7 3 8 2 3 6 D 3 4 6 2 7 1 3 8

TT 26 What is the phase shift of y cos x 4 A I z to the right 2 B to the left 2 C to the left TT D to the right 4

45 Graph the inverse of the following x A B I C D

47 Between what values of x is cos x a increasing function A Between x 2n 1 and 1n where n is any integer B Between x 2n and 2n where n is any integer C Between x 2n and 2n 1 where n is any integer D Between x 2n 1 and 2n where n is any integer

42 Evaluate sin 54 cos 9 cos 54 sin 9 What is the second step equal to A sin 54 9 B sin 54 9 C cos 54 9 D cos 54 9

43 What is another identity you would use to convert the RHS secesine to tane A csce 1 sine B tane sin e cos B cote C sin 0 1 cos 0 tan 8

Given A Quadrant I Find the values of the following sin A 10 sin A B 10 10 C 3 10 10 D 3 15 cos B 5 17 angle A is in Quadrant III and angle B is in

27 Reduce the following expression to a single function of one angle cos 45 A cos 45 A A 2 ina B 2 sin A C 2 cos A D 2cOSA

35 Construct one period of the graph of the equation Y 2cos A 2 B 24 2 C 2 4 D 2 31 3tt 2 3TL TL 31 3T 6 TL 2TL 3 Start at x 0

Eight years ago Burt Brownlee purchased a U S government bond that pays 5 50 percent interest The face value of the bond was 1 000 a What is the dollar amount of annual interest that Burt received from his bond investment each year Round your answer to 2 decimal places Amount of annual interest 55 b Assume that comparable bonds are paying 5 45 percent What is the approximate dollar price for which Burt could sell his bond Do not round intermediate calculations Round your final answer to 2 decimal places Approximate market

6 a Determine the area of the region bounded by the curves x y and x 4y h Determine the volume of the region from a revolved about the y axis

Find h x where f x is an unspecified differentiable function 3 In x f x h x Choose the correct answer below O A O B O C O D h x In x f x f x In x 3f x x In x f x x f x h x h x In x f x f x f x h x x In x f x 3f x x In x

What is the reference angle sin 330 0 In what quadrant is this angle Without using a calculator compute the sine and cosine of 330 by using the reference angle cos 330 ans Type sqrt 2 for 2 and sqrt 3 for 1 degrees answer 1 2 3 or 4

If cos 0 sin 0 5 and is in the 2nd quadrant find the exact value for sin 0 8

Find an angle with 0 0 360 that has the same Sine as 60 0 Cosine as 60 0 degrees degrees

8 Y 0 Consider a circle with radius 12 that is centered at the origin Find the exact x and y coordinates of on this circle corresponding to an angle 150 the point ans t Remember to give exact answers using square roots if necessary

sin COS tan 1 0 a 467 is coterminal to b 148 is coterminal to c 1172 is coterminal to 2 d 1474 is coterminal to 3 ans Find the angle between 0 and 360 that is coterminal to the given angle O O O X t

sin COS TC tan 4 Next question 1 0 x 0 1348 5 2 6 3 X 1 ans Please show all your work NO WORK NO CREDIT Score on last try 0 of 10 pts See Details for more t Find the solution of the exponential equation 15e 3 8 A Get a similar question You can retr X 1

1 2n 3 7n n 2 2 42x 10 y 5 12x 8 y 3 6x 2 y 6x 2 y The length width and height x 7 and x 1 Write an

25 28 Visually estimate the location of the centroid of the region shown Then find the exact coordinates of the centroid 25 26 27 0 2x y 4 y x 2 X 2 x 28 1 YA YA 0 X y e