Differentiation Questions and Answers
Calculus
DifferentiationIf 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
Calculus
DifferentiationFind 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
Calculus
DifferentiationFind 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
Calculus
DifferentiationFind 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
Calculus
DifferentiationCheck 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
Calculus
DifferentiationComplete 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
Calculus
DifferentiationThe 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
Calculus
DifferentiationMotion 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
Calculus
DifferentiationThe 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
Calculus
DifferentiationFollow 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
Calculus
DifferentiationPart 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
Calculus
DifferentiationIf 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
Calculus
Differentiationa 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
Calculus
DifferentiationSimplify 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
Calculus
Differentiationa 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
Calculus
Differentiationsin COS Simplify tan 3 csc t cot t 1 0 2 3 ans X to a single trig function with no fractions
Calculus
DifferentiationIn 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
Calculus
DifferentiationAssume 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
Calculus
Differentiationdo 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
Calculus
DifferentiationUse implicit y VI differentiation to find y and then evaluate y at 7 4 9xy y 248 0 Simplify your answer
Calculus
DifferentiationQuestion 2 0 5 points Listen 6 Evaluate cos x sin x dx O cos7 x C cos x C 0 1 cos x c
Calculus
DifferentiationMohamed 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
Calculus
Differentiation2 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
Calculus
DifferentiationFind 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
Calculus
Differentiation17 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
Calculus
DifferentiationTT 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
Calculus
Differentiation47 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
Calculus
Differentiation42 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
Calculus
Differentiation43 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
Calculus
DifferentiationGiven 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
Calculus
Differentiation27 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
Calculus
Differentiation35 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
Calculus
DifferentiationEight 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
Calculus
Differentiation6 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
Calculus
DifferentiationFind 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
Calculus
DifferentiationWhat 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
Calculus
DifferentiationFind an angle with 0 0 360 that has the same Sine as 60 0 Cosine as 60 0 degrees degrees
Calculus
Differentiation8 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
Calculus
Differentiationsin 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
Calculus
Differentiationsin 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
Calculus
Differentiation1 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
Calculus
Differentiation25 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