Differentiation Questions and Answers

Find the derivative of f x 2x log3 2x5 9 O a f x b c d 16x7 2x5 9 In3 20x12 2x5 9 x 16x log3 2x 9 f x 16x7log3 2x5 9 f x 16x7log3 2x5 9 20x8 2x5 9 In3 20x12 2x5 9 In3

Find the derivative of f x 5x e 4x a f x 35x6e 4 b f x 35x5e 4x 20x e 4 c f x 35x6e 4x 5x e 4x d f x 140x6e 4x

Find the area of the triangle whose measurements are A 47 b 32 c 19 32 Select one O a 37 57 Ob 444 66 Oc 223 56 O d 222 33 47 19

Use this partial fraction decomposition for questions 24 25 6 G x 3x x 3 a b 11

Which of the following describes the symmetry of the rose graph r 3cos20 Select one O a Only the origin Not symmetric about the x axis y axis or orgin The x axis y axis the origin Only the y axis Oe Only the y axis O b O c O d

Use this information for questions 1 2 Let A 3 5 B 2 1 and C 1 4 Find the magnitude of the vector 20 Round your answer to the nearest hundredth Find the magnitude of the vector AB BC Round your answer to the nearest hundredth

Use the method of Lagrange multipliers to find the maximum and minimum of f x y 9xy subject to x y 12 Select the correct choice below and if necessary fill in the answer boxes to complete your choice A The maximum value is It occurs at the point s given by the ordered pair s Use a comma to separate answers as needed B The function does not have a maximum

Use the method of Lagrange multipliers Maximize f x y 2xy x y 10 subject to Max f x y Simplify your answer

2 Minimize f x y x y subject to 8x 2y 136 X 16 y 4 The value of f at the minimum is

a Find the Riemann sum for f x 2 sin x 0 x 3 2 with six terms taking the sample points to be right endpoints Round your answers to six decimal places R6 b Repeat part a with midpoints as the sample points M6

Find all values of x and y such that Px x y 0 and Py x y 0 simultaneously P x y 4x 8xy 5y 16x 4y 4 Px x y 0 and Py x y 0 when x and y INI

If f x ex 5 0 x 2 find the Riemann sum with n 4 correct to six decimal places taking the sample points to be midpoints M x

Find Cxy x y if C x y 9x 7xy 9y 4x 2y 3 Cxy x y

1 of 21 1 point Atte the indicated operati

Question 7 of 21 1 point Attempt 1 of Unlimited View question in Part 1 of 2 Find the modulus of each complex number Give an exact answer Write your answer as a simplified fracti a 3 7 Content 4i M The modulus is

stion 5 of 21 1 point Attempt 1 of Unlimited View question the modulus of each complex number Give an exact a art 1 of 2 a 20 21i The modulus is

4x 8 if x 2 if x 2 of 3 Identify the general shape and direction of the graph of this function on the interval 2

Use the chain rule to compute the derivative yu 8 for x 01 0 4 0 1 de for the given value of x

Consider the following piecewise defined function f x x 2 3x 3 Answer if x 6 if x 7 Step 2 of 3 Evaluate this function at x 7 Express your answer as an integer or simplified fraction If the function is undefined at the given value indicate Undefined K Keyboard S Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered answer is used

Consider the following plecewise defined function 10x x x 2 if x 6 if x 27 Step 1 of 3 Evaluate this function at x 7 Express your answer as an integer or simplified fraction If the function is undefined at the given value indicate Undefined Answer Keyboard S Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered answer is used

Solve for 2 Round to the nearest tenth if necessary X 24 70 U

Homework A projectile is launched from ground level v Find the time s that the projectile will a re a Find the time s that the projectile will r your choice

A 13 foot long ladder leans on a wall a from the wall If the bottom is pulled ou down the wall

Use the figure to find BE U BF Which of the following is BE U BF EF D

7 Let y x 2 3 express dy in term of dx Use the expression with suitable values of x and dx to approximate 0 799 2 3

Theoretical Prob Apr 21 11 41 20 AM Ava rolls a standard s describes the probab

6 What is the least amount of sheet metal needed to make a closed cylindrical tank that will hold 250 cubic meters

2 Given that x x t and y y t are two functions in the variablet and that xy 3x 2y find dy dt at x 1 y 3 and dx dt 5

Find the volume of the solid E whose boundaries are given in rectangular coordinate x y z x y 2 49 x y x 0 y 0 T 2 52 1 X

Find the volume of the colid ob ained by rotating about the x axis the region enclosed by the curves y 25 x 25 y 0 x 0 and x 5

Analyze the graphs of f x and g x Describe the transformations performed on f x to create g x Then write an equation for f x in terms of g x For each set of points shown on f x the corresponding points are shown on g x are shown on g x b g x 8 K 14 12 10 8 6 4 own on fix the 100 A W

Determine the implied domain of the following function Express your answer in interval notation f x x 6 9 Answer

Problem A catapult is placed 100 ft from the castle wall which is 35 feet high The soldier wants the burning bale of hay to clear the top of the wall and land 50 feet inside the castle wall If the initial velocity of the bale is 70 feet per second then at what angle should the bale of hay be launched so that it travel 150 feet and pass over the castle wall Use g 32 ft sec

Find a power series representation for the function f x 272 1 and determine the interval 2x 1 of convergence

Let f x 5x 2x 2 f x f 2 5x 1 5x 2x 2

If f x 2x 3 find f x 6 2x 3 4 Find f 1

If f x x 5x 3 then f x 4x 30x 62x 30 3 f 2

Find the derivative of the function given below Show the setup in every step Inside the and O symbols there are functions of x Upload an image or PDF of your solution

Find the derivative y et 4x 6 O ex 4x 8x 6 4x 6 ex 1 4x 6 8x ex 4x 6 O ex 1 4x 8x 6 4x 6 O ex 4x 8x 6 2 4x 6

Use this to answer questions 19 20 x 49 x 5 x 6 B A x 5 x 5 x 6 What is the value of A for the partial fraction decomposition A What is the value of B for the partial fraction decomposition

After we find the first derivative of the following function and simplify our answer what is the first rule that needs to be used to find the second derivative f x e ln x The Quotient Rule The Power Rule combined with Chain Rule O The Product Rule The Chain Rule

Find the gradient field F Vp for the potential function p Sketch a few level curves of p and a few vectors of F 2 2 2 p x y x y for x y 25 What is the gradient field for p F

Find the 13th term of the arithmetic sequence 1 3 5

Find the gradient field F Vop for the potential function p Sketch a few level curves of op and a few vectors of F p x y 2x 3y for 2x 3y 96 What is the gradient field for F

4y Find the gradient field F Vp for the potential function p X www

p 2x y 2y x Find the gradient field F Vo for the potential function p

Convert 31 C to Fahren degrees in Celsius

Questio Convert the temperature as indi s the degrees in Celsius C 0 F

roof Part 2 of 2 Use the true conditional statement shown below State the conv If a number is divisible by 6 then it is divisible by 3 A If a number is not divisible by 6 then it is not divisible B If a number is divisible by 3 then the number is divisi OC If a number is not divisible by 3 then the number is n D If a number is divisible by 3 then the number is not d

A company selling widgets has found that the number of items sold a depends upon the price pat 90000 which they re sold according the equation 5p 1 Due to inflation and increasing health benefit costs the company has been increasing the price by 4 per month Find the rate at which revenue is changing when the company is selling widgets at 140 each dollars per month