Question

Consider the function ?(?)=?^3 − 4x^2 + 3? − 2 1) Find the average slope of...

Consider the function

?(?)=?^3 − 4x^2 + 3? − 2

1) Find the average slope of this function on the interval (1,5).

2) Find c.
By the Mean Value Theorem, we know there exists a c in the open interval (1,5)such that f′(c) is equal to this mean slope. Find the value of c in the interval which works.

I assume the answer of first one is 10, but I wasn't sure how to approach the second one. Please help!

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(1)

The average slope of this function

(2)

From Mean value theorem

Value which is in the given interval (0,5)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
f(x)=2x^3−15x^2−36x+8 on the interval [−5,7]. Find the average or mean slope of the function on this...
f(x)=2x^3−15x^2−36x+8 on the interval [−5,7]. Find the average or mean slope of the function on this interval. Average slope = 12 By the Mean Value Theorem, we know there exists at least one cc in the open interval (−5,7) such that f′(c) is equal to this mean slope. Find all values of cc that work and list them (separated by commas) in the box below. List of numbers: need answer for second part..
Consider the function f(x) = x^3 − 2x^2 − 4x + 7 on the interval [−1,...
Consider the function f(x) = x^3 − 2x^2 − 4x + 7 on the interval [−1, 3]. a) Evaluate the function at the critical values. (smaller x-value) b) Find the absolute maxima for f(x) on the interval [−1, 3].
Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1,...
Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval [−1, 3]. Find f '(x). f '(x) = 3x2−4x−4 Find the critical values. x = Evaluate the function at critical values. (x, y) = (smaller x-value) (x, y) = (larger x-value) Evaluate the function at the endpoints of the given interval. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the absolute maxima and minima for f(x) on the interval [−1, 3]. absolute...
find all real zeros if the function P(x)=2x^4-x^3-4x^2+10x-4 i know all possible zeros are + or...
find all real zeros if the function P(x)=2x^4-x^3-4x^2+10x-4 i know all possible zeros are + or - 1, +- 1/2, +-2, +-4 im not sure how to do this and show the work
8. Consider the function ?(?) = 4 − 6?2 on the interval [−2,5]. Find the value(s)...
8. Consider the function ?(?) = 4 − 6?2 on the interval [−2,5]. Find the value(s) of ? that satisfies the conclusion of the Mean Value Theorem to four decimal places.
1.) Given the continuous function ?-4x in the interval [0,1], determine the Fourier coefficients ??,?1,?2,?3. 2.)...
1.) Given the continuous function ?-4x in the interval [0,1], determine the Fourier coefficients ??,?1,?2,?3. 2.) Reconstruct an approximation to ?-4x by using the four coefficients found in part 1 (above). Plot the resulting function in the interval [0,1].
Consider the following function. g(x, y)  =  e− 4x^2 + 4y^2 + 8 √ 8y (a)...
Consider the following function. g(x, y)  =  e− 4x^2 + 4y^2 + 8 √ 8y (a) Find the critical point of g. If the critical point is (a, b) then enter 'a,b' (without the quotes) into the answer box. (b) Using your critical point in (a), find the value of D(a, b) from the Second Partials test that is used to classify the critical point. (c) Use the Second Partials test to classify the critical point from (a). A) Saddle...
1. What is the slope of 〖y=4x〗^0.5+10x^(2 ) when x=16? 2. What is the slope of...
1. What is the slope of 〖y=4x〗^0.5+10x^(2 ) when x=16? 2. What is the slope of y=〖100-6x〗^0.5 when x=6? 3. Given the demand function is q=〖(1200-2p)〗^0.5 What is the point elasticity of demand when quantity is 30? (hint: you should write p as a function of q and then take the derivative. Then use the elasticity formula. 4. Derive the TR and MR functions if q=200-0.4p. If TC=11q^3- 22q^2+30q+20 find the MC function. 5. If a firm faces TR and...
Consider the function f(x) = (8x^3-4x)^3 (a) Find the derivative (b) Find critical numbers of f....
Consider the function f(x) = (8x^3-4x)^3 (a) Find the derivative (b) Find critical numbers of f. (Hint there are 5 critical numbers) Round your answers to three decimals. (c) Fill out the sign chart for the derivative below. Please label the axis as appropriate for your critical numbers. (d) What are the relative max(es) and min() of f?
11) Let p(x) = (4x^2-9)/(4x^2-25) (a) What is the domain of the function p(x)? (b) Find...
11) Let p(x) = (4x^2-9)/(4x^2-25) (a) What is the domain of the function p(x)? (b) Find all x- and y-intercepts. (c) Is function p(x) an even or odd function? (d) Find all asymptotes. (e) Find all open intervals on which p is increasing or decreasing. (f) Find all critical number(s) and classify them into local max. or local min.. (g) Sketch the graph of p. [Please clearly indicate all the information that you have found in (a)–(f) above.]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT