Question

The function  f ( x ) = 3 x ^3 + 5 x + 12 satisfies the...

The function  f ( x ) = 3 x ^3 + 5 x + 12 satisfies the hypotheses of the Mean Value Theorem on the interval [0, 2]. Find all value(s) c that satisfy the conclusion of the theorem.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Verify that the function f(x) = 5x 3 − 2x − 4 satisfies the hypotheses of...
Verify that the function f(x) = 5x 3 − 2x − 4 satisfies the hypotheses of the Mean Value Theorem on the interval [−2, −1]. Then find all numbers c that satisfy the conclusion of the Mean Value Theorem.
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)...
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 + x − 9,    [0, 2] Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on .No, f is not continuous on [0, 2].    No, f is continuous on [0, 2] but not differentiable on (0, 2).Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.There is...
1) Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval....
1) Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = 1 − 12x + 2x^2, [2, 4] c = 2) If f(2) = 7 and f '(x) ≥ 1 for 2 ≤ x ≤ 4, how small can f(4) possibly be? 3) Does the function satisfy the hypotheses of the Mean Value Theorem...
Verify that the function f(x)=-x^3+2x^2+1 on [0.1] satisfies the hypothesis of the mean value theorem, then...
Verify that the function f(x)=-x^3+2x^2+1 on [0.1] satisfies the hypothesis of the mean value theorem, then find all the numbers c that satisfy the conclusion of the mean value theorem.
Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval....
Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the Mean Value Theorem. f(x) = e^-x , [0,2]
Verify that the function satisfies the hypotheses of the mean value theorem in the given interval....
Verify that the function satisfies the hypotheses of the mean value theorem in the given interval. Then find all the numbers x \ c that satisfy the conclusion of the mean value theorem. a. ?(?) = 2? 2 − 3? + 1,[0,2] b. ?(?) = x 3 − 3x + 2,[−2,2]
1. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?...
1. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 + x − 5,    [0, 2] a) No, f is continuous on [0, 2] but not differentiable on (0, 2). b) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.     c) There is not enough information to verify if this function satisfies the Mean Value Theorem. d) Yes, f is continuous on [0,...
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)...
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 + 3x + 6, [−1, 1] No, f is continuous on [−1, 1] but not differentiable on (−1, 1). There is not enough information to verify if this function satisfies the Mean Value Theorem.     Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is not continuous on [−1, 1].Yes, f is...
Let f be a function for which the first derivative is f ' (x) = 2x...
Let f be a function for which the first derivative is f ' (x) = 2x 2 - 5 / x2 for x > 0, f(1) = 7 and f(5) = 11. Show work for all question. a). Show that f satisfies the hypotheses of the Mean Value Theorem on [1, 5] b)Find the value(s) of c on (1, 5) that satisfyies the conclusion of the Mean Value Theorem.
1aDoes the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)...
1aDoes the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x2 + 3x + 1,    [−1, 1] a.No, f is continuous on [−1, 1] but not differentiable on (−1, 1). b.Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.     c.Yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . d.No, f is not continuous on...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT