Question

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select...

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)

f(x) = cos x,    [π, 3π]

Yes.

No, because f is not continuous on the closed interval [a, b].

No, because f is not differentiable in the open interval (a, b).

No, because f(a) ≠ f(b).



If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)

c =  

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
Determine whether the Mean Value theorem can be applied to f on the closed interval [a,...
Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 8 − x ,    [−17, 8] Yes, the Mean Value Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open...
Determine whether the Mean Value theorem can be applied to f on the closed interval [a,...
Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f (x) = x7, [0,1] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f ‘(c) = f (b)...
# 12 In Exercises 9–12, determine whether Rolle’s Theorem can be applied to f on the...
# 12 In Exercises 9–12, determine whether Rolle’s Theorem can be applied to f on the closed interval [a, b]. If Rolle’s Theorem can be applied, find all values of c in the open interval (a, b) such that f ′(c) = 0. If Rolle’s Theorem cannot be applied, explain why not. 12. f (x) = sin 2x, [−π, π]
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...
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.) a) f(x)= x^3-x^2-12x+5 , [0,4] b) f(x)= square root/x - 1/7x , [0,49] c) fx)= cos(3x), [pi/12,7pi/12]
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...
Determine whether Rolle’s Theorem can be applied to f on the given interval. If Rolle’s Theorem...
Determine whether Rolle’s Theorem can be applied to f on the given interval. If Rolle’s Theorem can be applied, find all the values of c in the interval (a, b) such that f 0 (c) = 0. If Rolle’s Theorem cannot be applied, explain why. h(x) = x 2 − 2x/ x + 2 on [−1,6]
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...
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 − 24x + 4x2,    [2, 4]
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...
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) = 5 − 18x + 3x^2, [2, 4] c=
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) = 7 − 8x + 2x2,    [1, 3]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT