Determine whether Rolle's Theorem applies to the given function on the given interval. If so, fi

Step 1: Check if the function f(x) = cos(5x) satisfies the conditions of Rolle's Theorem on the

Question

Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. f(x) = \cos 5x; \left[\frac{\pi}{10}, \frac{3\pi}{10}\right] Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c = (Type exact answer(s). Use a comma to separate answers as needed.) B. Rolle's Theorem does not apply.

          Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.
f(x) = \cos 5x; \left[\frac{\pi}{10}, \frac{3\pi}{10}\right]
Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c = 
(Type exact answer(s). Use a comma to separate answers as needed.)
B. Rolle's Theorem does not apply.

Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.
f(x) = cos5x; [(π)/(10), (3π)/(10)]
Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c =
(Type exact answer(s). Use a comma to separate answers as needed.)
B. Rolle's Theorem does not apply.

Added by Brianna C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

11/14/2022

Step 1

- The function f(x) = cos(5x) is continuous on the closed interval [(π/10), (3π/10)]. - The function f(x) = cos(5x) is differentiable on the open interval ((π/10), (3π/10)). Show more…

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Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. f(x)=cos5x;[(pi )/(10),(3pi )/(10)] Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c= (Type exact answer(s). Use a comma to separate answers as needed.) B. Rolle's Theorem does not apply. Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. T3T 0L.0L]:x9 502=(x) Select the correct choice and,if necessary,fill in the answer box to complete your choice O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c = Type exact answer(s).Use a comma to separate answers as needed.) OB.Rolle's Theorem does not apply.