Consider the function f(x) = 2sin(x²) on the interval 0 ≤ x ≤ 3. (a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum. νπ X = (b) If F(1) = 8, estimate the maximum value attained by F. (Round your answer to three decimal places.**) y 8.991

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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Consider the function f(x) = 2sin(x²) on the interval 0 ≤ x ≤ 3.
(a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum.
νπ
X =
(b) If F(1) = 8, estimate the maximum value attained by F. (Round your answer to three decimal places. **)
y≈ 8.991
Transcribed Image Text:Consider the function f(x) = 2sin(x²) on the interval 0 ≤ x ≤ 3. (a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum. νπ X = (b) If F(1) = 8, estimate the maximum value attained by F. (Round your answer to three decimal places. **) y≈ 8.991
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