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Let f(x) = ex³-3x² The function has two critical points at x=0 and x=2. (a) Use the second derivative test to classify each critical point as local max or local min. (b) Find the global maximum value M and the global minimum value m of the function f(x) on the interval ï € [1,3]. 3 3 [² f(x) dx = Lee dx. Use your result from part (b) to find an underestimate and overestimate for the integral. (c) Consider the definite integral (d) Find the left sum using n=2, i.e., LEFT(2), for the integral 3 3 Le 1 ex³-3x² f(x) dx 1 Round your answer to two decimal places. x³–3x² dx. Enter this value in the blank below.

Let f(x) = ex³-3x² The function has two critical points at x=0 and x=2. (a) Use the second derivative test to classify each critical point as local max or local min. (b) Find the global maximum value M and the global minimum value m of the function f(x) on the interval ï € [1,3]. 3 3 [² f(x) dx = Lee dx. Use your result from part (b) to find an underestimate and overestimate for the integral. (c) Consider the definite integral (d) Find the left sum using n=2, i.e., LEFT(2), for the integral 3 3 Le 1 ex³-3x² f(x) dx 1 Round your answer to two decimal places. x³–3x² dx. Enter this value in the blank below.

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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Let f(x) . The function has two critical points at x=0 and x=2. (a) Use the second derivative test to classify each critical point as local max or local min. = ex³–3x² (b) Find the global maximum value M and the global minimum value m of the function f(x) on the interval ¤ € [1,3]. E 3 [³1 1 (c) Consider the definite integral dx. Use 1 your result from part (b) to find an underestimate and overestimate for the integral. f(x) dx = 3 (d) Find the left sum using n=2, i.e., LEFT(2), for the integral c3 ·3 [₁ ₁²e²¹ f(x) dx = е 1 1 Round your answer to two decimal places. x³–3x² X3 -3x² dx. Enter this value in the blank below.
Transcribed Image Text:Let f(x) . The function has two critical points at x=0 and x=2. (a) Use the second derivative test to classify each critical point as local max or local min. = ex³–3x² (b) Find the global maximum value M and the global minimum value m of the function f(x) on the interval ¤ € [1,3]. E 3 [³1 1 (c) Consider the definite integral dx. Use 1 your result from part (b) to find an underestimate and overestimate for the integral. f(x) dx = 3 (d) Find the left sum using n=2, i.e., LEFT(2), for the integral c3 ·3 [₁ ₁²e²¹ f(x) dx = е 1 1 Round your answer to two decimal places. x³–3x² X3 -3x² dx. Enter this value in the blank below.
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