1. The graph of f is shown to the right. The function F(x) is defined by F(x) = f(t) dt for 0 ≤ a ≤ 4. (And note that F and f are different symbols, and they refer to different functions.) (a) Find F(0) and F(3). (b) Find F'(1). (Yes, F'(1) does exist.) (c) For what value of a does F(x) have its maximum value? What is this maximum value? f(t) 3 2 A 1 0 12 2 3₁ I I 1 t
1. The graph of f is shown to the right. The function F(x) is defined by F(x) = f(t) dt for 0 ≤ a ≤ 4. (And note that F and f are different symbols, and they refer to different functions.) (a) Find F(0) and F(3). (b) Find F'(1). (Yes, F'(1) does exist.) (c) For what value of a does F(x) have its maximum value? What is this maximum value? f(t) 3 2 A 1 0 12 2 3₁ I I 1 t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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