Consider the graph of the continuous function f in the figure and let Assume the graph consists

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Consider the graph of the continuous function f in the figure and let= | ()di. f(t) dt and G(x) F(x) = |

Assume the graph consists of a line segment from (0, -2) to (2, 2) and two quarter circles of radius 2.

y = f(t) + -2 3 -1 4-

a. Evaluate F(2), F(-2), and F(4).

b. Evaluate G(-2), G(0), and G(4).

c. Explain why there is a constant C such that F(x) = G(x) + C, for -2 ≤ x ≤ 4. Fill in the blank with a number: F(x) = G(x) + _____, for -2 ≤ x ≤ 4.

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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