(a) Explanation Given information: Area under the graph of f from 0 to t is A ( t ) = t 3 for all t > 0 . Calculation: Show the Equation of the area under the graph as follows. ∫ 0 t A ( t ) d t = t 3 (1) Apply the Fundamental Theorem of Calculus, Part 1 as follows. If f is continuous on [ a , b ] , then the function g is defined by g ( x ) = ∫ a x f ( t ) d t a ≤ x ≤ b Function g is continuous on [ a , b ] and differentiable on ( a , b ) , and g ′ ( x ) = f ( x ) (b) To determine To find: The function f .

Bundle: Calculus: Early Transcendentals, 8th + WebAssign Printed Access Card for Stewart's Calculus: Early Transcendentals, 8th Edition, Multi-Term

8th Edition

ISBN: 9781305597624

Author: James Stewart

Publisher: Cengage Learning

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Chapter 6, Problem 1P

(a)

To determine

To find: The positive continuous function f.

(b)

To determine

To find: The function f.

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Chapter 6, Problem 34RE

Chapter 6, Problem 2P

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Chapter 6 Solutions

Bundle: Calculus: Early Transcendentals, 8th + WebAssign Printed Access Card for Stewart's Calculus: Early Transcendentals, 8th Edition, Multi-Term

Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Sketch the region enclosed by the given curves....Ch. 6.1 - Sketch the region enclosed by the given curves....Ch. 6.1 - Sketch the region enclosed by the given curves....Ch. 6.1 - Sketch the region enclosed by the given curves....Ch. 6.1 - Sketch the region enclosed by the given curves....Ch. 6.1 - Sketch the region enclosed by the given curves....

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The positive continuous function f .

Solution Summary: The author explains how to find the positive continuous function f, which is underset_3t2.