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The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 16x². Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.) Use the formula v=[ A(y) dy V

The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 16x². Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.) Use the formula v=[ A(y) dy V

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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y=f(x) cross-section y=g(x) base view The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 16x². Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.) Use the formula b V To A(y) dy to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b = The sides of the square cross-section is the following function of y: A(y)= Thus the volume of the solid is V = = JI = ←I FI A
Transcribed Image Text:y=f(x) cross-section y=g(x) base view The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 16x². Cross-sections perpendicular to the y-axis are squares. (See picture above, click for a better view.) Use the formula b V To A(y) dy to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b = The sides of the square cross-section is the following function of y: A(y)= Thus the volume of the solid is V = = JI = ←I FI A
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