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Consider the region in the first quadrant under the graph of y = sin(x), 0≤x≤T/2. In each case below, sketch the solid formed when the regio is rotated about the given line. Then set a definite integral that gives the volume of the solid. Use your calculator to evaluate the integral, and round your answer to 3 decimal places. a) The line y = 0. Use the washer method. : b) The line x = π. Use the method of cylindrical shells.

Consider the region in the first quadrant under the graph of y = sin(x), 0≤x≤T/2. In each case below, sketch the solid formed when the regio is rotated about the given line. Then set a definite integral that gives the volume of the solid. Use your calculator to evaluate the integral, and round your answer to 3 decimal places. a) The line y = 0. Use the washer method. : b) The line x = π. Use the method of cylindrical shells.

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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Problem (1) Consider the region in the first quadrant under the graph of y = sin(x), 0≤x≤ π/2. In each case below, sketch the solid formed when the regio is rotated about the given line. Then set u a definite integral that gives the volume of the solid. Use your calculator to evaluate the integral, and round your answer to 3 decimal places. a) The line y = 0. Use the washer method. b) The line x = π. Use the method of cylindrical shells.
Transcribed Image Text:Problem (1) Consider the region in the first quadrant under the graph of y = sin(x), 0≤x≤ π/2. In each case below, sketch the solid formed when the regio is rotated about the given line. Then set u a definite integral that gives the volume of the solid. Use your calculator to evaluate the integral, and round your answer to 3 decimal places. a) The line y = 0. Use the washer method. b) The line x = π. Use the method of cylindrical shells.
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