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For Problems 1-4, set up (but do not integrate) integrals for evaluating the volumes of the solids formed by the given cross sections. For Problems 3-6, sketch the graphs of the regions before setting up the integrals used for finding the volumes. 1. Base region bounded by y=x², y = 0, and x=1 as shown. 2. Base region bounded by y=-x +x and y = 0 as shown. y 0.5+ a. Squares b. Semicircles c. Rectangles with height 2 a. Squares b. Equilateral triangles c. Rectangles whose heights are half of their bases 4. Base region bounded by y=2-x and y=x a. Squares perpendicular to the х-ахis 3. Base region is the circle x²+y? = 4 a. Squares perpendicular to the у-аxis b. Semicircles perpendicular to the y-axis. b. Right triangles perpendicular to the x-axis. The base of the triangle sits in the region and the height = 3 times the base.

For Problems 1-4, set up (but do not integrate) integrals for evaluating the volumes of the solids formed by the given cross sections. For Problems 3-6, sketch the graphs of the regions before setting up the integrals used for finding the volumes. 1. Base region bounded by y=x², y = 0, and x=1 as shown. 2. Base region bounded by y=-x +x and y = 0 as shown. y 0.5+ a. Squares b. Semicircles c. Rectangles with height 2 a. Squares b. Equilateral triangles c. Rectangles whose heights are half of their bases 4. Base region bounded by y=2-x and y=x a. Squares perpendicular to the х-ахis 3. Base region is the circle x²+y? = 4 a. Squares perpendicular to the у-аxis b. Semicircles perpendicular to the y-axis. b. Right triangles perpendicular to the x-axis. The base of the triangle sits in the region and the height = 3 times the base.

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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For Problems 1-4, set up (but do not integrate) integrals for evaluating the volumes of the solids formed by the given cross sections. For Problems 3-6, sketch the graphs of the regions before setting up the integrals used for finding the volumes. 1. Base region bounded by y=x², 2. Base region bounded by y=-x² +x y = 0, and x=1 as shown. and y=0 as shown. y 0.5+ a. Squares b. Semicircles c. Rectangles with height 2 a. Squares b. Equilateral triangles c. Rectangles whose heights are half of their bases 3. Base region is the circle 4. Base region bounded by y=2-x x'+y =4 a. Squares perpendicular to the у-аxis b. Semicircles perpendicular to the y-axis. and y=x a. Squares perpendicular to the х-ахis b. Right triangles perpendicular to the x-axis. The base of the triangle sits in the region and the height = 3 times the base.
Transcribed Image Text:For Problems 1-4, set up (but do not integrate) integrals for evaluating the volumes of the solids formed by the given cross sections. For Problems 3-6, sketch the graphs of the regions before setting up the integrals used for finding the volumes. 1. Base region bounded by y=x², 2. Base region bounded by y=-x² +x y = 0, and x=1 as shown. and y=0 as shown. y 0.5+ a. Squares b. Semicircles c. Rectangles with height 2 a. Squares b. Equilateral triangles c. Rectangles whose heights are half of their bases 3. Base region is the circle 4. Base region bounded by y=2-x x'+y =4 a. Squares perpendicular to the у-аxis b. Semicircles perpendicular to the y-axis. and y=x a. Squares perpendicular to the х-ахis b. Right triangles perpendicular to the x-axis. The base of the triangle sits in the region and the height = 3 times the base.
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