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In 4 In 3 ex+y dxdy Evaluate I

In 4 In 3 ex+y dxdy Evaluate I

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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Assignment on Multiple Integrals In 4 In 3 1. Evaluate I = Ss e*+ydxdy 2. Evaluate I = Sl, y?dA, where R is the region bounded by y — 2х, у 3D 5х, х — 2 3. Find the volume V under the plane z = 3x + 4y and over the rectangle R: 1 < x< 2,0 < y < 3 4. Find the volume of the wedge cut from the elliptical cylinder 9x2 + 4y? = 36 by the planes z = 0 and z = y + 3 5. Find the volume cut from 4x² + y² + 4z = 4 by the plane z = 0 V1-x² dydx 6. Use polar coordinates to evaluate I = 7. Use integration in cylindrical coordinates to find the volume of a right circular cone of radius a and height h. 8. Use polar coordinates to evaluate I = V1-x² |x² + y² dydx 3 V9-x2 9. Evaluate the integral I = J; Lar" 2xydydx using rectangular coordinates 3 V9-x² 10. Evaluate the integral I = S Lar 2xydydx using polar coordinates
Transcribed Image Text:Assignment on Multiple Integrals In 4 In 3 1. Evaluate I = Ss e*+ydxdy 2. Evaluate I = Sl, y?dA, where R is the region bounded by y — 2х, у 3D 5х, х — 2 3. Find the volume V under the plane z = 3x + 4y and over the rectangle R: 1 < x< 2,0 < y < 3 4. Find the volume of the wedge cut from the elliptical cylinder 9x2 + 4y? = 36 by the planes z = 0 and z = y + 3 5. Find the volume cut from 4x² + y² + 4z = 4 by the plane z = 0 V1-x² dydx 6. Use polar coordinates to evaluate I = 7. Use integration in cylindrical coordinates to find the volume of a right circular cone of radius a and height h. 8. Use polar coordinates to evaluate I = V1-x² |x² + y² dydx 3 V9-x2 9. Evaluate the integral I = J; Lar" 2xydydx using rectangular coordinates 3 V9-x² 10. Evaluate the integral I = S Lar 2xydydx using polar coordinates
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