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* Evaluate by converting to polar coördinates. 2. 4-x² - dA R given by x² + y² ≤ 4 with x ≥ 0

* Evaluate by converting to polar coördinates. 2. 4-x² - dA R given by x² + y² ≤ 4 with x ≥ 0

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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* Evaluate. 1. (xy²) da R is enclosed by x=√1-y² and x = 0 R * Evaluate by converting to polar coördinates. 2. ff (√4x² - y²) da R given by x² + y² ≤ 4 with x ≥ 0 R * Evaluate by converting to cylindrical coördinates. 3. The volume of the solid enclosed by z = = 36 - 3x² - 3y² and z = x² + y² * Evaluate by converting to spherical coördinates. 4. The volume of the solid in the first octant bounded by x² + y² + z² = 4,0 = ¹
Transcribed Image Text:* Evaluate. 1. (xy²) da R is enclosed by x=√1-y² and x = 0 R * Evaluate by converting to polar coördinates. 2. ff (√4x² - y²) da R given by x² + y² ≤ 4 with x ≥ 0 R * Evaluate by converting to cylindrical coördinates. 3. The volume of the solid enclosed by z = = 36 - 3x² - 3y² and z = x² + y² * Evaluate by converting to spherical coördinates. 4. The volume of the solid in the first octant bounded by x² + y² + z² = 4,0 = ¹
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