Evaluate the double integral (32 (3x-y) dA, where R is the region in the first quadrant enclosed by the circle ² + y² = 9 and the lines z = 0 and y=z, by changing to polar coordinates. Answer: Evaluate the double integral ¹0 Answer: 10ay dA, where D is the triangular region with vertices (0,0), (1, 2), and (0, 3).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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Question
Evaluate the double integral
(32
(3x-y) dA, where R is the region in the first quadrant enclosed by the circle ² + y² = 9 and the lines
z = 0 and y=z, by changing to polar coordinates.
Answer:
Evaluate the double integral
Answer:
ff₁¹0
10ay dA, where D is the triangular region with vertices (0,0), (1, 2), and (0, 3).
Transcribed Image Text:Evaluate the double integral (32 (3x-y) dA, where R is the region in the first quadrant enclosed by the circle ² + y² = 9 and the lines z = 0 and y=z, by changing to polar coordinates. Answer: Evaluate the double integral Answer: ff₁¹0 10ay dA, where D is the triangular region with vertices (0,0), (1, 2), and (0, 3).
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