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@[² (d) √x-x (x² + y²)³/2 dy dx.

@[² (d) √x-x (x² + y²)³/2 dy dx.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.5: Polar Coordinates
Problem 86PS
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Solve d part only in 30 min
Problem 8.2. Each part of this problem contains a double integral. In each case, you should first convert to polar coordinates. Next, use the polarRegion program from Our plot the (shaded) region over which the integral extends. Finally, compute the value of the integral. (a) ffx²y²dA, where R is the inside of the cardioid r = 2(1 + sin 0). (b) ff cos(x² + y²) dA, where R is defined by 0 ≤ 0 ≤/2 and 0 ≤ ≤ sin²0. -3 √9-x² (c) › ³²³** (x² + y²) dy dx. SA SO (d) [+ (x² + y²)³/2 dy dx.
Transcribed Image Text:Problem 8.2. Each part of this problem contains a double integral. In each case, you should first convert to polar coordinates. Next, use the polarRegion program from Our plot the (shaded) region over which the integral extends. Finally, compute the value of the integral. (a) ffx²y²dA, where R is the inside of the cardioid r = 2(1 + sin 0). (b) ff cos(x² + y²) dA, where R is defined by 0 ≤ 0 ≤/2 and 0 ≤ ≤ sin²0. -3 √9-x² (c) › ³²³** (x² + y²) dy dx. SA SO (d) [+ (x² + y²)³/2 dy dx.
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