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QUESTION 3 a) Given the double integral [[√x+1 Vx +1 dxdy . NKI i) Sketch the region of integration. ii) Evaluate the integral by reversing the order of integration.

QUESTION 3 a) Given the double integral [[√x+1 Vx +1 dxdy . NKI i) Sketch the region of integration. ii) Evaluate the integral by reversing the order of integration.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 3 a) Given the double integral /x +1 dxdy . i) Sketch the region of integration. ii) Evaluate the integral by reversing the order of integration. b) A constant density planar lamina is bounded by a circle x² + y² =9, the line x + y = 0 and the y-axis as in Figure 1. Determine the center of mass (x,y), given the mass is 9π 8 x² + y² = 9 + x+y=0 -2 Figure 1
Transcribed Image Text:QUESTION 3 a) Given the double integral /x +1 dxdy . i) Sketch the region of integration. ii) Evaluate the integral by reversing the order of integration. b) A constant density planar lamina is bounded by a circle x² + y² =9, the line x + y = 0 and the y-axis as in Figure 1. Determine the center of mass (x,y), given the mass is 9π 8 x² + y² = 9 + x+y=0 -2 Figure 1
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