1) Evaluate the following integral by reversing the order of integration: dx dy.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1) Evaluate the following integral by reversing the order of integration:
c2
dx dy.
Transcribed Image Text:1) Evaluate the following integral by reversing the order of integration: c2 dx dy.
Optional challenge problem: Use a Riemann sum to estimate the volume of the solid below z =
16-a2-y? in the first octant. Use polar coordinates and divide the interval for r into 3 sub-intervals
and the interval for 0 into two intervals. Use midpoints. Draw a picture showing the six sub-solids
you found the volume of.
Transcribed Image Text:Optional challenge problem: Use a Riemann sum to estimate the volume of the solid below z = 16-a2-y? in the first octant. Use polar coordinates and divide the interval for r into 3 sub-intervals and the interval for 0 into two intervals. Use midpoints. Draw a picture showing the six sub-solids you found the volume of.
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