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For problems 3-9 compute the given double integral over the indicated rectangle. 3. f8x' -4dA R=l-3,-1]×[0,4] R=[1,2]×[1,4] 4. 4y sec' ( (x)+ R=[0.4]<[1.5] 6. [[y' -x'e' dA R=[-1,2]×[-3,3] R=|-1,0]x[0,4] 7. 8. f xe" -12x' sin(zy)dA R=(-2,0]×[.1]) • ff rcos(4y + 3r)d4 9.

For problems 3-9 compute the given double integral over the indicated rectangle. 3. f8x' -4dA R=l-3,-1]×[0,4] R=[1,2]×[1,4] 4. 4y sec' ( (x)+ R=[0.4]<[1.5] 6. [[y' -x'e' dA R=[-1,2]×[-3,3] R=|-1,0]x[0,4] 7. 8. f xe" -12x' sin(zy)dA R=(-2,0]×[.1]) • ff rcos(4y + 3r)d4 9.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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Section 3-2: Iterated Integrals 1. Compute the following double integral over the indicated rectangle (a) by integrating with respect to x first and (b) by integrating with respect to y first. ſ 16xy -9x' +1d4 R=[2,3]×[-1,1] 2. Compute the following double integral over the indicated rectangle (a) by integrating with respect to x first and (b) by integrating with respect to y first. f cos (x)sin(y)dA R=[+4][+4] For problems 3-9 compute the given double integral over the indicated rectangle. 3. [8x' -4 dA R=|-3,-1]x[0.4] 15y R=[1,2]x[1,4] 4. || 4y sec ( (x), R=[0.4] [1,5] 5. 5-x'e' d4 R=[-1,2]x[-3,3] 6. R=[-1,0]x[0,4] 1+x 8. f xe" -12r' sin(zy)dA R=[-2,0]x[t.] 9. [f xcos (4y + 3x )dA
Transcribed Image Text:Section 3-2: Iterated Integrals 1. Compute the following double integral over the indicated rectangle (a) by integrating with respect to x first and (b) by integrating with respect to y first. ſ 16xy -9x' +1d4 R=[2,3]×[-1,1] 2. Compute the following double integral over the indicated rectangle (a) by integrating with respect to x first and (b) by integrating with respect to y first. f cos (x)sin(y)dA R=[+4][+4] For problems 3-9 compute the given double integral over the indicated rectangle. 3. [8x' -4 dA R=|-3,-1]x[0.4] 15y R=[1,2]x[1,4] 4. || 4y sec ( (x), R=[0.4] [1,5] 5. 5-x'e' d4 R=[-1,2]x[-3,3] 6. R=[-1,0]x[0,4] 1+x 8. f xe" -12r' sin(zy)dA R=[-2,0]x[t.] 9. [f xcos (4y + 3x )dA
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