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57. a. Use polar coordinates to compute the (double integral (sub R)?? x dA, R x2...

57.

a. Use polar coordinates to compute the (double integral (sub R)?? x dA, R x2 + y2) where R is the region in the first quadrant between the circles x2 + y2 = 1 and x2 + y2 = 2.

b. Set up but do not evaluate a double integral for the mass of the lamina D={(x,y):1≤x≤3, 1≤y≤x3} with density function ρ(x, y) = 1 + x2 + y2.

c. Compute??? the (triple integral of ez/ydV), where E= {(x,y,z): 0≤y≤1, y≤x≤1, 0≤z≤xy}.

Math   Calculus   
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