Problem 2. (30pt) Set up (draw an appropriate picture) and evaluate f f f (x, y)dA...

 

 

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Problem 2. (30pt) Set up (draw an appropriate picture) and evaluate f f f (x, y)dA a. f(x, y) = 8 y, R is a region enclosed by the circles with polar coordinates r = cos(e) and r = 3 cos(e). b. f(x, y), R is e region enclosed by the lines y = x, y = 0 and the circle x + y = 1 in the first quadrant. c. f(x, y)=sin(x + y) and R is bounded by y = 0, y = x, x + y = 7, d. f(x, y) = x + y - 4 and R is bounded by x + y < 2x, Problem 2. (30pt) Set up (draw an appropriate picture) and evaluate f f f (x, y)dA a. f(x, y) = 8 y, R is a region enclosed by the circles with polar coordinates r = cos(e) and r = 3 cos(e). b. f(x, y), R is e region enclosed by the lines y = x, y = 0 and the circle x + y = 1 in the first quadrant. c. f(x, y)=sin(x + y) and R is bounded by y = 0, y = x, x + y = 7, d. f(x, y) = x + y - 4 and R is bounded by x + y < 2x,