Question: 3. Let R be the region below bounded by the parabola y = 4 - x2 and the lines 3x - 2y + 3 =

3. Let R be the region below bounded by the parabola y = 4 - x2 and the lines 3x - 2y + 3 = 0 and y = 0. (0, 4 (a) Set up

a (sum of) definite integral(s) with respect to r that is equal

to the area of R. (1, 3) (b) Set up a definite

3. Let R be the region below bounded by the parabola y = 4 - x2 and the lines 3x - 2y + 3 = 0 and y = 0. (0, 4 (a) Set up a (sum of) definite integral(s) with respect to r that is equal to the area of R. (1, 3) (b) Set up a definite integral that is equal to the arc R length of the portion of the parabola y = 4 - 22 which serves as a boundary of R. (c) Use the WASHER METHOD to set up a (sum of) definite integral(s) that is equal to the volume of the solid generated when R is revolved about the line x = 2. (-2,0) (-1,0)

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