Consider the solid under the graph of z = e above the disk x² + y² ≤ a², where a > 0. (a) Set up the integral to find the volume of the solid. Instructions: Please enter the integrand in the first answer box, typing theta for 0. Depending on the order of integration you choose, enter dr and dtheta in either order into the second and third answer boxes with only one dr or dtheta in each box. Then, enter the limits of integration. B [³ fº A с A = 0 2л B: C = 0 D = r || e -x²-y² dr dtheta Volume V = (b) Evaluate the integral and find the volume. Your answer will be in terms of a. π(₁-e-a²) (c) What does the volume approach as a → ∞? lim V = ♫ a →∞

Find the volume of the solid generated by rotating the region under the curve  y=√x  from  x=0  to  x=4  about the  y -axis.

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Shade the area of the region enclosed by, x? + y? s 8Py, x' s 4Py, y 20 by plotting the points of Intersection. Hence, find the area of the enclosed region using integration.