3. FIND THE VOLUME OF THE REGION DEY≤ 2² y REVOLVED AROUND X-AXIS & Y-AXIS (FOR X20) (X>0)
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- 1) Consider the region in the xy-plane that is bounded by y = 3 x^2 and y=3x for x ≥ 0. Revolve this region about the y-axis Super quickly so that your eyes glaze over and it eventually looks like a solid object at one point. What would the volume of this solid be? Make sure to include every step.1. Estimate the volume of the solid that lies below the surface z = xy and above the rectangle R = {(x,y) | 0 ≤ x ≤ 6, 0 ≤ y ≤ 4}.(a) using Riemann sum with m = 3, n = 2, and take the sample point to be the upper the right corner of each square(b) using midpoint rule with the same values of m and n in problem (a).Find the area between y = (3 + x2)e2x and the x-axis from x = 0 to x = 1.