1. (a) 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} Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use the Midpoint Rule to estimate the volume of the solid in part (a).

1. (a) 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} Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use the Midpoint Rule to estimate the volume of the solid in part (a).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 1YT: YOUR TURN Find the volume of the solid of revolution formed by rotating about the x-axis the region...

See similar textbooks