Show transcribed image text 8, (Volume) Consider a function f : D → R of two variables where D is a re- gion in plane described by two inequalities gi(x) 3y S 92(x) Assume f(ax, y) 2 0 for all (x, y) in D, and let E be the solid below the graph of f(x, y) and above D. (a) Write a double iterated integral expressing the volume of E. (b) Write a triple iterated integral expressing the volume of E (c) Let ρ(z, y, z) be a mass density function defined on E. Find a triple integral expressing the total mass of E. (A mass density function ρ(x, y, z) measures the mass per unit volume at (x, y, z)).
8, (Volume) Consider a function f : D → R of two variables where D is a re- gion in plane described by two inequalities gi(x) 3y S 92(x) Assume f(ax, y) 2 0 for all (x, y) in D, and let E be the solid below the graph of f(x, y) and above D. (a) Write a double iterated integral expressing the volume of E. (b) Write a triple iterated integral expressing the volume of E (c) Let ρ(z, y, z) be a mass density function defined on E. Find a triple integral expressing the total mass of E. (A mass density function ρ(x, y, z) measures the mass per unit volume at (x, y, z)).