# Calculus

## Evaluate Z 1 0 Z 5 5y 2e x 2 dx dy

Evaluate Z 1 0 Z 5 5y 2e x 2 dx dy EXPERT ANSWER

## Find volume of the given solid.Bounded by the coordinate planes and the plane 3x + 2y + z =6.This is a double integration problem.

Find volume of the given solid. Bounded by the coordinate planes and the plane 3x + 2y + z =6. This is a double integration problem. EXPERT ANSWER It is supposed to be

## Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral. 5 0 8x + 8 SS S dy dx dz in the order dz dx dy 0 -1 0 5 0 8x + 8 H SS S s dz dx dy = dy dx dz = 0 -1 0 (Simplify your answer.) Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral. 1/16 -x² (16 x² 了了了 dy dz dx to dz dy dx 0 0 T7 TT.II 1 1/16-x² / 16 x² dy dz dx = dz dy dx 0

EXPERT ANSWER The process of changing the order of integration involves rewriting the integral with the new order of variables and adjusting the limits of integration accordingly. The new order of integration should not affect the final result of the integral as long as the limits are properly adjusted

## Use calculus to show that the supply function Q = Ap

Use calculus to show that the supply function Q = Aphas constant elasticity. EXPERT ANSWER The constant elasticity demand function is Q = Ap, where A is a positive constant, is the constantelasticity of demand, the price is raised to thepower, and we are holding income and otherfactors constant. Differentiating this expressionwith respect to price, …