2) Change the order of integration for the triple integral (x² + In(y) + z)dx dy dz so that you are integrating with respect first to z, then x, then y. You do not need to evaluate the integral.

Explain the difference between the average rate of change of y as x changes a to b, and the instantaneous rate of change of y at x=a

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.

/(2x+y-1)dxdy where area of integration D is a triangle with vertices A(1,1), B(5,3) C(5,5). Find After performing the calculations, swap the order of integration and count the integral again.