8.) Compute the following integrals. dz, C={2|2|=3} a.) for 22 + 4 + 4 dz, b.) fo 1 z² sin(z) dz, C= {z2|= 1}

5. Prove that the equation has no solution in an ordered integral domain.

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.

Assume x and y are functions of t. Evaluate dydtfor each of the following. 2xy5x+3y3=51; dxdt=6,x=3,y=2