Can these please be solved on paper with a step by step explanation

7.) Given the solid bounded by the cylinder x* + y* = 4 and the planes z = 0 and y+z=3, a. Write a triple iterated integral in rectangular coordinates that gives the volume of the solid. b. Write a triple iterated integral in cylindrical coordinates that gives the volume of the solid. . Calculate the volume of the solid using either a. or b. 11.) Determine whether or not F is a conservative vector field. If it is, find a function f such that F = Vf. a. F(x,y)=3x*=2y?) i+ (4xy+3)j b. F(x,y)=(2x-3y)i+(-3x+4y-8)j] 12.) (i) Find a function f'such that F = V{ and (ii) use part (i) to evaluate Ic F - dr along the given curve C. F(x,y)=(1+xy)e i+ x%ej C:r(t)=costi+2sintj 0st