Calculus 3 :

give me final answer only , no explanation needed.

Section 12.5: Problem 4 (1 point) Evaluate the triple integral r dV where E is the solid bounded by the paraboloid = = 5y* + 52 and I = 5. 7.85Section 12.5: Problem 6 (1 point) Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 4x and the planes z = 0, z = 9 and y = 6. 2754Section 12.5: Problem 9 (1 point) Express the integral / /f(I, 3, =)V as an iterated integral in six different ways. where E is the solid bounded by = = 0, z = By and I" = 16 - y. f(z, y, 2)dadydr a= b= 9 (z) =92(2)= hi (z, y) = hz(z,y) = blue (z,y,a)dedady 0=b= gi (y) =92(3) = hi(z, y) =12(z, y) = 1 Mysl f(z, y, = )didydz 1= b= g1(2) = 92(3)=0 hi(y, =) =h2(y z) =] Jhi(Ma) f(z, y, z)didady 1= b= gi(y) = =()= hi(y, =) = ha(yz)=] of(zy, z)dydada g1 (z) = |92(z) = m(z, =) =ha(z,=)= f(z, y, 2)dydade g(=) = 92(=)=[ hi(z, =) = h1(3,=) =]Section 12.3: Problem 14 (1 point) Convert the integral below to polar coordinates and evaluate the integral. 16- rydx dy Instructions: Please enter the integrand in the first answer box, typing thete for 0. Depending on the order of integration you choose, enter or and dthers in either order into the second and third answer boxes with only one dror dtheta in each box. Then, enter the limits of integration and evaluate the integral to find the volume. A= 0 B = 4 C= D = Volume = 16Section 12.3: Problem 15 (1 point) Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder c' + y' = 4 and bounded above by the plane 2 = c and below by the cy-plane. FIGURE 1 V = 32 3Section 12.5: Problem 3 (1 point) Evaluate the triple integral I'e" dV where E is bounded by the parabolic cylinder z = 9 - y' and the planes = = 0, r = 3, and I = -3. 4374 42" - 7)