Calculus 3 :

give me final answer only , no explanation needed

Section 12.6: Problem 9 (1 point) Find an equation for the plane y = 1x in cylindrical coordinates. (Type theta for $ in your answer.) equation: tanSection 12.7: Problem 8 (1 point) e (2'ty +2) Use spherical coordinates to evaluate the triple integral dV, where E is the region bounded by the spheres x? + y' + 2 = 4 and x + 7 + 2 = 16. VI' +y'+ 2Section 12.7: Problem 9 (1 point) Suppose the solid IV in the figure is a cone centered about the positive z-axis with its vertex at the origin, a 90" angle at its vertex, and topped by a sphere radius 7. Find the limits of integration for an iterated integral of the form 3.50 A = 1.75 B = 2.6.039-2.46 0 0 2.46 Y C = D= E = F = If necessary, enter pas rho, @ as phi, and 0 as theta.Section 12.7: Problem 10 (1 point) Suppose the solid IT in the figure consists of the points below the xy-plane that are between concentric spheres centered at the origin of radii 4 and 6. Find the limits of integration for an iterated integral of the form A= B = Z C = D = E = F = 0.7-90 If necessary, enter pas rho, oas phi, and 0 as theta. 3.03 XSection 12.7: Problem 11 (1 point) Find the volume of the solid that lies within the sphere c' + y' + 2" = 36, above the xy plane, and outside the cone 2 = 4v x- + 72.Section 12.7: Problem 12 (1 point) Find an equation for the paraboloid & = a? + y' in spherical coordinates. (Enter rho, phi and theta for p, o and d, respectively.) equation:Section 12.7: Problem 13 (1 point) The region W is the cone shown below. The angle at the vertex is 7/2, and the top is flat and at a height of 4. Write the limits of integration for w dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a =. b =0 and f = Volume - MeTO (b) Cylindrical: With a = =0 and f = Volume - MOO (c) Spherical: With a =.b=0 Volume = memoSection 12.7: Problem 14 (1 point) Evaluate the integral. 16 -T 16-F (x3 + 3 + 23)1/2 dy de dr = 16 16 -2