

2. (10 points) Use a parametrization to find the surface area of the parabolic cap cut from the p...
Find the area of the cap of the sphere x2 + y2 + 2 = 1 cut by the cone z = Vr2 + y2
4. Find the surface area of part of the paraboloid z =x2 + y2 cut of by the plane z = 4.
A surface S described as circular paraboloid x2 + y2-z bounded by plane z-3. a) Find a parametrization for S. b) Find plane tangent to S at (1, 1, 2)
A surface S described as circular paraboloid x2 + y2-z bounded by plane z-3. a) Find a parametrization for S. b) Find plane tangent to S at (1, 1, 2)
2 3/2 16 Find the area of the surface in the first octant cut from the cylinder y= 32 by the planes x = 4 and y = 3 The surface area is (Type an exact answer, using radicals as needed.)
section 16.6
Use a parametrization to find the flux SSFor Fón do across the surface in the given direction. F= - xi – yj + 3z?k outward (normal away from the z-axis) through the portion of the cone z = Vx² + y2 between the planes z = 3 and z = 4. The flux is (Type an exact answer, using a as needed.)
Use a parametrization to set up an integral to find the flux || F.Nds of F(x,y,z)= xyi - zk outward (normal away from z-axis) through the surface of the cone == /r’+y?, 05:51.
Let S be the ‘football’ surface formed by rotating the curve y =
0, x = cos z for z ∈ [−π/2, π/2], around the z-axis. Find a
parametrization for S, and compute its surface area. Please answer
in full With full instructions.
Let S be the 'football, surface formed by rotating the curve y = 0, x-cosz for-E-π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area 3
Let S be the 'football, surface...
A) Find the surface area of the paraboloid when by parameterizing the surface using a polar representation. B) Express the surface area of the paraboloid as a triple integral using the Divergence theorem. C) By choosing an appropriate vector field, use the Divergence Theorem to find the surface area of the paraboloid. -yi z 1-r We were unable to transcribe this image -yi z 1-r
QUESTION 4 Find the surface area of a cylinder with a radius of 3 and a height of 10. The surface area is TT units (Do not use pi in your answer as it is already written with the units above) QUESTION 5 Find the volume of a cone with a radius of 6 and a height of 8. The volume is IT units (Do not use pi in your answer as it is already written with the units above)...
2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2.
2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2.