Question

7. What is the surface area of the paraboloid parametrized in problem 5(b)? (The paraboloid from...

7. What is the surface area of the paraboloid parametrized in problem 5(b)?

(The paraboloid from problem 5(b) is z = 4 - x^2 - y^2 which lies above the xy-plane)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the area of the surface. The part of the paraboloid z=1-x^2-y^2 that lies above the...
Find the area of the surface. The part of the paraboloid z=1-x^2-y^2 that lies above the plane z=-2 (Please post hand writing one) thank you
Find the area of the surface The part of the parabloid z=4-x^2-y^2 that lies above the...
Find the area of the surface The part of the parabloid z=4-x^2-y^2 that lies above the xy-plane
Consider the part of the paraboloid x = 4 − y ^2 − z ^2 that...
Consider the part of the paraboloid x = 4 − y ^2 − z ^2 that lies in front of the plane x = 0. (a) What is its mass if its density is ρ(x, y, z) = y^2 + z ^2 g/cm^2 ? (b) What is its surface area?
In the following problems, the surface S is the part of the paraboloid z= x^2 +...
In the following problems, the surface S is the part of the paraboloid z= x^2 + y^2 which lies below the plane z= 4, and includes the circular intersection with this plane. This single surface S could also be described as being contained inside the cylinder x^2+y^2= 4. (a) Iterate, but do not evaluate, the integral ∫∫S(z+x) dS in terms of two parameters. Write the integrand in simplest form. (b) Use Stoke’s theorem to rewrite ∫S(delta X F) · ndS...
Find the volume of the solid that lies under the paraboloid z = x^2 + y^2...
Find the volume of the solid that lies under the paraboloid z = x^2 + y^2 , above the xy-plane and inside the cylinder x^2 + y^2 = 1.
Evaluate the surface integral. 5. " S x 2 z dσ; S that part of the...
Evaluate the surface integral. 5. " S x 2 z dσ; S that part of the cylinder x 2 + z 2 = 1 which lies between the planes y = 0 and y = 2, and is above the xy-plane.
Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the...
Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the surface S is the part of the paraboloid : z = 4- x^2 - y^2 that lies above the xy-plane. Assume C is oriented counterclockwise when viewed from above.
(1 point) Consider the paraboloid z=x2+y2. The plane 5x−3y+z−3=0 cuts the paraboloid, its intersection being a...
(1 point) Consider the paraboloid z=x2+y2. The plane 5x−3y+z−3=0 cuts the paraboloid, its intersection being a curve. Find "the natural" parametrization of this curve. Hint: The curve which is cut lies above a circle in the xy-plane which you should parametrize as a function of the variable t so that the circle is traversed counterclockwise exactly once as t goes from 0 to 2*pi, and the paramterization starts at the point on the circle with largest x coordinate. Using that...
1. Consider x=h(y,z) as a parametrized surface in the natural way. Write the equation of the...
1. Consider x=h(y,z) as a parametrized surface in the natural way. Write the equation of the tangent plane to the surface at the point (5,3,−4) given that ∂h/∂y(3,−4)=1 and ∂h/∂z(3,−4)=0. 2. Find the equation of the tangent plane to the surface z=0y^2−9x^2 at the point (3,−1,−81). z=?
evaluate area of curved surface paraboloid z=9-x^2-y^2 in the first octant using surface integral
evaluate area of curved surface paraboloid z=9-x^2-y^2 in the first octant using surface integral