Question

To determine the surface area of the top part of the sphere x^2+y^2+z^2=4 that is inside...

To determine the surface area of the top part of the sphere x^2+y^2+z^2=4 that is inside the cylinder x^2+y^2=2y.

first, setup the integral for this surface area in polar coordinates.

second, Compute the integral. (be careful when you take the square root.)

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
To determine the surface area of the top part of the sphere ?^2 + ?^2+ ?^2...
To determine the surface area of the top part of the sphere ?^2 + ?^2+ ?^2 = 4 that is inside the cylinder ?^2 + ?^2 = 2?. first, setup the integral for this surface area in polar coordinates. second, Compute the integral. (be careful when you take the square root.)
Use a double integral to find the surface area of the part of the sphere x^2+y^2+z^2=a^2...
Use a double integral to find the surface area of the part of the sphere x^2+y^2+z^2=a^2 inside the circular cylinder x^2+y^2=b^2 wher 0<b<=a.
Consider the sphere x^2 + y^2 + z^2 = 81 determine the double integral, in polar...
Consider the sphere x^2 + y^2 + z^2 = 81 determine the double integral, in polar coordinates, needed to calculate the volume of the sphere. Calculate the integral.
Let S be the surface given by the part of the sphere x^2 +y^2 +z^2 =...
Let S be the surface given by the part of the sphere x^2 +y^2 +z^2 = 4 that lies below the cone z=−sqrt( x^2+y^2) . Give a parametric representation of the surface S and determine the surface area of S
4. Let W be the three dimensional solid inside the sphere x^2 + y^2 + z^2...
4. Let W be the three dimensional solid inside the sphere x^2 + y^2 + z^2 = 1 and bounded by the planes x = y, z = 0 and x = 0 in the first octant. Express ∫∫∫ W z dV in spherical coordinates.
Consider the surface given by the part of the plane z=y+3 that lies inside the cylinder...
Consider the surface given by the part of the plane z=y+3 that lies inside the cylinder x^2+y^2=4 a. Find a parametric representation of the surface b. find the area of the above surface
The domain E of R^3 located inside the sphere x^2 + y^2 + z^2 = 12...
The domain E of R^3 located inside the sphere x^2 + y^2 + z^2 = 12 and above half-cone z = sqrroot(( x^2 + y^2) / 3) (a) Represent the domain E. (b) Calculate the volume of solid E with a triple integral in Cartesian coordinates. (c) Recalculate the volume of solid E using the cylindrical coordinates.
Evaluate the surface integral (x+y+z)dS when S is part of the half-cylinder x^2 +z^2=1, z≥0, that...
Evaluate the surface integral (x+y+z)dS when S is part of the half-cylinder x^2 +z^2=1, z≥0, that lies between the planes y=0 and y=2
Find the surface area of upper part of the sphere of radius a, x2 + y2...
Find the surface area of upper part of the sphere of radius a, x2 + y2 + z2 = a2, cut by the cone z = sqrt(x2 + y2). Show the integral that corresponds to the surface area using spherical coordinates.
Find the surface area of the portion of the sphere z = sqrt(4 - x^2 -...
Find the surface area of the portion of the sphere z = sqrt(4 - x^2 - y^2) that lies between the cylinders x^2 + y^2 = 1 and x^2 + y^2 = 4
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT