Question

x2    + (z-1)2      =1 ; y=1 ; y+z=4 Calculate the volume of the closed body...

x2    + (z-1)2      =1 ; y=1 ; y+z=4 Calculate the volume of the closed body formed by its surfaces with a two-fold polar integral

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 volume of the region bounded by the surfaces y^2 + z^2 = 4 and...
Find the volume of the region bounded by the surfaces y^2 + z^2 = 4 and (x − 1)^2 = y^2 + z^2 + 2.
Find the integral that represents: The volume of the solid under the cone z = sqrt(x^2...
Find the integral that represents: The volume of the solid under the cone z = sqrt(x^2 + y^2) and over the ring 4 ≤ x^2 + y^2 ≤ 25 The volume of the solid under the plane 6x + 4y + z = 12 and on the disk with boundary x2 + y2 = y. The area of ​​the smallest region, enclosed by the spiral rθ = 1, the circles r = 1 and r = 3 & the polar...
Find the volume of the region below the paraboloid z = 2 + x2 + (y...
Find the volume of the region below the paraboloid z = 2 + x2 + (y – 2)2 and above the hyperbolic paraboloid z = xy over the rectangle R = [–1, 1] ´ [1, 4].
Consider Z 4 0 Z √ 6x−x2 √ 4x−x2 y dydx + Z 6 4 Z...
Consider Z 4 0 Z √ 6x−x2 √ 4x−x2 y dydx + Z 6 4 Z √ 6x−x2 0 y dydx (a) [3 pts.] Sketch the region of integration. (b) [7 pts.] Evaluate the integral. You may need to change the coordinate system
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.
Find the volume under the hyperboloid z = (1 + x2 + y2)1/2 and over the...
Find the volume under the hyperboloid z = (1 + x2 + y2)1/2 and over the unit disk x2 + y2less than or equal to 1. Use a double integral in a suitable coordinate system.
Let S1: x^2+y^2=4 and S2: z=−√(x^2+y^2) be two surfaces in space. (a) [2] Graph these two...
Let S1: x^2+y^2=4 and S2: z=−√(x^2+y^2) be two surfaces in space. (a) [2] Graph these two surfaces. (b) [4] Find equations of S1 and S2 in spherical coordinate system . (c) [4] Find the intersection of S1 and S2 in this (spherical) coordinate system. (d) [5] SET UP but DO NOT EVALUATE the triple integral in spherical coordinate system to evaluate the volume which is above the xy -plane, outside of S1 and inside of S2 . (Bonus) [2] Can...
Calculate the z-coordinate of the masscenter of the body bounded by the paraboloid z=x2+y2 and the...
Calculate the z-coordinate of the masscenter of the body bounded by the paraboloid z=x2+y2 and the cone z=2-sqrt(x2+y2).
when cylinder x^2+y^2=1, y^2+z^1=1 and x^2+z^1=1 intercept with each other, set up a triple integral to...
when cylinder x^2+y^2=1, y^2+z^1=1 and x^2+z^1=1 intercept with each other, set up a triple integral to calculate the volume of the interception. (Dont have to evaluate the integral, but just set it up.)
Consider the sum of double integrals Z1 1/√2Zx √1−x2 xy dy dx +Z√2 1 Zx 0...
Consider the sum of double integrals Z1 1/√2Zx √1−x2 xy dy dx +Z√2 1 Zx 0 xy dy dx +Z2 √2Z√4−x2 0 xy dy dx . a. [4] Combine into one integral and describe the domain of integration in terms of polar coordinates. Give the range for the radius r. b. [4] Compute the integral.