How do I set up (not solve) the integral in spherical coordinates to find the volume by the cylinder 1<= x^2 + y^2 <= 2 and the cone z = sqrt(x^2 + y^2)?
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How do I set up (not solve) the
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- Set up an iterated triple integral that would find the volumeof the solid above z = 2 , and below z = squareroot(10-x2-y2) in cylindrical coordinates and spherical coordinates. do not evaluate.Set up a triple integral in cylindrical coordinates to find the volume of the given solid. Do not evaluate the integralUse a double integral in polar coordinates to find the volume of the solid bounded by the graphs of the equations. Inside the hemisphere z = √ (16 − x2 − y2) and outside the cylinder x2 + y2 = 1
- Find the volume of the solid obtained by rotating the region bounded by y=tan(x)y=tan(x), y=3–√,y=3, and x=0x=0 about the line yy axis. Setup the integral, but do not solve. Can you please show me how to do this problem?Use a double integral in polar coordinates to find the volume of the solid bounded by the graphs of the equations. Inside the hemisphere z = √ (16 − x2 − y2) and inside the cylinder x2 + y2 − 4x = 0Set up 2 integrals using the disk method to find the volume of the solid of revolution rotated around x axis created by the region bounded by y=0, y=9-x^2, and y=X^2+1 in the first quadrant
- Set up 2 integrals using the disk method to find the volume of the solid of revolution created by the region bounded by y=0, y=9-x^2, and y=X^2+1 in the first quadrantSolve the problem.Set up the triple integral for the volume of the sphere q=8 in spherical coordinates.Use triple integrals to find the volume of the solid bounded above by the cylinder z = 4 - 3y2 and bounded below by the elliptic paraboloid z = 4x2 + y2. (Use either rectangular or cylindrical coordinates.)
- Use a double integral to find the volume of the solid bounded by the graphs of the equationsuse a double integral in polar coordinates to find the volume of the solid bounded by the graphs of the equations . z = xy2, x2 + y2 = 9, first octantSet up a triple integral in cylindrical coordinates that could be used to find the volume of hte solid region inside both of the surfaces 4x^2 + 4Y62 + z^2 = 64 and x^2 + y^2 = 4. Sketch this solid region. Do not evaluate the integral.