Homework8: Problem 5 Previous Problem Problem List Next Problem (2 points) Write a triple integral including limits of i

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Homework8 Problem 5 Previous Problem Problem List Next Problem 2 Points Write A Triple Integral Including Limits Of I 1 (62.11 KiB) Viewed 63 times

Homework8 Problem 5 Previous Problem Problem List Next Problem 2 Points Write A Triple Integral Including Limits Of I 2 (57.32 KiB) Viewed 63 times

Homework8: Problem 5 Previous Problem Problem List Next Problem (2 points) Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x² + y² + z² ≤ 20 cut off by the plane z = 2 and restricted to the first octant. (In your integral, use theta, rho, and phi for 0, p and , as needed.) What coordinates are you using? (Enter cartesian, cylindrical, or spherical.) With a = b = C = d = e = and f = Volume = Så få fé d d d Note: You can earn partial credit on this problem. Preview My Answers Submit Answers

Homework8: Problem 3 Previous Problem Problem List Next Problem (2 points) Suppose f(x, y, z) = x² + y² + z² and W is the solid cylinder with height 5 and base radius 2 that is centered about the z-axis with its base at z = -2. Enter 0 as theta. (a) As an iterated integral, B D F I s av = 1, "[" [" f dz dr de W with limits of integration A = B = C = D= E = F = (b) Evaluate the integral.

(2 points) The region W is the cone shown below. The angle at the vertex is л/3, and the top is flat and at a height of 4√//3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = b = C = d = e = and f = Volume= d d (b) Cylindrical: With a = C = .b = d = and f- d S to ge one ques de all rel- an image is difficul

The angle at the vertex is л/3, and the top is flat and at a height of 4√3. Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = b = C = d = e = and f = Volume = d d (b) Cylindrical: With a = C = e = Volume= d d (c) Spherical: With a = C = e = Volume = = S² s² s² d d = Så få fő .b = d = and f = ,b= d = and f = d d d

Homework8: Problem 2 Previous Problem Problem List Next Problem (1 point) Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will involve variables x, y, z) so that uy uz ux COL dx dz dy represents the volume of the region in the first octant that is inside the paraboloid y = x² + z² and between the planes y = 3 and y = 10. lx = UX = Iz = uz = ly = uy = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email WebWork TA