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(a) Find the volume V inside the cylinder x 2. +y" = = 16, cut off above and below by a hyperboloid of 2 sheets 2 = = x² + y²+49. Evaluate the volume V using polar coordinates .b V = = s = La² L² f dr de. Enter the limits of the double integral, separated by a comma, a, b, c, d = 0,2*Pi,0,4 Enter the integrand f=2*r*sqrt(r^2+49) The volume V = (b) Calculate the volume V bounded by the planes z = 12 - 2x - 3y and z = (12-2x-3y) in the first octant i.e., x 0, y≥ 0, z ≥ 0, The volume V =

(a) Find the volume V inside the cylinder x 2. +y" = = 16, cut off above and below by a hyperboloid of 2 sheets 2 = = x² + y²+49. Evaluate the volume V using polar coordinates .b V = = s = La² L² f dr de. Enter the limits of the double integral, separated by a comma, a, b, c, d = 0,2*Pi,0,4 Enter the integrand f=2*r*sqrt(r^2+49) The volume V = (b) Calculate the volume V bounded by the planes z = 12 - 2x - 3y and z = (12-2x-3y) in the first octant i.e., x 0, y≥ 0, z ≥ 0, The volume V =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find the volume V inside the cylinder x 2. +y" = = 16, cut off above and below by a hyperboloid of 2 sheets 2 = = x² + y²+49. Evaluate the volume V using polar coordinates .b V = = s = La² L² f dr de. Enter the limits of the double integral, separated by a comma, a, b, c, d = 0,2*Pi,0,4 Enter the integrand f=2*r*sqrt(r^2+49) The volume V = (b) Calculate the volume V bounded by the planes z = 12 - 2x - 3y and z = (12-2x-3y) in the first octant i.e., x 0, y≥ 0, z ≥ 0, The volume V =
Transcribed Image Text:(a) Find the volume V inside the cylinder x 2. +y" = = 16, cut off above and below by a hyperboloid of 2 sheets 2 = = x² + y²+49. Evaluate the volume V using polar coordinates .b V = = s = La² L² f dr de. Enter the limits of the double integral, separated by a comma, a, b, c, d = 0,2*Pi,0,4 Enter the integrand f=2*r*sqrt(r^2+49) The volume V = (b) Calculate the volume V bounded by the planes z = 12 - 2x - 3y and z = (12-2x-3y) in the first octant i.e., x 0, y≥ 0, z ≥ 0, The volume V =
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