Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 12.6, Problem 31PS
To determine
To find: the moment of inertia about the x-axis
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Chapter 12 Solutions
Calculus
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- If the two spheres (x-4)^2+(y-1)^2+z^2=27 and (x-13)^2+(y-10)^2+(z+9)^2=a are externally tangent to each other, what is the value of a?arrow_forwardUse spherical coordinates. Let H be a solid hemisphere of radius 5 whose density at any point is proportional to its distance from the center of the base. (Let K be the constant of proportionality.) (a) Find the mass of H. (b) Find the center of mass of H. (Assume the upper hemisphere of a sphere centered at the origin.) (x, y, z) = ( (c) Find the moment of inertia of H about its axis Iz =arrow_forwardThe intersection of the ellipsoid x² + 4y? + z? = 36 with the plane Z = 3x gives an ellipse C. A) Write a parametrization of this ellipse r(t) for 0st<2n. r(t)= (cost,sint, cos t). B) In order to do the line integral of the function 4 f(x.у,2) 3D 16 + 36 36 over this ellipse one must find the integral of (enter the appropriate number in each term which appears in the integrand) 2n So |sin2t + cos 2t) dt f ds =arrow_forward
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