Installation Art in a children's park with works by Dr Seuss and M.C. Escher as inspiration (Figure 2).

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Installation Art in a children's park with works by Dr Seuss and M.C. Escher as inspiration (Figure 2).
Installation Art in a children’s park with works by Dr Seuss and M.C. Escher as inspiration (Figure 2).
The Cat (Figure 2–left) is to hold in its hand a solid B with a mirror–like reflecting surface (Figure 2 –right), where B is part paraboloid and part sphere.
d) Find the intersection of the paraboloid z=x2+y2 and the sphere x2+y2+z2=2.
e) Sketch the solid B that lies between the paraboloid z=x2+y2 and the sphere x2+y2+z2=2.
f) Find the volume of B using
i. Cylindrical coordinates
ii. Spherical coordinates
iii. Use Matlab to check your answer to parts i and ii.
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trytry 2025-01-19T10:59:39+05:00 2 Answers 22 views Beginner
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MathJax Example

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  1. Mechanical Engineering Expert
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    2025-01-19T11:27:52+05:00
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  2. Mechanical Engineering Expert
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    2025-01-19T11:41:42+05:00
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    /* Your code... */
    % Spherical coordinates volume
    f = @(rho, phi, theta) rho.^2 .* sin(phi); % Integrand
    volume_spherical = integral3(@(rho, phi, theta) f(rho, phi, theta), 0, sqrt(2), 0, pi/4, 0, 2*pi);
    disp([‘Volume in spherical coordinates: ‘, num2str(volume_spherical)]);

     

  3. MathJax Example

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