Evaluate the integral by changing to spherical coordinates √36x²√72-x² - y² 1 [V 36 + y² xy dz dy dx

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A: The solution is shown in step-2

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A: The given equation is,

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Q: 20. Let g(t) be a differentiable function such that g(2) = 3, g(4) = −2, g'(2) = -1, and g '(4) = 5.…

A: The solution is shown in step-2

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Q: Use the Chain Rule to find dw/dt. dw dt W = = xeylz, x= t³, y=9-t, z=2+5t

A: By using chain rule to find .

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A: Note :-Since you asked multiple questions , according to our policy we can solve only first question…

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A: The given function is

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A: See the details solution in below

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Q: 23. Evaluate the iterated integral. f²f (6x²y - a) (6x²y - 2x) dydx ») ff ² (4x² – x²y³²) dydx

A: Definite Integral

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A: The solution is shown in step-2