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Q: Find the mass of the planet where: 3 1, 47².

A: Consider the given equation: Where,

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A:

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A: Integrate by substitutions

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A: Inverse of function y= f(X) is defined as the  X = f-1 (y)

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A: Remove parentheses.  Since    is constant with respect to   , move    out of the integral.  Let…

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A: The solution is given as

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A: Here, U(r)=1rln(axr+byr)

Q: 3) f(x) =9x/チxー3 %3D

A:

Q: TO Area under g (x(x+W)

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Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

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A: The derivative of a real valued function interprets the rate of changing of the function. It has a…

Q: Dy/dx if xy= sqrt5 -4x^3 +1/x

A:

Q: y y' + (2х + 3у) = 0 y(x) = ? =>

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Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

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A: Since you have asked multiple questions in a single request, as per policy, only the first question…

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A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product…

Q: Can i get help step by step please?

A:

Q: Find y' if y = In(7x² + 3y²). y' =

A:

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A: To find: ∫x3+3x2+1x4-1dx

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A:

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A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

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A: Topic  - differentiation by parts

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Q: Find the area under the curve  y= (2x2 - 7) / (sqrt(x)) ,   16 <= x <= 20

A: