Verify Green's Theorem by evaluating both integrals ƏN y2 dx + x² dy dA ay for the given path. C: boundary of the region lying between the graphs of y = x and y = x² -1 Ly? dx + x2 dy 30 1 dA = ду ax 30

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A: Use additive property of integral to simplified the integral.

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A: Solving

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A: Solving

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A: The given function,      jr=esechr2+2r

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A: Explained below

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A:

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Q: S The flux is

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Q: solve the question with complete and correct explanation within 15 mins or else downvote

A: Let's find.

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A: Please see the explanation below and appreciate my efforts.

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A: Probability

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Q: g Ca) : -8) (uring logarithmic differentiation) 2 +4 11

A: We can find the derivative using logarithmic differentiation as below.

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A: Solving

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A: Cylindrical coordinates :       x = r cosθ , y = r sin(θ) , z=z where,    x2+y2 = r2   and θ =…

Q: %3D

A: Solving

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx

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A: This question is based on indefinite integral.

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 2x²–50…

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Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn