Verify Green's Theorem by evaluating both integrals (ON-OM) d [[ y² dx + x² dy = √ √ ( ³x for the given path. dA C: boundary of the region lying between the graphs of y = x and y = x² √ v² dx + x² dy am // (x-²) ²4 - [ dA = ax ay

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A: We will solve it

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A: To find the equation for the function.

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A: Topic:- calculus

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A: The following question belongs to sort trick question where we are provided with extra information.…

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A: The given differential equation is;  y''-16y=19.2e4x+60ex y(0)=y'(0)=0.

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A: Given :fx=2x2-4xx2+1

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A: To find the solution of the differential equation using undetermined coefficients.

Q: s help A

A: calculus

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A: We need to find integral.

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A: Given function: fx, y=2x2+7y2-4x-14y+12

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A: Solution:

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A: NOTE: Refresh your page if you can't see any equations. .

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A: This is a problem related to double integration. Please follow the general procedure given below.

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A: The given integral is: I=∫02∫08∫01x+y+zdxdzdy   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

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A: NOTE: Refresh your page if you can't see any equations. . the given value is x=4 the point on…

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A: topic- Relative extrema of a function.

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A: Follow the procedure given below.

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A: Follow the procedure given below.

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: NOTE: Refresh your page if you can't see any equations. .

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Q: Solve the following ODES by Undetermined Coeff 11 X 4X y 16 y = 19.2 € + 60 e - , уса) =ўс=0 THY 4X

A: This is a problem of ODE. Please follow the procedure given below.