Setup the iterated integral using the order dydx and dxdy. Sketch R. // (Va+ e") dA where R= {(x, y) E R² : 0 < x < 4, –1

Q: Q\ Evaluate the iterated integral by converting to polar coordinates 2 2x-x2 Vx2 + y? dy dx

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Q: Find the function "y" that makes the integral stationary V1+y²y2

A: Please check step 2 for solution

Q: Evaluate the integral : dæ +C (x-7)(x+7)

A: We have to solve the integration

Q: Use the given transformation to evaluate the integral. || 2 Y dA, where R is the parallelogram…

A: Given, ∫∫Rx-4y6x-ydA Where R is the parallelogram enclosed by the lines x-4y=0,x-4y=2 and…

Q: 2x+ Vx* – 3Vx Find the integral | 5/ 2

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Q: Compute the antiderivative using appropriate substitution. t tan-' (t“) dt 1+14 V1 – 1² + C O tan-"…

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Q: Calculate the following integrals-: (2 – 2r² + I dx "9x - 3x + 1 dx 1- 2- 16r - dx 4x² – 4x + 1 3-…

A: As per guidelines we are suposed to answer the first three questions. Please repost the other…

Q: c. Integrate the function f(x, y) = x-y over the triangle with vertices (0,0), (1,0), and (2, 1). Do…

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Q: 5. S'dx x In x A. B. xlnx C. Inx D. x

A: None of the option is correct.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. /49-x2 r88–x²–y? x dz dy dx =…

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Q: Evaluate the iterated integral I = SoS"(24y + 2) dady

A: Answer for the integral is : 14

Q: 13. Verify if div(curl F) = 0 for F = (x - y) i+ (x + y)j+ zk. %3D

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Q: Evaluate the iterated integral by converting to polar coordinates /16—г2 3xdydx 16—х2

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Q: 3 1 4 1 | |(2x – 4y)dydx (2х — |x²ydxdy 3. 4. - 1 2 0 2π π |(sinx + cosy)dxdy 5.

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Q: Evaluate the line integral -ydx + xdy along the curve C : y = 3x from (3, 3) to (0,0). NOTE: Enter…

A: We have to find the line integral ∫C-ydx+xdy along the curve C: y2=3x from (3,3) to (0,0)