Express the iterated integral as an equivalent integral with the order of integration reversed. 20 Tee®y dy dx = f (x, y) dx dy NOTE: Enter the ezact answers. a = %3D f(x, y) =

Q: y = 4 − x2,    y = 0 Calculate its area

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Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: Reverse the ร fit 4 O √5x sle should order dy be of integration 18 doc dy for

A: To reverse the order of the following integration.

Q: y y = x' - 2 x 4 2 -4 -2 2 -2 y = 2 x -6F (a) Find the points of intersection of the curves. (х, у)…

A: We have to solve given problem:

Q: c. Integrate the following function using integration by parts. į fxe* dx Inx i. dx

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Q: integration

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Q: Find the complete integral of 1 dz z dx 1 dz z dx2 1 dz = x1 X2 X3. z dxz %3D

A: Given 1z∂z∂x11z∂z∂x21z∂z∂x3=x1x2x3. Find the complete integral using the Jacobi method.

Q: Here R^3 - {(0,0,0)}. please proof this using submersion. thank you.

A: Given: R3=(0,0,0) To find: The set M=(x,y,z)∈R3:x2+2y2+z2=4xyz a submanifold of R3.

Q: byparts VE tan! (VE) dt

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Q: Use a double integral to fi and y = 3(x+ 1).

A: Given the two curves y=x2+2x+1y=3(x+1)

Q: Please find the integrating factor. Show work. Thank you!! 1 dy x dx 3 1/2 = x³, y -2 X =x_, x > 0

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Q: dy + 2.xy= 5x² is dx The integrating factor of

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Q: 2. Integrate dy (a) Vy* +16 (b) |6x – x² dx

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Q: X dy dx - Y 2 x arcsin (r)y5

A: CONVERT THE GIVEN EQUATION IN LINEAR EQUATION OF FIRST ORDER BY SUBSTITUTING v=1y4 AND THEN SOLVE…

Q: 1. Use contour integration to evaluate the following integrals dx (1+x²)³ · Sº i. x dx 11. 5. (x² +…

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