Sketch the region R of integration and switch the order of integration. 36 - x fx, у) dy dx y

Q: (xy+ yz+ xz)dV B = {(x, Y, 2) | 0 < I < 5,0 < y < 4,0 < z< 7} . Do not round. Hint: dV can be…

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Q: S6* - 4y + 4)""dy 4/3

A: Given integral ∫y2-4y+443dy

Q: 5. Evaluate ff ex²dA where R is the triangular region bounded by y = 2x, y = 0, and R x = 2.

A: We need to evaluate the given double integral ∬ex2dA over R. Where R is triangular region bounded by…

Q: Ex. Evaluate ff y ds where S is the portion of the cylinder x + y = 3 that lies between z= 0 and z=…

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Q: 3evy dy 4, 18. &p y

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Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

A: To solve the line integral ∫(2x - y)dx + (x + 8y)dy over the curve C, which is the x-axis segment…

Q: h.w: find Df, R1 y = Vx2 -6x + 8 %3D

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Q: Evaluate SSDY²+ 3x d A where Dis (egion in the between x°ty3sl and X?+y²-16 3rd quadrant

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Q: 6. Change the order of integration and evaluate 1 3 3y e-² dxdy.

A: To change the order of integration and to evaluate ∫01∫3y3e-x2 dx dy.

Q: Find the Centroid of the shaded area y -30– 30 15

A: Lets draw co-ordinates in the figure as such: Also lets guess mass-density per unit area is unit.

Q: Using integration by parts formula, the Jrit) at - (St- 1) + C. Sudv- froa, and dv. find u u=t,…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Evaluate using integration by parts. І 0 5xe4x dx

A: The given definite integral .The aim is to calculate the integral value.

Q: Graph the region bounded by the curves y =x, y=. Find the centroid of the region.

A: Given that y=x2 and y=x re-write the above curve as, let fx=x2 and gx=x The graph of these two…

Q: Determine the x-coordinate of the centroid of the shaded area by integration. 31 y 23 35 Answer: x =…

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Q: dx Vx2 – 8x

A: Given: I=∫xx2−8xdx

Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx