Find the centroid of the plane area shown below using integration. y²= 3x - y = x²/3 -X

Q: Find the area of the region between the functions y = (x – 5)3,y = x – 5.

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Q: Find the ordinate of the centroid of the region bounded by the parabola y = -x2 and the line x = 2y…

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Q: Use integration to find the area of the figure having the given vertices. (0, 0), (1, 4), (3, −2),…

A: Consider the points and plot the graph of the function.

Q: ter performing the calculations, swap the order of integration and count the integral again.

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Q: Vx3+V4x+8 dx 2 vä ( \x²)

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Q: Please find the area of a triangle with vertices (1,0), (2,2), (3,1) using integration Using this…

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Q: 1) Sketch the region bounded by y = 1– x and y = x2 – x and find the area of this region. 2) Sketch…

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Q: Find the area bounded by the two curves f(x) = x² – 8x + 8 and g(x) = - 2² + 6x – 8, and the two…

A: To find Area between two curves:  f(x)=x2-8x+8 and g(x)=-x2+6x-8 and two vertical lines x=3 and x=4.…

Q: find the area of the shaded region

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Q: Shade the area of the region bounded by the parabola, x 2+p2-2(p+7)x-5y+59 + 14p 0 and the straight…

A: Equation of the parabola: x2 + p2 -2p+7x - 5y + 59 + 14p = 0               (1)Equation of lines:x =…

Q: Evaluate the area between x = y2 - 4y and x = 2y - y2.

A: Consider the given function as x=y2-4y and x=2y-y2

Q: Shade the area of the region bounded by the parabola, x² + p? – 2(p + 7)x – 5y + 59 + 14p = 0 and…

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Q: S S.(x + y)dxdy by reversing the order of integration.

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