Given the area bounded by the curve y^2 = 4x and y^2 = 8x − 8. Determine the centroid area bounded by the two curves. A. (0.6, 0) B. (0.8, 0) C. (0.2,0) D. (2.0, 0)

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A: Given: The given curve is, The x-axis and the vertical line passing through the maximum coordinate.…

Q: Find fne volume og the sohid öL taimed by rotading he region giren by y=*, yz0, x=, and =2 albant…

A:

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

A:

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.

A: so we have and the other function is

Q: Verify by integration that the Xbar location of the centroid of a quarter circle is (4r/3 pi)

A:

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A: Area of surface is evaluated.

Q: integrate the function f(x,y) = x^2 +y^2 over the unit circle

A: In this question we  integrate the function f(x,y)=x2+y2 over the unit circle the unit circle…

Q: D Find the area of region bounded by the Curve y= Xe and X-axis From X=otox=4 %3D

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Q: Find the area of the cap cut from the paraboloid y^2+z^2=2x by the plane x=2

A: To Find: Area of the cap cut from the paraboloid y2+z2=2x by the plane x=2.

Q: Find the area of the plane region that lies below the line y = 2x and between the parabolas y= 2x^2…

A: Given Curves are:…

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A:

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

A:

Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

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A: Concept: The surface area of the half ball is given by: A=∬1+∂z∂y2+∂z∂x2dA Where ∂z∂y, ∂z∂x is the…

Q: Find the area of the surface when y = vx, from (4, 2) to (9, 3) is rotated about the x-axis.

A: Surface area formula for rotating about x-axis is S=∫2πydS where dS=1+dydx2dx

Q: Find the area between the curves Area = x = y² - 2y +36 x = -y² - 20y

A:

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: Find tu are and centrord banded by 2 X ニ 4-4y 4-y Graph. こ

A: Given boundary curves1. x = 4-y2  ⇒ y=±x-42. x = 4-4y  ⇒ y= 144-xPlot the curves, get the…