What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2 is revolved about the y = 4 ? O (1/2,4) O (3/2,4) 4 O (4, 1/2) O (4,3/2) O NA

Q: Determine the centroid of a cross section with an isosceles right triangle of base 9 cm, a…

A: Determine the centroid of a cross section with an isosceles right triangle of base 9 cm, a…

Q: 2 y = 12 – 3x", y = 4 – x 2

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Q: Find the centroid of the region bounded by the parabolas: y x²-4 and y = 0.75x²-3.

A: Given: Parabola equations y=x2-4, y=0·75x2-3To find: The centroid of the region bounded by the given…

Q: Integrate f(x, y, z) = 6rz over the region in the first octant (x, y, z 20) above the parabolic…

A: Given that f(x,y,z)=6xz . Which can be expressed as f(x,y,z)=6xz=620  (20xz) . And we will find the…

Q: S how that the line af intesection of the Planes and 5x-2y-Z=0 X+2y-22= 5 is Paralkel to thelime メ+3…

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Q: A thin metal plate of uniform density covers the area between the curves y = 2+ 6x – x² and y = 2 –…

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Q: 1. Compute fSSp(z+1)°dV where E is the region lying inside the sphere x² +y² + 22 = 1 of radius 1…

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Q: Find the centroid (, ) of the region bounded by: =9z²+5x, y=0, and x=8 y 7= BIC

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Q: The exact solution of the 2q(z - px - qy) = 1 + q^2 equation and by using this solution, Find the…

A: The given equation can be written in the form of the Clairaut's equation as below: z=px+qy+121+q2q…

Q: Find a center of mass of a thin plate of density 8 = 5 bounded by the lines y = x and x = 0 and the…

A: Center of mass of the plate is given by  x,y=MyM,MxM here M=∫∫D δx,ydAMx=∫∫D yδx,ydAMy=∫∫D xδx,ydA…

Q: Which of the following is equivalent to the surface area of rotation of the function y on the…

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Q: | 5y? dx +xy dy

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Q: What is the moment of inertia of this area about the line y = -10 ?

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