Find the centroid of the triangle bounded by the x-axis, the y-axis, and the line 2x + y = 5. The centroid is at| Note: Enter your answer as an ordered pair, e.g., (5,7). Now find the volume of the solid obtained by revolving the above triangle about the line x = 7. Volume is

Q: Find the volume of the region under the surface z = corners (0, 0, 0), (7,0,0) and (7,7,0). 2 and…

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Q: Find the volume V of the region appearing between the two sur

A: Given, the two surface                  z=x2+y2  and z=200-x2-y2

Q: Use cylindrical coordinates to find the volume of the solid. Solid inside x² + y² + z² = 16 and…

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Q: 2. Take the triangle with vertices (0,0). (3,0) and (0,5) and the circle with radius 2 centered at…

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Q: Find the volume of the region under the surface z = corners (0, 0, 0), (7,0,0) and (7, 7,0). 2 1+x²…

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Q: z2 = 9 and outside the cylinder x? + y? = 1.

A: coordinates, x=r cos θy=r sin θz=2 x2+y2=r2cos2θ+sin2θ=r2x2+y2+z2=9r2+z2=9⇒z=±9-r2 x2+y2=r2⇒r=2

Q: Find the volume of the region under the surface z = 9x5 and above the triangle in the xy-plane with…

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Q: Use the Shell Method to compute the volume of a solid revolution generated by rotating the region…

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Q: Find the volume V of the solid below the paraboloid z equals 5 minus sqrt (1 + x^2 + y^2) and above…

A: Step 1:Step 2:Step 3:

Q: Find the exact volume of the solid formed in the first octant bounded above by the cone z = 2-√√x² +…

A: We have to find the exact volume of the solid formed in the first octant bounded above by the cone…

Q: Consider the solid bounded by the graphs x2 + y2 = 4, z = 4 – y y z = 0, found in the figure ZA z=4-…

A: We shall compute the volume of the given shape. Please find the answer in next step.