s(x) = - (x – 8)(x – 15) 20 - g(x) = - + 30 (10,15) 15 (10, 15), V Label • (14,9) V Label | (14, 9). P. -10 -5 10 20 25 30 35

Q: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

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Q: A pipe was cut into two and looks like this as attached in the picture.  Imagine both circle have a…

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Q: Use the Theorem of Pappus to find the volume of the given solid. the solid obtained by rotating the…

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Q: Solve by integration: Find the centroid of the region bounded by y=x3+3 and the lines x=0 and y=0.…

A: given functions are                                              y=x3+3x=0y=0…

Q: Find the volume of the region under the surface z = 925 and above the triangle in the xy-plane with…

A: The region is under the surface z=9x5 and above the triangle in the xy plane with corner 0,0,0,…

Q: Determine the volume of the solid formed when a circle that passes through the points (l , 3), (3 ,…

A: As per the question we are given a circle passing through the three points : (1, 3) ; (3, 1) ; (1,…

Q: Find the volume of the region under the surface z = corners (0, 0, 0), (6, 0, 0) and (0, 3, 0). 824…

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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 approximate area of ​​the part of the plane x=z that is between the planes y = 0 and y = 6…

A: As per the question we have to calculate the area of the plane surface x = z bounded by the planes y…

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: *Sketch all appropriate regions or solids." Find the volume of the region Q bounded by z = 0 and…

A: The solid Q is bounded by the graph of z=0 and z=fx, y, where fx, y=a2-x2+y2. Assume that a is…

Q: *Sketch all appropriate regions or solids.* Change from eylindrical to rectangular: IL rdzdrdo .…

A: To find- Change from Cylindrical to rectangular: ∫02π∫01∫r22-r2r dz dr dθ. Sketch the solid Q and…

Q: Use polar coordinates to find the volume of the solid that lies below the paraboloid f(x,y) = 36-…

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Q: Find the volume of the parallelepiped with the sides ü = (3,1,2), v =(4,5,1), w=(1,2,4). %|

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Q: Find the centroid of the triangle bounded by the x-axis, the y-axis, and the line 2x + y = 5. The…

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Q: Find the volume of the region between the ellipsoid (x/6)^2+(y/3)^2+(z/2)^2 = 1 and the plane x/6…

A: The region is bounded by  and

Q: Find the volume of the parallelepiped with adjacent edges −→OA = , −−→OB = , −−→OC = .

A: Volume of parallelepipe is given by=  | a.(b*c) |

Q: Determine by direct integration the centroid of the area shown in the figures. Where a= 22 cm and b=…

A: The centroid of the bounded region: The centroid x¯-y¯ of a region bounded by the graphs of the…

Q: Find the volume of the solid bounded below by the circular paraboloid z = x² + y² and above by the…

A: We want to evaluate volume of solid below by the paraboloid z = x2 +  y2  and above the…

Q: Calculate the volume of the region bounded by the spherex + y² + z² = 9 from above and by the cone…

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