24 22. Find the volume generated by revolving about Ox the area bounded by the Ans. ra³. hyperbola xy = a², the line x = a, and the x-axis.

Q: 7m

A:

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Q: 1

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Q: 3]. , Let V = ar²h, where V the volume of a right circular cone of radiusr and height h. Show that…

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Q: 3. Find the volume of solid of revolution (in cubic units) when the area of the region bounded by y…

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Q: Find the surface area for the object obtained by rotating y = 7x + 2 about the x-axis over the…

A: The object is obtained by rotating about the x-axis over the interval .We have to find the surface…

Q: 3. Find the volume of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and x + %3D y + 2z =…

A: Will use the triple integration to find the volume of the tetrahedron which is bounded by the given…

Q: 10. The x-axis and y-axis form the axes of two right circular cylinders with radius = 1. Find the…

A: Given: The axes of two right circular cylinders with radius 1

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

A: Given y2=4ax and y=x Volume rotating about y- axis = π ∫ab x22 - x12 dy

Q: # 8) Find the volume of the cylinder 21.5 36.2

A:

Q: Find the AREA and VOLUME (Identify what type of volume) bounded by the equations; y = 4x - x² and x…

A: The given curves are y=4x-x2 and x+y=4 We have to find the area and the volume bounded by these…

Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: 1= find the volume of the solid of revolution. 4-x=(y-2)² 3 2

A: The given curve is: 4-x=(y-2)2

Q: 13 In Fig.11.41, the curves y² = 4x and y = 2x² intersect at O and A. (a) Find the coordinates of A.…

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Q: 10. A vase is designed by rotating the section of the curve x(x – 1)² + 0.5 between x = 0 and r =…

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Q: Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

A: Suppose a region is enclosed by two curves y=fx and y=gx. To calculate the volume of the region…

Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A 92/6 s.u. B 92/4 s.u.…

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Q: 39.) Show how to find the surface area of f(x,y) = xy that lies over the unit circle.

A: A detailed solution is given below.