hid. The line y d. The line y = -5/8 -5/8 redbuthents 2 y 0 X = ochiul 14 4 X = - y² 2 1 y² dibel 2 god norget 14 (2, 2) ______x 2 noigst odT TE IT →x A1U49

Q: Find the volume of the solid lying below z = 1 and above z = x² + y².

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Q: Region R Let R be the region bounded by the graphs of y = VT, y = e, and the y-axis.

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. Sketch a…

A: The curves are y=5 and y2=5x. The height of shell is hy=y2. The radius is distance from y to x-axis,…

Q: 42. y = x², y= 12 – x, x = 0, about y : 0, about y = 15 || -

A: We have to sketch the region first.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =r°,…

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Q: 45. Find the volume of the solid in the first octant bounded by the cylinders x² + y² = a², x² + z²…

A: First we will calculate the volume common to both the cylinders.  Parallel area perpendicular to x-…

Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and a 9 is…

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Q: The base ofa solid is bounded by the parabola y = 1 – x² and the x-axis. Find the volume of the…

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Q: The base of a solid is the region enclosed by the graph of y = vln x, the line x = e, and the…

A: Given,  The base of solid is the region enclosed by y=ln(x), the line x=e and the x-axis. Also…

Q: y=Vx, y= x

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Q: Find the volume of the solid generated by rotating the infinite region in the first quadrant between…

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Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 5y2 and x…

A: first we need to identify the region which is enclosed. Then setting up the integral with right…

Q: 1. 2. The area bounded by y = = -(x - 1)² + 4 , and the lines x =1, y = 2, and y = 4 rotated about…

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Q: The volume of a cylinder is V = Th. Part A Solve the formula for h in terms of t. h = Part B A…

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Q: 1. (4 -x- 2y) dxdy

A: Consider the given equation: The objective is to find the above integral.