2. Consider the region (shown below) in the first quadrant bounded by y = x(x - 1)2, y = 0, between x = 0 and x = 1. (b) 0.16 (c) 0.14 0.12 0.1 0.08 0.06 0.04 0.02 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 -0.02 For each problem below, using the shell method to set up an integral for computing the volume of the solid obtained by rotating the region R about the given line. Do not evaluate the integral. (a) The y-axis (i.e. x = -1 1 x = 1 0.6 0.65 0.7 x = = 0) 0.75 0.8 0.85 0.5 0.95

Q: 3. The region between the graphs of y = x3 + 4x - 1 and y = 2x3 + 3x? - 1

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Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

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Q: 11. The apothem and the height of a regular four-cornered pyramid are 8 cm and 4 cm respectively.…

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Q: 1) Find the area bounded by curve y = xvx2 + 1 and the lines x = 0, x = 4 an %3D the x-axis.

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Q: Evaluate S Sx y dx dy, over the region in the first quadrant given between the following curves

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Q: 6. The region bounded by y = 2x - x2 and y = x abouta. the y-axis b. the line x = 1

A: The region bounded by y=2x-x2 and y=x about  about the y-axis, ∫01∫y=x2x-x2dydx=∫01(2x-x2-x)dx…

Q: 3. The area of the region under the curve y = 6z bounded by the lines z = 3 and z = 5 above the…

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Q: 3 Fig.11.49 shows part of the line y = 2x and part of the curve y = 4x-x². Calculate the ratio of…

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24…

A: Given y2=4x X=1 and x=4

Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: What are the range of values of x for which 3x^(2) < x^(2)-x+3?

A: We have to find out the range for the given inequality.

Q: Find the area of the region lying between the x-axis and the curve y = In(7x) – 1 to the right of…

A: Consider the function y=ln7x-1x2. Find region between the curve to the right of line x=e and  x-axis…

Q: (5) Find the area of the region bounded by f(x) = 6-x, g(x) = x-2 and the lines x = 0, and x = 6.

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