If R is the region bounded by the curves, y = e -x and y = 4 where − ln 4≤x≤0 Write the equation of the surface area of the solid obtained by rotating the region R about the y- axis . Do not evaluate the integral, use exact values and show all your workings.

Q: Revolve the region between y=x-x4 and y=0 about the y-axis. Find area

A: The given region is between y=x-x4 and y=0 and it is revolved around y- axis.

Q: Use the integral table and a calculator to find to two decimal places the area of the surface…

A: Consider the given equation of the curve y = x2,  -1 ≤ x ≤ 1.The surface area of the surface…

Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

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Q: Find the area of the region bounded by the curves y = 1/x , y = x and y = 4x in the first quadrant.…

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Q: What is the area of the region bounded between the curves y = 6x and y = 4x? What is the area of the…

A: 1) The given curves are  y=6x2 and y=4x First equate both curves 6x2=4x  6x=4    x=23

Q: Find the area od the surface generated by revolving the curve y=2√x  1<=x<=2 about x-axis

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Q: y = } + sxs1 <x<1 2

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Q: find the area of the surface obtained by rotating the curve along the x-axis

A: Surface area along x-axis

Q: Find the area of the surface obtained by rotating the curve y = x about y-axis for 1< y< 3.

A: We have to find surface area

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

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Q: 1. Find the surface area generated by rotating the curve y = /2x + 4 about the x-axis for x = 2 to x…

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Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to…

Q: 8) Find the area between the curves: y = x'-9x + 14x and y =-x +9x2 - 14x

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