D Find the area of the surface generated by revolving the region bounded by, 1 1

Q: Find the surface area of revolution about the y-axis of y = 3 – 3x over the interval 0 < x <1

A: Given

Q: 2. Find the area of the plane region bounded by the curves y = x2 – 2 and y = x

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Q: Find the area of the surface generated by revolving the semicircle y = √1 − x about the x-axis over…

A: Given that, y=1-x. dydx=121-x-12·-1=-121-x 1+dydx2=1+-121-x2=1+141-x=1+14-4x=4-4x+14-4x=5-4x4-4x

Q: Find the area of the surface formed by revolving the graph of f (x) = x2 on the interval [0,√2]…

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Q: Q10 Find the area of the surface generated by revolving the region bounded by, y = 1< x<5 8x about…

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Q: Q10 Find the area of the surface generated by revolving the region bounded by, 1 13x< 5 y 4 8x2…

A: To find the area of surface generated by revolving the given region and bounds about y-axis we will…

Q: The area of the region bounded by the curves y = I' and y = 2x is %3D 1/3

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Q: Find the area of the surface formed by revolving the graph of y = 2e−x on the interval [0, ∞) about…

A: Consider The infinite curve

Q: B. Find the area of the region bounded between the curves y = Vx + 3, y (x+ 3)/2

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

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Q: Find the volume of the solid formed when the area of the region bounded by the curves x2- 3y=8 and…

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Q: Find the surface area of revolution about the y-axis of y=6x+3 over the interval 0 ≤ x ≤ 3

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Q: Find the area of the surface generated by revolving the region bounded by, y6 1 x = + 16y4 i 1<ys 5…

A: In this question, we find the surface area generated by rotating the region bound by the given curve…

Q: Find the surface area of revolution about the x-axis of y 4x +7 over the interval 0 < r<3

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Q: Find the area of the surface formed by revolving the graph of y = 2√x on the interval [0, 9] about…

A: given that f(x)=2x . we need to find the area of the surface formed by revolving the graph y=2x on…

Q: Q10 Find the area of the surface generated by revolving the region bounded by, 8xf about the y –…

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Q: Find area of the region bounded by x2 + y2 = 32, 6y = -7x and 15y = 4x where y > 0. Leave your…

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Q: Find the surface area of revolution about the x-axis of y = 2x + 7 over the interval 0 <x <1

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Q: Find the area of the surface generated by revolving y = Vx +1 from r = 1 to x = 5

A: The objective is to find the area of the surface generated by revolving y=x+1 from x=1 to x=5.

Q: Find the area of the surface formed by revolving the graph of f (x) = x³ on the interval [0,1]…

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Q: d the area of the region bounded by the curves y = 3x and y = x².

A: Given query is to find area bounded by the curves.

Q: Find the surface area generated by revolving y=7x+6 about the x axis on the interval [0,6]

A: We need to find the surface area generated by revolving y=7x+6 about the x axis on the interval…

Q: Find

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Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 2≤x≤5

A:

Q: 2. Find the surface area when y = 2\x with 1 < x < 3 is rotated around the x axis.

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Q: Q10 Find the area of the surface generated by revolving the region bounded by, x6 1 y =6+ 16x4 1<x<3…

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Q: = Find area of the region bounded by x² + y² = 4², 10y = -6x and 13y 8x where y > 0. Leave your…

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Q: 3. Find the surface area generated by rotating y=- bounded by y=0_ x=0 , and x=9 about the the…

A: Surface area generated by rotating a curve y = f(x) about the x-axis from x = a to x = b is given by…

Q: find the area of the region bounded by the parabola x=y^2+2 and the line y=x-8

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Q: Find the area of the surface obtained by revolving the graph of x = y³ on the interval [0,1] about…

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Q: Find the surface area of revolution about the x-axis of 5z +3 over the interval 1 < z < 2

A: y=5x+3 &amp; given interval 1≤x≤2As we know surface area of revolution abput x-axis from x=a to…

Q: b) Find the surface area of the region under the curve 2/3 2/3 =1 by revolving about x-axis. a

A: b We have to find the surface area of the the region under the curve xa23+ya23=1by revolving about…

Q: 5. Find the area of the surface of revolution generated by revolving .3 y = on interval [0,3] about…

A: Given: The function y=x33on interval 0,3, To find: The area of the surface of revolution generated…

Q: Find area of the region bounded by x2 + y2 = 32, 6y = -6x and 20y = 6x where y 2 0. Leave your…

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Q: Find the surface area generated by revolving y=5x+2 about the x axis on the interval [0,6]

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Q: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

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Q: Find the area of the surface formed by revolving the graph of y = Vx + 2 on the interval [1,8] about…

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Q: Find area of the region bounded by x2 + y2 = 52, 3y = -2x and 20y = 8x where y 2 0. Leave your…

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = =9y-y2 and y = 2

A: Follow the steps.

Q: The area of the region bounded by the curves 8x =y° and 8x = 2y+y2 -2y is

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Q: The area of the region enclosed by curves is    curves x=2y^2              x=0 , y=3

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Q: 7) Find the area of the surface that is formed by revolving the function y = 2 x on the interval %3D…

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Q: 2. Find the area of the surface obtained by revolving the curve g(x) = Vx +1 on the interval 0 < x <…

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Q: Find the area of the region bounded by the curves x = =Dy² +2, y y = x-4 and y = 0.

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Q: Find the surface area of revolution about the x-axis of y 6x + 3 over the interval 2 < x < 5

A: In the question the curve given is - y=f(x)=6x+3 , 2≤x≤5 We need to find Surface area of revolution…

Q: Find the area of the region enclosed by the line y = 2x + 4 and the parabola y = 4 - x2 in the…

A: The diagrammatic representation of the area is,

Q: OFind the area of the surface generated by revolving the region bounded by, 1 ; 1sys5 16y* about the…

A: To find the area of surface generated by revolving the region bounded by given curve about the…

Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: 9. Find the area of the surface obtained by rotating the curve y = x',0sxs2 about the x-axis.

A: Given : y = x³, 0≤x≤2 about the x-axis

Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…