Find the area of the surface generated by revolving the curve y /2x-x, 0.25 sxs1.5, about the x-axis.

Q: Find the surface area generated by revolving the portion of the curve y=x^2+1 between x=1 and x=2…

A: Given that, Curve, y=x2+1   We have to find the Surface Area Generated by revolving the portion of…

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 obtained by revolving the curve x=/y+1, for 1<y<, around the y-axis.

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Q: Find the area of the surface generated by revolving the curve y = /2x – x2, from x = 0.25 to x =1.7

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Q: Calculate the area of the surface generated when the curve, y = Vx is revolved on the interval [1<…

A: y=x3then x=y3 area of the surface=∫12xddy=∫12y3dy=y4412

Q: 2. Find the surface area generated by revolving the circle x = cost, y = 1 + sint, 0sts2n over x -…

A: Use formula of area about x axis

Q: Calculate the area of the surface generated when the curve, y = Vx is revolved on the interval [1<…

A: Consider the equation

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: Find the area of the surface generated by revolving the curve 1 V1 + eb", 5x 0 < x < 2 around the…

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Q: Find the area of the surface generated by revolving the curve about the y-axis. y=4-x², 0≤x≤2.

A: In this question we have to find the area of the surface generated by revolving the curve about the…

Q: Find the area of the surface generated by revolving the curve x = Vy, 0<y <4, about the y-axis.

A: We will use standard method.

Q: Find the area of the surface generated by revolving the curve y = sqrt(x2 + 2), 0…

A: find dy/dx and solve for ds.

Q: Find the area of the surface obtained by rotating the curve y = cos(2x), 0≤ x ≤ π/6, about the…

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Q: Find the surface area of revolution about the x- axis of y = 3 sin(5x) over the interval Preview

A: Given curve is y=3in(5x), firstly, we will find dy/dx

Q: Find the surface area of revolution generated by revolving the curve y= (3x)5 over about the y…

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Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

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Q: Find the moment of inertia with respect to the x-axis of the area bounded by the parabola y2 = 4 and…

A: Solution is given as below:

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: Determine the surface area generated by revolving the arc 3y= 4x from x=0 to x=3 about the x-axis.

A: To find- Determine the surface area generated by revolving the arc 3y = 4x from x=0 to x=3 about the…

Q: Find the area of the surface formed by revolving the graph y=x on the interval [0,3] about x-axis.

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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 the area of the surface generated by revolving the curve about the indicated axis. 36) y=V4x -…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area of the surface generated by revolving the curve about the indicated axis.   y = x 2/4…

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Q: Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis.…

A: Below is the solution:-

Q: Find the area of the surface obtained by rotating the curve about the y-axis. x=y', 0sys3

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Q: Find

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Q: Find the area of the surface obtained by rotating the curve y=sqrt(4x) from x=0 to x=6 about the…

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Q: Find the surface area generated by revolving Y=(x^3)/6 about the x axis over the interval [0, sqrt6]

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Q: Find the surface area obtained by revolving the parabolic arc y2=x from (0, 0) to (9, 3) about the…

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Q: Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³…

A: A detailed solution is given below.

Q: Find the area of the surface generated by revolving the curve - 5x y = e-b", x > 0 around the -axis.

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Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

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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 area of the surface generated by revolving the curve - 5x y = e x > 0

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x³ between…

A: Given y=x3 , x=0 , x=1The surface area of revolution of the curve y=fx is given by s=2 ∫ab…

Q: Find the area of the surface generated by revolving the curve y=x3/3 from x=0 to x=1 about the…

A: To find the area of surface generated by y=x33 and x=0,x=1 about x-axis A=∫012π·y·dS, dS=1+y'2·dx,…

Q: Find the surface area of the solid gained by revolving the curve 0 < x < 14, about the x – axis. 14'

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Q: Find the area of the surface generated by revolving the curve y = - V6 sxs0, about the x-axis. 24'

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Q: Find the area of the surface generated by revolving the curve y = /8x – x² on the interval sa <…

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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: 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 the area of the surface generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

A: area = ∫06 ydx area = ∫06  x3dx/24 area = [x4/96]60 area = 6*6/96 - 0 area = 3/8

Q: Find the area of the surface obtained by rotating y = cosh x over [−ln 2, ln 2] around the x-axis.

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Q: Find the area of the surface generated by revolving the curve y = sqrt 2x-x^2, 0.25 less than or…

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Q: Find the area of the surface generated by revolving the curve y = 2√x, 1≤x≤2, about the x-axis.

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Q: find the surface area by rotating the curve about the y-axis; y=x^3 from x=0 to x=2

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Q: Find the area of the surface obtained by rotating the following curve about the x-axis. y=2x3 , 0…

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Q: Find the area of the surface generated by revolving the curve y = 3/x, 1 < x <4 about the x axis.

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Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

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Q: Find the area of the surface generated by revolving the curve x = Osys2, about the y-axis

A: Given: The curve is x=y32, 0≤y≤2 about the y-axis The formula for find the area of the surface is…