The surface area of the surface generated by revolving y =x³ , 0 Sx<1 about the x- axis is

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

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Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2…

A: We need to calculate the volume.

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

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Q: Determine the surface area generated by revolving the curve y=1/3 x³ over the interval (0,2), about…

A: The given curve is y=13x3  on 0, 2. This implies that, dydx=x21+dydx2=1+x41+dydx2=1+x4y1+dydx2=13x3…

Q: Find the area of the surface obtained by rotating the curve about the y-axis. x=y^3, 0 less than or…

A: Consider the given curve and draw it,

Q: Compute the surface area of revolution of y=sinxy=sin⁡x about the x-axis over the interval [0,7π]

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Q: Find the surface area for the solid of revolutic -1< x<1 about the x-axis.

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Q: Determine the surface area generated by revolving the curve y=-x'over the interval 3 [0, 2], about…

A: The surface area of revolution of y=fx over a,b revolved about x-axis is A=2π∫abfxdfdx2+1dx Now, we…

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 about the x-axis of y 7 sin(7z) over the interval 0 <z VI

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: • This is a problem based on the applications of definite integral.  First we have to identify the…

Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

A: Since for sec2x , M is undefined

Q: Compute the surface area of the solid obtained by revolving the region between the x-axis and the…

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Q: The surface area of the surface generated by revolving y =x³ , 0<x<1 about the x- axis is Sz0.4296…

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Q: The volume of the solid generated by revolving the region bounded by the curve y = cos 2x, 0Sxs4…

A: (π^2)/8  cubic units

Q: Find the moment of inertia of the solid formed by revolving about ox the area bounded by a^2y=x^3,…

A: The given problem is to find the moment of inertia of the solid formed by revolving about an x-axis…

Q: Find the surface area of revolution about the x-axis of y = 3 sin(6x) over the interval 0 <x < -

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the volume of the solid generated by revolving the region bounded by the curve y = sin x and…

A: Given:Find the volume of the solid generated by revolving the region bounded by the curve y = sin x…

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 surface of revolution generated by revolving about the x-axis the arc y…

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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: Determine the area of the surface generated by revolving y=x³ on (0,1), about the x-axis.

A: The given curve is y=x3  on 0, 1 about x-axis. This implies that,…

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 surface area of the solid generated by revolving the region bounded by the graphs of y =…

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Q: Find the surface area of revolution about the x-axis of y = 7 sin(3x) over the interval 0 < x <

A:

Q: Find the surface area of the solid generated by revolving the region bounded by the graphs of y =…

A: We find dy/dx for y=x^2

Q: Find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π

A: To find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π.

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: 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 volume of the solid generated by revolving the region bounded by by y = cos 2 y = sin =. x…

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Q: : Find the volume of the solid generated by revolving the shaded region about the x-axis: y = sinx…

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Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,π].

A: Given data: The expression for the given function is y=sinx. The given interval of x is [a,b]=[0,…

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 volume of the solid generated by revolving the area bounded by the given curves about…

A: Given:-the region bounded by y=sinx, x=0 and y=1revolving about y=1using washer/disk…

Q: Find the surface area of the surface of revolution formed by revolving the curve y= 3cosX from X=0…

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Q: Find the volume of the solid generated by rotating the region bounded by y = sin²(x) and y = 0…

A:

Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

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Q: Find the volume of the solid generated by revolving about the y axis the region under the curve…

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Q: Find the center of the mass of a thin plate of constant density 6 covering the region bounded by the…

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Q: Find the surface area of revolution about the x-axis of y = 4 sin(4x) over the interval 0 < x < 4

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Q: The area under the curve 4y2 =" (x2 + 1)3 was rotated about a line located to the left of y – axis…

A: The surface area of the solid can be obtained using the Pappus theorem. The surface area is…

Q: Find the volume x=y-y2; x=0 revolving at y-axis

A: Given problem:- Find the volume x=y-y2 ; x=0 revolving at y-axis

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

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Q: The volume of the solid generated when the region at the first quadrant bounded by the curve y = x²…

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Q: (b) Find the volume of the solid generated by revolving the region enclosed by the curve y = 6x – x…

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Q: Find the surface area of revolution about the x-axis of y = 6 sin(7x) over the interval 0 < x < 7

A: Here we have y=6sin(7x)  We have to find surface area of revolution about x axis in interval 0 to…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: We first sketch the region using a graphing calculator.  The shaded region will rotate about the y…