Find the area of the surface generated by revolving the curve x = Vy, 0

Q: Find the area of the region bounded by the curve defined parametrically by x = 4cos 2t, y = 4 sin 2t…

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Q: Find the volumMe generated by revolving the area bounded by the giveN Curve and avd lines y = x', x…

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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: Find the volume of the solid generated by the curves y=x and y=x^2 when it is rotated about the line…

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Q: compute the surface area of revolution about the x-axis over the interval. y= x3, [0, 2]

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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: What is the solid of revolution obtained when you revolve the region bounded by the curves y=x−1,…

A: We have given curves y=x-1,  y=0 and x=3 And we can plot graph of these curves as We can  see here…

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

A: Given : y= x3    ,  limit  0 to 1

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: The area of the region bounded by the two curves y=z' and y 64 is %3D Square Units

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Q: Find the lateral surface area of the cone generated by revolving the line segment y = x/6, 0 sx s2…

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Q: Determine the moment of inertia of the area bound by the two curves about the x and y axis. y y = x?…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, n] for y = 6 sin(x).

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Q: Calculate the surface area x2+y2+z2=25, between the z=1 and z=4 planes

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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 surface area of revolution about the y-axis of x 36 – y? over the interval 0 < y < 2 -

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Q: Find the center of mass of a thin plate covering the region between the x-axis and the curve y =…

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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 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 obtained by rotating the curve y=sqrt(4x) from x=0 to x=6 about the…

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Q: Sketch the region enclosed by the curves and find its area. 1 Y = V1 – 9x2' y = 2

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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 volume of the solid generated byrevolving the region in the first quadrant bounded by the…

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Q: Find the area of the surface generated by revolving x = 6t and y = 4ť (0 < t < 1) X

A: answer is in next step

Q: 4. Determine the surface area of the solid obtained by rotating y = v9 – x2, -2 < x<2 about the x -…

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Q: Find the volume of the solid generated byrevolving the region in the first quadrant bounded by the…

A: Given-y=cosx, 0≤x≤π2 To find- the volume of the solid generated by revolving the region in the first…

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: Find the area of the surface generated by revolving the given curve about the yy-axis.…

A: Given curve is, x=25-y, -1≤y≤0 Now, differentiating with respect to y we get,…

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

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Q: Find the area of the surface obtained by rotating the curve. y=x+, 1<x< 2 rotated about the x-axis…

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Q: Find the surface area of revolution about the x-axis of y = 2 sin(4x) over the interval 0 <I<

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Q: Find the surface area of revolution about the x-axis of y = 3x + 2 over the interval 0 < z <1

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Q: Find the area of the surface generated by revolving the curve y = 3sqrt(x)  between x = 0 and x = 4…

A: Given curve, y=3x x = 0 and x = 4

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 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 that is generated by revolving the curve y= V16 – x² on the interval…

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Q: Find the surface area of revolution about the x-axis of y = 5 sin(4x) c

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Q: 2. Determine the area of the surface generated by revolving a given curve about a given axis. a.…

A: Formula to find the surface area by revolution helps to find the required surface area. Formula to…

Q: Find the area of the surface obtained by rotating the curve y = x² - In(x) about the y-axis for 3…

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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 obtained by rotating the curve y = about y-axis for 1 ≤ y ≤ 3. Area:

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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 surface area obtained by rotating y = V9 – x² -2sxs-1

A: As we know that; The expression for the area of surface rotating about the x-axis. S=2π∫abfxf'x2+1dx…

Q: Find the surface area of the curve f (x) = x over [1,2| rotated .3 3 about the – axis -

A: The revolution of the curve y = f(x) around the x-axis is: S=2π∫abf(x)(f'(x))2+1dx

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 volume and the surface area that generated due to rotate the bounded area between the curve…

A: I use washer method to find volume about x axis