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

Q: Find the area of the surface generated by revolving x= 4/9 - y,0sys about the y-axis. 16 x=49-v 12

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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: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

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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: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: Find the center of mass of a thin plate of density δ = 3 bounded by the lines x = 0, y = x, and the…

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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: Find the moment of inertia of the solid formed by revolving about oy the area bounded by y2 = 2x and…

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Q: Find the surface area of volume generated when the curve y=.5(x^2+1) from x=0 to x=1 revolves around…

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Q: Find the moment of inertia of the solid formed by revolving about oy the area bounded by * y2 = 2x…

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Q: Find the surface area cut from the cone 2x2 + 2y2 = 5z2, z &gt; 0, by the cylinder x2 + y2 = 2y

A: To find the surface area cut from the cone 2x2 + 2y2 = 5z2, z &gt; 0, by the cylinder x2 + y2 = 2y

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

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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 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 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 for the solid of revolutic -1< x<1 about the x-axis.

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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: Find the moment of inertia of the solid formed by revolving about oy the area bounded by y2 : = 2x…

A: The solution are next step

Q: Find the area of the surface generated by revolving the curve about the indicated axis. 1) y = √4x -…

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Q: Find an integral for the area of the surface obtained by rotating y = √25-x, 9 ≤x≤ 16, about the…

A: To find an integral for the area of the surface obtained by rotating the below equation about the…

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

A: Let's find.

Q: Find the surface area generated by rotating the curve f(x) = 6 – 2x, 1 < x < 3, about the x-axis.

A: We first find the derivative of the given function

Q: Find the area of the surface generated by revolving the curve about the indicated axis. SET UP ONLY…

A: The area of the surface generated by revolving the curve around the y axis can be given as:…

Q: Compute the surface area of revolution about the x-axis over the interval [3, 5] for y = 2x + 4.

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Q: Find the volume of the solid formed by revolving the curve defined by 9x²+4y²=36 about the line…

A: Given, The volume for solid revolution between the curves and around the on interval [0,1] The…

Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2).…

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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 rotating x = 3t2, y = 2t3, 0sts 3 about the y-axis.

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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 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: 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: 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: 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 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 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…

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

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Q: Find the surface area generated by rotating y=(1/3)x^3 bounded by y=0 , x=0 , and x=9 about the the…

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