The area of the surface obtained by rotating the curve y = et +e asxsb, about the x-axis is 1/2 e2 + e 2 dx 2 dx e2 + e2 + e 2 dx (e7 +e z) dx 2* е 2 +e

Q: A curve C is the boundary of a shaded region D which defined by y = 2x-4 and y = 2x in…

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Q: 3. Find the area of the surface generated by revolving about the y-axis the part of the curve y = x?…

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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: Find the area of the surface generated by revolving the curve a. y = V1+ e* between x = 0 and x = 1…

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Q: Determine which of the following gives the area of the surface obtained by revolving the curve y =…

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Q: The surface area of the surface generated by revolving y=x^3 , 0<=x<=1 about the x-axis is

A: We have to find the surface area of the region generated by y=x^3, 0&lt;=x&lt;=1 about the x-axis. I…

Q: 16 The area under the curve 4y? (x2 + 1)3 was rotated about a line located to the left 9 of y – axis…

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Q: Find the area of the surface generated revolving the given curve about the y-axis. 1. X=y^3 , 0 is…

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Q: Find a center of mass of a thin plate of density 8 = 2 bounded by the lines y = x and x = 0 and the…

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = sec about 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: Sketch the region enclosed by the curves and find its area. 1 ¤ = 0, y = 1, y= e³ x = - NOTE: Enter…

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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 the curve about the indicated axis. y = V, 0,5 s…

A: First I have written the formula of are of surface of revolution about y axis on an interval, just…

Q: The surface area of the surface generated by revolving y=1-x² for 0<x<1 about the x- axis is s=…

A: If you like the solution then please give it a thumbs up.... The Answer is:              S =…

Q: Find the area of the surface formed by revolving the circle r = f (0) cos 0 about the line θ = π/2.…

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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 surface area of the solid generated by rotating the curve y = x² about the y-axis over the…

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Q: iii) Set up an integral for the area of the surface generated by rotating the curve about the…

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Q: Determine the area of the surface generated by revolving these curves (show your working out) a)…

A: Determine the area of the surface generated by revolving these curves (show your working out)

Q: 3. Find the length of the curve y = x – In x, 1<x < 4. 1. Find the area of the surface obtained by…

A: The solution is given as follows

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

A: The curve is x2+y2=82

Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

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

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Q: 66. x = e' - t, y=4e"², 0 <t<1 %3D

A: Consider the given curve: x=et-t, y=4et2,   0≤t≤1 Here, the objective is to find the surface area…

Q: Find the moment of inertia with respect to the y-axis for a flat plate covering the region bounded…

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Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: Find the area of the surface generated by revolving x = e'cost, y = e'sint, 0 <t < about the x-axis,…

A: We’ll first need the derivatives of the parametric equations:

Q: The area of the surface obtained by rotating the curve y = -+ X°, 1sx< e about the line x = 24 is x3…

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Q: 8) Find the area of the surface generated by rotating about the x-axis the arc of the curve y x…

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Q: Find the area of the surface that is obtained by rotating the graph of X = 1+ Y² (Y = 1 to Y= 2)…

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Q: (b) Find the area of the surface obtained by rotating the region bounded by the curves 7 35xy 5y12+…

A: To find the area of the surface obtained by rotating the region bounded by the below curves about…

Q: Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

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Q: Determine the area of the region bounded by the parametric curve x=t^2/5, y=t^6−2t^4, t≥0 and the x…

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Q: The area of the surface generated by rotating the curve y = 2 + e*, where 1 < x < 2, about the…

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Q: Find the area of the surface generated revolving the given curve about the x-axis. 1. Y=3√y , 1 is…

A: 1.we have given  x=3y 1 is less than equals to y is less than equals to 8  surface…

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

A: Consider the graph of the function given in the question: Here we have: The formulae that will…

Q: 7) Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y = 2x,…

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Q: Express the area of the surface obtained by rotating the curve y =In sec(2x) between x = 0 and x =…

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. x=…

A: The area of the surface obtained by rotating the curve about x-axis is given by the formula…

Q: Determine which of the following gives the area of the surface obtained by revolving the curve y =…

A: This question is related to surface area. We will solve this question by using formula of surface…

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

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

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Q: 3. Find the area of the surface generated by revolving the curve about the given axis: x = g(y) =…

A: ds= sqrt(1+(dx/dy)^2)

Q: The surface area obtained by rotating the parametric curve X= e° + e=t, y= 5-2t about the y-axis…

A: We need to find the derivatives of x and y with respect to t dxdt =d et + e-tdt = et  - e-t dydt =…

Q: Find the area of the surface obtained by rotating the curve y = ln(1 — x2), 0 ≤ x ≤ 1/2 about the…

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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: Express the area of the surface obtained by rotating the curve y=in cse(2x) between x= and x= about…

A: surface area about y axis S=∫ab2πxds ....(1) where  ds=1+(dydx)2dx