Find the area of the surface generated by revolving x =t+ 6, y= + V6t+3, - 6 sts v6 about the y-axis. 2 The surface area obtained by revolving the given curve around the y-axis is (Type an exact answer in terms of r.)

Q: a) Calculate the arc-length of the curve y = In(1 – x²), between 0 <x< 1/2. %3D b) Find the area of…

A: Find the Arc length and surface area

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A: Putting the formula of surface area we have

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = e' - t, y = 4e/2,…

A: *to find:- surface area, when rotating about y axis.

Q: Which of the following is the surface area of the surface generated by revolving the curve y = in…

A: We have to find

Q: Which of the following is the surface area of the surface generated by revolving the curve y = in…

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Q: Given the curve x = a² - y² over the interval 0 ≤ y ≤ a/2, find the surface area of the solid formed…

A: Solution is given below:

Q: HW: Find the area of the surface generaled by revolving 1. Vy, 1 <y <8 about the x- axis. =DX

A: Find the attachment

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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: Find the area of the surface generated by revolving the curve 6a ay y + 3a from y= a to y= 3a about…

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Q: c) Find the surface area generated by rotating the curve y = (x²+2)³/2, 0≤x≤3 about the y-axis.

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

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Q: Find the area of the surface generated by revolving the curve 6a² xy = y + 3a from y= a to y = 3a…

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Q: Find the area of the surface generated by revolving the curve x = a cos θ,       y = b sin θ, 0 ≤ θ…

A: The curves x=acosθ,y=asinθ, and 0≤θ≤2π, we have to find the area of the surface generated by…

Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +…

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Q: Find the area of the surface generated by revolving the curve y = cos(x), 0 < x<: about the r- axis.

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Q: . Find the area of the surface obtained by rotating y = S, Vs² – 1 ds, 1 < x < 2 about the y-axis.

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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: Find the area of the surface generated by revolving the curve                             x = 4t, y…

A: If x = f(t), y = g(t) then surface area is 1) About x axis: A=2π∫abydxdt2+dydt2dt 2) About y axis:…

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Q: Under what conditions can you find the area of the surface generatedby revolving a curve x = ƒ(t), y…

A: Given information,x=fty=gt; a≤t≤b To get the area of the surface generated by the curve about…

Q: a) Find the surface area of the object obtained by rotating x = e2y , –1 <y <1 about the y – axis.

A: We have to find the surface area of the solid obtained by rotating the curve x=e2y about the y-…

Q: find the exact area of the surface obtained by rotating x=t^3,y=t^2, 0&lt;t&lt;1 about the x-axis.

A: y=t^2 so t= sqrt(y)x=t^3= (sqrt(y))^3 = y^(3/2)x=y^(3/2) (graphed this equation)

Q: Find the surface area of the surface generated by rotating y = cos x, 0 ≤ x ≤ π/2, about the x-axis.

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Q: Find the area of the surface obtained by rotating the given curve about x-axis. x=cos (t),…

A: We have to find the area of the surface obtained by rotating the given curve about the x-axis. x=cos…

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Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: Given b x=y3, 0≤y≤2c x=9-y2, -2≤y≤2

Q: Find the area of the surface generated by revolving the given curve about the y-axis from y = 0 to y…

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Q: 4: Show yor work. a) | 1: Find the exact area of the surface obtained by rotating the curve y? +x…

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Q: Find the surface area of the surface resulting from revolving the cu y=x+2 on the interval [0,1]…

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Q: * = -. y = 4 y = 4, 0 < t < 1 0 <t < 1

A: Given curve is x=4t−43t3 and y=4t2, 0≤t≤1. We have to find the area of the surface obtained by…

Q: 32. Find the area of the surface generated by rotating the portion of the curve y-2 from x= 0 to x =…

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

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

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

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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: Compute the surface area of the cone generated by revolving the curve c(1) = (1, mt) about the…

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Q: Evaluate the area of the surface generated by revolving the curve y = 2/a, from x = 0 to x = 3. y -…

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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 area of the surface generated by revolving the line x = y from x= 0 to x=2 about the y-axis:…

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Q: need ASAP B. Find the area of the portion of the cylindrical surface y = 4 − x2 in the first…

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Q: Find the exact area of the surface obtained x=t°, y =t 0<t<lby rotating about the x- аxis.

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