ind the exact area of the surface obtained by rotating the curve about the x y = y1+ ex, OsxS8

Q: HW: Find the area of the surface generaled by revolving 3. x = y3, 0 sy s1 about y-axis.

A: Given  x=y3

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

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

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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: nhuille Find the area of the rotaional L'C surface formed by rotating the part of the Curve given by…

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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: x = 3t – t, y = 3t2, 0<t< 1

A:

Q: Compute the surface area of the surface generated by revolving the curve c(t) = (t², t) about the…

A: Let x=f(t) , y=g(t) , a≤t≤b be a parametric curve. Then the area of surface generated by revolving…

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

Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from 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. Round your…

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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 that is generated by revolving the portion of the curve y= X between x=…

A: We can solve as follows

Q: y? - In(Vy), 1sys 5 about the x-axis is The area of the surface obtained by rotating the curve x =

A: Solve the following

Q: Q4:B/ Find the area of the surface generated by rotating the curve y = e", 0 < x<1, about the…

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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 generated by revolving the curve x = 2 cos θ,       y = 2 sin θ,   0 ≤…

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

Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,…

A:

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:…

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: x (t) = 3t – t3 y (t) = 3t2 %3D 0 st< 3

A: It is given that xt=3t-t3, yt=3t2 and 0≤t≤3. The  surface is rotated about the x-axis, thus the…

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: 36. Find the area of the surface generated by revolving the para- metric curve x = cos² 1, y = sin?…

A: Definition used -                               Area of the surface generated by revolving the…

Q: Find the area of the surface generated by revolving the given curve about the indicated axis. 1. x =…

A: Consider two parametric equations and with . Then the area of the surface obtained by rotating…

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…

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 obtained by rotating the given curve about the x-a T x = 5 cos (0), y =…

A:

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

A: The surface area of the curve is given by

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 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: x Inx - Find the area of surface obtained by rotating the curve y= 4 - for 1<x<4 about the x – axis.…

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Q: Find the area of the surface generated by revolving the curve x in the interval 2 Osys In6 about the…

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Q: ind the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + ex, 0 <…

A:

Q: Find the area of the surface generated by revolving the curve x = Vy, over the interval 8 sys 27…

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

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of x2 y? = 1+…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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: Find the surface area generated by rotating the given curve about the y-axis. x = et − t,    y =…

A: Surface area =2π∫abxx'2+(y')2dt

Q: 73. х %3D а сos'0, у%3Dasin'0, 0<0< п/2 0 < 0 < T/2

A: Given information: x=acos3θy=asin3θ0≤θ≤π2

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

A: Given; y=x^2 between x=1 to x=2