Q13:- Find the area of the surface generated by revolving the curve r= about x-axis. Q14:- Find the area of the surface generated by revolving the curve r=2acos 0, about у-аxis. Q15:- Find the area inside the curve r= cos 0 and outside r=sin 0.

Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

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Q: the surface area of the surface generated by revolving the curve c(t) = (t, sin(t)) about the x-axis…

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Q: Find the area of the surface swept out by revolving the para- metric curve x = 5 cost + 5t sin t y =…

A: Area under curve.

Q: 3. Find the area of the surface generated from revolving the curve y = x ++4 from x = 1 to x = 2…

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Q: Find the area of the surface generated by revolving the curve y = /2x – x2, from x = 0.25 to x =1.7

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Q: Find the area of the surface obtained by rotating the curve x = 6 cos 0, y = 6 sin³ 0, 0< 0 <n/2 %3D…

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Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

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Q: Q.8 Find the area of the surface generated by revolving the curve x = 9-y. (-25ys2) about the…

A: The solution are next step

Q: Find the area of the surface generated by revolving the curve 1 V1 + eb", 5x 0 < x < 2 around the…

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Q: s. y-- In x 1<X < 4 5. у 2 4

A: Formula for calculating surface area(S): S=∫ab2πyds                              where, ds=1+dydx2…

Q: y = V4-x, -l&xs1 about the x-axis

A: We'll answer the first question since the exact one was specified. Please submit a new question…

Q: (b) Use Simpson's Rule with n = 10 to estimate the area of the surface obtained by ro the cosine…

A: I have solved b part as asked.

Q: 1(b) Find the surface area generated by revolving the portion of the curve y x2 + 1 between x=0 and…

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Q: 4. By revolving the semicircle x = cost, y = sint (0 <t< ) about the x-axis, show that the surface…

A: Equation of semicircle with radius r is x=rcost, y=rsint We know the formula for surface area for…

Q: Find the area of the surface obtained by rotating the curve V5=x' 3 Sx 55 about the x-axis a

A: Here function is, y = (5-x)^(1/2) Since function is positive for the given interval and has a…

Q: Q2 Find the area of surface generated by revolving the curve y=√x+1,1< x≤ 5 about x-axis

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. Find the area of surface that is generated by revolving the portion of the curve x = V16 – y , 0…

A: Given, x= √(16-y) Therefore, f(y)= √(16-y) Differentiating the above equation with respect to y we…

Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

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Q: Where ds is calculated using the are length formulas from before (which ever is easiest)! 3. Find…

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Q: .Find the area of the surface generated from revolving the curve y = x3 ++4 from x = 1 to x = 2…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: 1. Find the area of surface that is generated by revolving the portion of the curve y = V4- r2…

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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: 1.a)Find the area of the surface generated by revolving the curve y=√(121-x^2), −1 ≤ x ≤ 1 about the…

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Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The…

A: We have to find the area of surface.

Q: 3. Find the area of the surface generated from revolving the curve y =x++ 4 from x 1 to x 2 about…

A: Given, Curve ,y=x33+14x+4 To find : Area of surface generated after revolving the given curve from…

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: 8.) Find the area of the surface by revolving the curve about each given axis. 1 x =t3, y = t + 1,…

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Q: 1. Find the surface area of the solid obtained by revolving the curve y = √25-x from = 9 to x = 16…

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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: Find the area of the surface generated by revolving the curve y=−x^3/18​, −2√2≤x≤0​, about the​…

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Q: 2.) Find the exact area of the surface obtained by rotating the curve about the x-axis y= cos(÷x) 0…

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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: Find the area of the surface generated by revolving the curve y=x3/3 from x=0 to x=1 about the…

A: To find the area of surface generated by y=x33 and x=0,x=1 about x-axis A=∫012π·y·dS, dS=1+y'2·dx,…

Q: Find the surface area of the solid gained by revolving the curve 0 < x < 14, about the x – axis. 14'

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Q: 4. Find the area of the surface generated by revolving the curve y = v9 – x², - 2 < x < 2, about the…

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Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V9 -x,…

A: 3

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y=6x, 0≤x≤3

A: Find the surface area generated by revolving the given curve about the x-axis.

Q: Find the area of the surface generated by revolving the curve y = /8x – x² on the interval sa <…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y= square root…

A: The given curve is

Q: Find the exact arc length of the curve 2xy = y² + 4 over the interval 2 ≤ y ≤ 4. Find the area of…

A: Given: 2xy=y2+4 over 2≤y≤4 to find the arc length of the curve and given the another equation is…

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 generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

A: area = ∫06 ydx area = ∫06  x3dx/24 area = [x4/96]60 area = 6*6/96 - 0 area = 3/8

Q: Find the area of the surface generated by revolving the curve y = (1/3) x3 + 1⁄4 x-1 from x = 1 to…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the exact area of the surface generated by revolving the curve y = sinx, over the interval (0 <…

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Q: Find the area of the surface formed by revolving the curve y=x3 from x=1 to x=2 about the x-axis.

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Q: (#2) Find the area of the surface generated by revolving the curve about x-axis for f(x) = 2Vx on…

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Q: Find the area of the surface generated by revolving the curve 1 V1+e*, 5x 0 < x < 2 around the…

A: We can find the area of the the surface as follows

Q: Find the exact area of the surface obtained by rotating the curve about the xx-axis.  y=sin(πx/8),…

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Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = x, 0 < x <…

A: Given that y=x and 0&lt;=x&lt;=3 find the surface area generated by the revolving the given curve…