Find the exact area of the surface obtained by rotating the curve abo = V7 - x, 1

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x² between…

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Q: Find the area of the surface obtained by revolving the curve x=/y+1, for 1<y<, around the y-axis.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis y = v5 – x, 3 <x…

A: Given:- y=√(5-x) , [3, 5] To find:- Area of surface rotating about x axis

Q: Find the area of the surface obtained by rotating the curve y=1+4x2 from x=0 to x=6 about the y-axis

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Q: Find the area of the surface obtained by rotating the curve about the y-axis. x=y^3, 0 less than or…

A: Consider the given curve and draw it,

Q: Find the area of the surface generated by revolving the curve y = 2Va, 0 <x < 3, about the x-axis.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 1 <x < 1 y =…

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Q: B- Find the area of the surface generated by revolving the curve y = √√2-x² about x-axis

A: Introduction:   An object's surface area is the total area that all of its surfaces occupy. The…

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: Find the area of the surface obtained by rotating the curve }=2,3 from z = 0 to z = 1 about the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y=x3,…

A: If the curve y = f(x), a ≤ x ≤ b is revolved about the x-axis, then the area of the resulting…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 y = + /- 2x

A: Given: The equation of the curve y=x36+12x,where  12≤x≤1. Calculation: Compute the surface area as…

Q: Find the exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1/3 ( y2…

A: Given curve is x=13y2+232 over 1 ≤ y ≤ 2. The exact area of the surface obtained by rotating the…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. X = 2 + 3y2, 1 <…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x³, 0 < x <…

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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: The area of the surface obtained by rotating the curve y = V25–x2, -4 < x s 4 about the x-axis is

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Q: Find the area of the surface generated by revolving the curve x =- =t/2,y = 2Vt; 0<t< v3 about the…

A: We solve the problem by using formula of area of surface generated by revolving curves about y axis.…

Q: Find the exact area of the surface obtained by rotatingthe curve about the x-axis. y =√(1+ ex)  ,…

A: Given: y=1+ex , 0≤x≤1 The area of the curve is obtained by rotating the curve f(x) about x-axis…

Q: Find the area of the surface obtained by rotating the curve about the y-axis. x=y', 0sys3

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Q: The area of the surface obtained by rotating the curve y = V16 – x² -1 <x< 1, about the x- axis is

A: The given function is y=16-x2 , -1≤x≤1 rotating the curve about x-axis.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1/3(y2 +…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x3 1 + 2x sxs1 2…

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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: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1/3(y2 +…

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Q: The area of the surface obtained by rotating the curve y = 17 x +1, 0SXS 34 about the x-axis is

A: The solution are next step...

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 + 2x 1 < x< 1…

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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 exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1+ 2y2 ,1…

A: Find the exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1+ 2y2 ,1…

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: The area of the surface obtained by rotating the curve y = V4-x², -2 s xs 2 about the x-axis is

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Q: Find the area of the surface obtained by rotating the curve x = Va – y², 0 < y s about the y-аxis

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Q: Find the exact area of the surface obtained by rotating the curve x = 1/3y3, 0 &lt;= y &lt;= 1,…

A: For rotation about y-axis, the surface area of the curve is given by

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 about each given axis. x = 4t, y = 7t,…

A: x=4t y=7t

Q: . Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2,…

A: We use the formula S=2π integration of y √(1+x'2)dy from 1 to 2

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 + 2x < x < 1 y…

A: Surface area of curve by using integration

Q: Find the area of the surface that is generated by revolving the portion of y=x2 between x=1 and x=2…

A: To the area of the surface that is generated by revolving the portion of y=x2 between x=1 and x=2…

Q: The area of the surface obtained by rotating the curve y = V9-x2, -3 < x < 3 about the x-axis is

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Q: x = 1+ 2y2, 1< x < 2 about the x-axis.

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Q: Find the area of the surface obtained by rotating the curve y=1/3 x3/2, 0≤y≤12  about the y- axis.

A: Let a rectangular strip parallel to x-axis of thickness dy be made whose tip touches the curve…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.  x=1/3(y2 + 2)…

A: The given curve is,

Q: x=y"2 -y², 1<y<3 about the y-axis 3°

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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 x-axis. y = V1 + e*, 0 <…

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Q: The area of the surface obtained by rotating the curve x = y2 - In(Vy), 1sys2 about the x-axis is

A: The given curve is: x=14y2-lny  ;      1≤y≤2 Therefore: dxdy=y2-12y

Q: The exact area of the surface obtained by rotating the following curve 6x = y + 12, 2 < x < 3 about…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 6t, y = 9t,…

A: Here,  we need to find the surface generated by revolving the curve x=6t, y=9t, 0≤t≤3, about each…