Find the surface area obtained by rotating y = V9 – x2 ,-2sxs-1 9– x² -2sxs-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 generated by revolving the curve = V¤ + 3, 4 < y <7

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Q: Find the surface area of the object obtained by rotating y = 1 +. 8x2 , 2<x 3 about the x-axis. 4

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

A: Explanation and solution is given below....

Q: Find the surface area of the portion of the sphere generated by revolving the curve y = 1- x, 0 <xs;…

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Q: * = Vy +5,

A: We have to evaluate the area of the surface generated by revolving the curve  x=y+5 between the…

Q: Evaluate (x + 2y) dA, where R is the region bounded by the parabolas y = 2x² and y = 1 + r?.

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Q: Find the area of the surface generated by revolving the curve y = Vx + 3, 4 < y <7 around the…

A: We have to find area of the surface . Given y=x3+3                                 4≤y≤7

Q: Find the surface area for x=3( θ – sin θ ) , y= 3(1-cos θ ). , when rotated along the x axis.

A: Given x=3θ-sin θ,  y=31-cos θ  The surface area is rotated along the x-axis. Then y=0, 31-cos…

Q: Find the surface area of the solid that is obtained by rotating the graph of y = f (x) about the…

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Q: Find the surface area of the portion of the sphere generated by revolving the curve y = 1- x², 0sis…

A: y=1-x2,  0≤x≤12 Differentiating with respect to x, we get dydx=121-x2·0-2x=-x1-x2

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 area of the surface generated by revolving the curve y = sqrt(x2 + 2), 0…

A: find dy/dx and solve for ds.

Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: The area of the surface obtained by rotating the curve y = V9-x2, -1sxs1 about the x-axis is mit…

A: Use formula of surface area about x axis

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

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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: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x-axis. A…

A: Area of surface generated by rotating a curve y=f(x) from x=a to x=b about x-axis  A=∫ab2πydsWhere…

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: Q4(a) Find the area of the surface generated by revolving the curve, x = /6y – y2 ; 2<y<5

A: Given the curvex=6y-y2    , 2≤y≤5we need to find the area by revolving the curve about y axis from…

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 = 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: 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 surface area of the object obtained by rotating y = +÷, 1 1<x<2 about the x-axis.

A: To find the surface area of the object obtained by rotating y=x36+12x ,  1≤x≤2 about x-axis.  Let,…

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

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Q: Find the area of the surface obtained by rotating the curve y = x², 0 < x< 1, about the y axis.

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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 generated by revolving the curve - 5x y = e-b", x > 0 around the -axis.

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Q: Find the area of the upper portion of the cylinder x2 + z2 = 1 that lies between the planes x = ±1/2…

A: Find the area of the upper portion of the cylinder x2 + z2 = 1 thatlies between the planes x = ±1/2…

Q: Find the surface area generated when the given curve x = 9 + 2t2, y = 4t, 0 ≤ t ≤ 2 is rotated about…

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Q: 2. Find the area of the surface generated by revolving the curve r = Vcos 20, 0s0 ST/4. about the y…

A: Surface area generated by revolving the curve 'r' about y-axis = 2π∫αβxr2+(drdθ)2 dθ

Q: (d) Find the area of the surface generated by revolving the curve y = 2a, 0 < x < 3, about the…

A: Part (D) To find the area of the surface generated by revolving the curve, y=2x,0≤x≤3, about the…

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x³ between…

A: Given y=x3 , x=0 , x=1The surface area of revolution of the curve y=fx is given by s=2 ∫ab…

Q: Find the area of the surface when y = vx, from (4, 2) to (9, 3) is rotated about the x-axis.

A: Surface area formula for rotating about x-axis is S=∫2πydS where dS=1+dydx2dx

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 area of the surface generated when y² = 12x is revolved about the x- axis from x = 0 to x =…

A: Given curve,y2 = 12xRevolved about x-axis from x=0 to x=3.

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 area of one side of the “winding wall” standing orthogo-nally on the curve y = x2, 0 &lt;=x…

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Q: Find the area of the surface of revolution generated by revolving C = {(x,y):x = y = 1- 2t, -1sts1}…

A: Given that C=x,y:x=-3+4t3, y=1-2t, -1≤t≤1 about the line x=2. The range of y is,…

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: Find the surface area of the object obtained by rotating x = Vy-6 2sys3 about the y-axis.

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Q: Find the area of surface that is generated by revolving the portion of the curve x = /9 – y? , -2 <…

A: We will find out the surface area of revolution.

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 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 area of the surface resulting from rotating the curve: x=5t−1, y=2t^3, -2≤t≤1, around the…

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Q: Find the area of the surface obtained by rotating the curve y2 = 4x + 4 0<x<8 about the x-axis? %3D

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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 area of the surface obtained by rotating thecircle x2 + y2 = r about the line y =r.

A: We have to find the area of the surface obtained by rotating the circle x2 + y2 = r about the line y…

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3