Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane. where -35 ys 3 .... . OLXL2 and ......... ....... ...... 1... .. ......

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: y = 4x3 from x = 0 to x = 6 about the x-axis. The area is

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Q: Find the area of the surface. The portion of the paraboloid  z = 49 − x2 − y2 in the first octant

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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 about the x-axis y=Vx, 0sxs4

A: Please refer to the image below.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V5 - x, 3 <…

A: Definition used -                             Area of the surface obtained by rotating the curve…

Q: Find the area of the surface obtained by rotating the given curve about the indicated line, y=x,…

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Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 =…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= ,…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V8 - x, 25…

A: given, y=8-x  ,2≤x≤8  the graph is

Q: Find the area of the plane x+2y+2z=2 cut out by the cylinder x^2+ y^2=4

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x, 4 <…

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Q: Find the area of the surface obtained by revolving the curve given by y = V/9- x2, where –2 < x < 2,…

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Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the…

A: Let's find.

Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Determine the surface area generated by revolving the line segments about y-axis. 3m 4m 2m 1m 2m 2m…

A: Given , Line segment revolve around y-axis , we have to find surface area of formed shape .

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

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Q: (a) Find the area of the surface generated by the given curve about x-axis y = Vx , 1< x < 4

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Q: Find the exact area of the surface obtained by rotating the curve about the y- axis: y = 3 + 5x?,…

A: Consider the given function and interval. y=3+5x2, 3≤x≤8 If y=f(x) is function and the interval of y…

Q: Find the surface area of the portion of the surface x2- 2 In a+ V15 y - z = 0 above the rectangle 1…

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Q: Find the area of the surface obtained by rotating the parabola 1 y = 0 <x < 2, about the y-axis.

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Q: 2. Find the area of the part of the surface z = cylinder x2 + y² = 9. 3xy that lies within the

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Q: Find the surface area of the frustum y=(8x)^1/3​, for 0≤x≤8​; about the​ y-axis.

A: Given that, y=8x130≤x≤8

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. X₁ 1 y=6 1…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(7-x),…

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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: Find the area of the plane region that lies below the line y = 2x and between the parabolas y= 2x^2…

A: Given Curves are:…

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 generated by revolving the following curve alongthe x-axis: x = 2t3,y =…

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Q: Find the surface area of the cone frustum generated by revolving the line segment y = 4 1 over 1 < x…

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Q: Find the length of the curve y =Vx³, for [0, 4]. Find also the surface area of the region is rotated…

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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: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V7 - x,…

A: To find The exact area of the surface obtained by rotating the curve about X-axis

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 given curve about the x-axis. y = V9 -x,…

A: 3

Q: Find the area of the ellipse cut from the plane z= 3x by the cylinder x + +y? =4

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Q: ind the area of the surface generated when the give curve is revolve about the x-axis    y=(x^3)…

A: Consider the given curve: Here the objective is to determine the area of the surface generated when…

Q: Find the area of the surface obtained by rotating the circle x^2+y^2=r^2 about the line y=2r

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Q: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

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Q: Find the surface area generated by rotating the semi-circle x = (49 – y² be- tween -7 < y < 7 about…

A: To Determine :-  The surface area generated by rotating the semi-circle x = 49 - y2 between -7 ≤y ≤7…

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=…

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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 exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + 5x, 1<…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 12…

A: Consider the curve y=12-3x, 1⩽x⩽3. Surface area of solid when curve is rotated around x-axis is…

Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the…

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Q: Find the area of the surface obtained by rotating the following curve about the x-axis. y=2x3 , 0…

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Q: Find the exact area of the surface obtained by rotating the curve abo = V7 - x, 1<x< 7

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. < =v² + 2)3/2, 3…

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