12. Find the area of the surface generated when the curve y =+,on [1,2] is rotated about the x-axis.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 2 6. 1 + 2x…

A: The surface is obtained by rotating the curve about x-axis.y=x36+12x, 12≤x≤1

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

A:

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

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: Find the area of the surface generated by e + e -y revolving the curve x = 2 0sys In 6 about the…

A: To find the surface area generated by revolving the curve x=ey+e-y2,0≤y≤ln6 about the x-axis. We…

Q: 2) Find the exact area of the surface obtained by rotating the curve about the x-axis. y = /1 + 4x,…

A: We can use the application of integration in order to solve the given problem.

Q: The area of the surface obtained by rotating the curve x = 1sys7 about the x-axis is

A: Definition used -              Area of the surface obtained by rotating the curve x=g(y) about…

Q: 3. (8.3) find the area of the surface obtained by rotating the curve y = v4- x2, -1<x < I about the…

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

A:

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

A: Given  y =x3 ,  0 ≤ x ≤2The area under a curve is the area between a curve f(x)and the x-axis on an…

Q: 7. Find the area of the surfaces generated by revolving the curve r = 2e®² for 0<0s- about x- axis.

A: The solution are next step..

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

A:

Q: 1. Find by integration the area of the surface of revolution generated by revolving the loop about…

A:

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

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: .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: 6. Find the area of the surface generated by revolving the curve y = x² + 2 from x = 1 to x = 2…

A:

Q: 3. Find the area of the surface generated by revolving the curve = 2/1- y (-1 < y < 0) X about the…

A:

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = V3x +5…

A: Surface area of the bounded region along x axis

Q: 1 Find the area of the surface obtained by rotating the curve y = 6. 1 <x < 1. about the x-axis 2x

A:

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

A:

Q: 5. Evaluate the double integral (2x – y) dA where D is bounded by the circle with the origin as its…

A:

Q: 5- Find the area of the surface generated by revolving the curve X= (y*/4) +1/ (8y²),1<y <2 ,about…

A: Given:function: x=y44+18y2Interval: 1≤y≤2To find : Area of surface generated by revolving the curve…

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

A:

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: Find the area of the surface generated when the given curve is revolved about the x-axis. y = V3x +…

A:

Q: 1. Find the surface area generated by rotating the curve y = /2x + 4 about the x-axis for x = 2 to x…

A:

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

A:

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

A:

Q: Find the area of the surface generated when the curve f(x) = (2/3)x^(3/2) - (1/2)x^(1/2) ; [1,9] is…

A: Given:

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 area of the surface generated when the curve y = V5x - x2 for 1 <r<4 volved about the…

A:

Q: Find the area of the surface generated by e +e -y eY + e -y in the X= revolving the curve x= -In 3…

A:

Q: 3. Find the exact area of the surface resulting from rotating y = v1 + e* from x = 0 to x = 1 about…

A:

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = 3x + 5…

A:

Q: 6. Find the exact area of the surface obtained by rotating the curve, y = x³, 0 < x < 2, about the…

A:

Q: Find the points on surface z^2=xy+4 closest to origin.

A:

Q: 1.Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 4 - x, 1…

A:

Q: - Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x²…

A:

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

A:

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

A:

Q: 1 (#3) Find the surface area for y = 3 on [0, 3] rotating on the x- axis.

A: Given an equation of a curve, The solid will form by rotating the curve about the x-axis.

Q: Find the area of the surface obtained by rotating the curve y =÷x/2 – x³/2 for 0 < x < around the…

A: We find dy/dx using power rule

Q: 4) The area of the surface generated by revolving x=y²-1, 1≤ y≤ 2 about x-axis is S=.

A:

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

A:

Q: ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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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: 3) Find the area of the surface that results from rotating the curve Y = sin X, 0<X< 1 about the X…

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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…

A:

Q: 1. (a) Find the exact area of the surface obtained by rotating the curve y = e* about the x-axis…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2, 1 s…

A: