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

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: 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

A:

Q: Calculate the area of the surface generated when the curve, y = Vx is revolved on the interval [1<…

A: y=x3then x=y3 area of the surface=∫12xddy=∫12y3dy=y4412

Q: * = Vy +5,

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

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: 35. Find the area of the surface generated by revolving the para- metric curve x = 1, y = 21² (0 ≤1…

A: Given parametric curve is , x=t, y=2t2 ( 0≤t≤1 ) So, the required area of the surface generated by…

Q: Find the area of the surface obtained by rotating the curve y : sin x from x = 0 to x = 1.4 about…

A: Given region bounded by y= sinx  from x=0 to x=1.4

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

A:

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: Find the surface area of revolution about the y-axis of y=6x+3 over the interval 0 ≤ x ≤ 3

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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: 1 Find the area of the surface obtained by rotating the curve y = In(1 – x²), 0 < x <. about the

A:

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: Find the area of the surface obtained by revolving the graph of y = √x(4x − 3)/6, 1 ≤ x ≤ 9 about…

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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 by revolving y = Vx +1 from r = 1 to x = 5

A: The objective is to find the area of the surface generated by revolving y=x+1 from x=1 to x=5.

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

A:

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

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: 3. Find the length of the curve y = x – In x, 1<x < 4. 1. Find the area of the surface obtained by…

A: The solution is given as follows

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: 35. Find the area of the surface generated by revolving the para- metric curve x =t, y = 21² (0 <…

A:

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

A:

Q: 5. Find the exact area of the surface obtained by rotating the curve y = V16 x2, -2<*<2 about the…

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 by revolving the curve x in the interval 2 Osys In6 about the…

A:

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

A:

Q: 4. Find the area of surface that is generated by revolving the portion of the curve I = 2/1- y,…

A:

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: 6. Find the area of the surface formed by revolving about the curve defined by y = x2 - x2, 1<x<3…

A:

Q: 2. Find the area of the surface obtained by revolving the curve g(x) = Vx +1 on the interval 0 < x <…

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: 35. Find the area of the surface generated by revolving the para- metric curve x = t, y = 21² (0 < 1…

A: Given: x=t y=2t20≤t≤1

Q: Find the area of the surface generated by revolving the curve x = Vy, over the interval 8 sys 27…

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 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 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: 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: D Find the area of the surface generated by revolving the region bounded by, 1 1 <x < 5 4 8x2 about…

A: In the question we have to find area of the given function.

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

A: To find the area of the surface

Q: Find the surface area of revolution about the y-axis of y = 5x + 1 over the interval 0 < x < 3

A:

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

A:

Q: Find the area of the surface obtained by rotating the given curve about the x-axis. y = v1+ ex, 0 <…

A: Given: The given function is : y=1+ex,  0≤x≤1. To find: We have to find the surface area by rotating…

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…

A:

Q: 2. Find the area of the surface obtained by rotating the curve: y = Vx +1,1<x<5 about the Х-ахis

A: