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

Q: 35. Find the area of the surface generated by revolving the para- metric curve x =1, y = 2r² (0 <t s…

A: Given, x=t,y=t2,0≤t≤1 The area of the surface generated by revolving the parametric curve about the…

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 surface area generated by revolving the curve x=y³²-y about the y-axis for 1≤ys 3/2 1/2 3

A: The surface area of any given object is the area or region occupied by the surface of the object.

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: (b) Use Simpson's Rule with n = 10 to estimate the area of the surface obtained by ro the cosine…

A: I have solved b part as asked.

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

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

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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 surface area of the curve: y In x; 1sx S 2 when the curve is rotated about the y-axis.

A:

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: 4. Evaluate the line integral 6. x²y dx – xy² dy where C consists of the arc of the circle 16 = x² +…

A: Given equation of circle is  x2+y2=16x2+y2=42 radius is 4 We have to calculate line integral ∮ cx2y…

Q: 2. The surface area of the surface generated by revolving the curve y = x, -1 < x<1, about the…

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

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

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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: 5) Determine the area of the surface obtained by rotating the arc y = Vx –1 around the x- axis from…

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

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

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

A: Given, Curve ,y=x33+14x+4 To find : Area of surface generated after revolving the given curve from…

Q: 4. Find the area of the surface obtained by rotating the curve x²/3 + y>/3 = 1, 0 <y<1 about y-axis.

A: If the curve defined by the parametric equations x=x(t), y=y(t)  with a≤t≤b , is rotated about the…

Q: Find the area of the surface generated by revolving about the y-axis the arc C given by C = { (x,y)…

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Q: 8.) Find the area of the surface by revolving the curve about each given axis. 1 x =t3, y = t + 1,…

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

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Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis.…

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Q: Consider the curve y = 3 sin(2x), where 0 < x < n/2. Find the surface area when this curve is…

A: We have given the function; We know the formula for surface area by revolution;

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

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Q: Find the area of the Surface generated by revolving the given curve about the - axis while x is over…

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

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

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

A: Given: The curves,  x =t,  y = 2t2,   0 ≤ t ≤ 1 To find: The area of the surface generated by…

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

A:

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

A: solution is given below...

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

A:

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

A: