The area of the surface obtained by rotating the curve * = 3t, y = 67 – 4t 5 st s 6. about x-axis is O A. 2307 В. 330л C. 225 7 D.4507 O E. 165 7

Q: Find the surface area generated by revolving the portion of the curve y=x^2+1 between x=1 and x=2…

A: Given that, Curve, y=x2+1   We have to find the Surface Area Generated by revolving the portion of…

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V4 – x, –1…

A: y=4-x2,  -1≤x≤1 Differentiating with respect to x, we get dydx=124-x20-2x=-x4-x2

Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

A:

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = V16 – x²,…

A: The given curve is y=16-x2,   -1≤x≤1. This implies that, dydx=ddx16-x2dydx=1216-x2…

Q: 2. Find the surface area generated by revolving the circle x = cost, y = 1 + sint, 0sts2n over x -…

A: Use formula of area about x axis

Q: Find the surface area of the volume generated when the curve y =x revolves around the y-axis from…

A:

Q: Determine the surface area generated by revolving the curve y=1/3 x³ over the interval (0,2), about…

A: The given curve is y=13x3  on 0, 2. This implies that, dydx=x21+dydx2=1+x41+dydx2=1+x4y1+dydx2=13x3…

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

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Q: The surface area of the surface generated by revolving y =x³ , 0 Sx<1 about the x- axis is

A: Given : y= x3    ,  limit  0 to 1

Q: Find the area of the surface generated by revolving the curve x = Vy, 0<y <4, about the y-axis.

A: We will use standard method.

Q: Q3 Find the Surface area of the solid obtained by revolving the loop of the curve given by, x = t,…

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Q: Find the surface area of revolution about the x-axis of y 7 sin(7z) over the interval 0 <z VI

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 7 y =…

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Q: Find the lateral surface area of the cone generated by revolving the line segment y = x/6, 0 sx s2…

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Q: Determine the moment of inertia of the area bound by the two curves about the x and y axis. y y = x?…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. 1) y = √4x -…

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Q: The surface area of the surface generated by revolving y =x³ , 0<x<1 about the x- axis is Sz0.4296…

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Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

A: Given that, the function is y=secx and the interval is 0,π3. Note that, the formula for the surface…

Q: Find the surface area of revolution about the y-axis of x 36 – y? over the interval 0 < y < 2 -

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Q: Find the surface area of revolution of x=y2 about the y-axis at [0,2]. Graph.

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Q: A right circular cone is generated by revolving the region bounded by y = hx/r, y = h, and x = 0…

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Q: find the area of surface of revolution generated by revolving about the x-axis the arc y…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. 36) y=V4x -…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the area of the surface generated by revolving these curves (show your working out) a)…

A: Determine the area of the surface generated by revolving these curves (show your working out)

Q: Find the volume of the curve r = 2+ 3sinθ for 0 ≤ θ ≤ π rotated about a. x - axis b. y - axis

A: 1st we will derive formula for volume of rotation for polar curve about x and y axis  Using relation…

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: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

A: Follow the procedure given below.

Q: Find the area of the surface obtained by rotating the curve y=sqrt(4x) from x=0 to x=6 about the…

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Q: Find the surface area obtained by rotating x = 3t2, y = 2t3, 0sts 3 about the y-axis.

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Q: Find the surface area obtained by revolving the parabolic arc y2=x from (0, 0) to (9, 3) about the…

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Q: Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³…

A: A detailed solution is given below.

Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59…

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = x, 0 < x <…

A: Given: y=x, 0≤x≤2, curve about the x-axis

Q: Find the area of the surface generated by revolving the given curve about the yy-axis.…

A: Given curve is, x=25-y, -1≤y≤0 Now, differentiating with respect to y we get,…

Q: Calculate

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Q: Find the surface area of the surface of revolution formed by revolving the curve y= 3cosX from X=0…

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Q: Find the area of the surface obtained by rotating the curve about the y-axis. y= x², 0sxs1 Set up…

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Q: Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

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

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Q: find the surface area by rotating the curve about the y-axis; y=x^3 from x=0 to x=2

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 3 7 y…

A: We write x in terms of y first

Q: 2. Determine the area of the surface generated by revolving a given curve about a given axis. a.…

A: Formula to find the surface area by revolution helps to find the required surface area. Formula to…

Q: Find the area of the surface obtained by rotating the curve y = x² - In(x) about the y-axis for 3…

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Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

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Q: Find the surface area of revolution about the y-axis of y = 12 – 3x? over the interval 0 < x < 2.

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Q: Find the area of the surface obtained by rotating the curve y = about y-axis for 1 ≤ y ≤ 3. Area:

A:

Q: 9. Find the area of the surface obtained by rotating the curve y = x',0sxs2 about the x-axis.

A: Given : y = x³, 0≤x≤2 about the x-axis

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

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Q: (b) Find the volume of the solid generated by revolving the region enclosed by the curve y = 6x – x…

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Q: Find the surface area of the curve f (x) = x over [1,2| rotated .3 3 about the – axis -

A: The revolution of the curve y = f(x) around the x-axis is: S=2π∫abf(x)(f'(x))2+1dx