5 st36. about x-axis is The area of the surface obtained by rotating the curve * = 3t, y = 48 – 4t O A. 260T ОВ. 130т ОС 330т O D.40T O E 1657

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

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Q: Compute the surface area of revolution about the ?-axis over the interval [0,?] for ? = 6sin(?).

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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: Q10 Find the area of the surface generated by revolving the region bounded by, 1 13x< 5 y 4 8x2…

A: To find the area of surface generated by revolving the given region and bounds about y-axis we will…

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

A: Consider the equation

Q: Compute the surface area of revolution about the x-axis over the interval [2, 4] for y = 4x + 5.…

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Q: Express the surface area of revolution for: x = (y4/4) + 1/(8y2), 1 ≤ y ≤ 2; x@axis

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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: y = } + sxs1 <x<1 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: Find the surface area generated by revolving y=7x+6 about the x axis on the interval [0,6]

A: We need to find the surface area generated by revolving y=7x+6 about the x axis on the interval…

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: 4. Determine the surface area of the solid obtained by rotating y = v9 – x², -2 <x<2 about the x –…

A: Let's find.

Q: The surface formed by rotating the curve y = Ex 2 1, about the x-axis is known as Gabriel's horn.…

A: the given curve is  take derivative

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: Compute the surface area of revolution about the x-axis over the interval [3, 5] for y = 2x + 4.

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Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 2≤x≤5

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

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Q: Find the surface area of revolution about the y-axis of a 49 – y? over the interval 0 < y < 5

A: x = 49 - y2  Proof:  Let x = f ( y)  revolve about y - axis  Then surface area is given by formula…

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 area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2).…

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Q: Find the surface area generated by revolving Y=(x^3)/6 about the x axis over the interval [0, sqrt6]

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Q: 2. Find the surface area when y = 2\x with 1 < x < 3 is rotated around the x axis.

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

A: In this question we have to find the surface area of the revolution about the x-axis.

Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

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Q: 3. Find the surface area generated by rotating y=- bounded by y=0_ x=0 , and x=9 about the the…

A: Surface area generated by rotating a curve y = f(x) about the x-axis from x = a to x = b is given by…

Q: Find the surface area of revolution about the x-axis of 5z +3 over the interval 1 < z < 2

A: y=5x+3 &amp; given interval 1≤x≤2As we know surface area of revolution abput x-axis from x=a to…

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

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Q: Q2) Find the volume of the solid generated by revolving the "tri- angular" region bounded by the…

A: Washer method: To find the volume enclosed between two functions, the washer method is applied. We…

Q: Compute the surface area of revolution about the x-axis over the interval [8, 5e] for y = x² -…

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Q: 4. Determine the surface area of the solid obtained by rotating y = v9 – x2, -2 < x<2 about the x -…

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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: Compute the surface area of revolution about the x-axis over the interval [0, 2] for y = 2x'. (Use…

A: We know that; The expression for the area of the surface revolution of y=f(x) rotated about the…

Q: Find the moment of inertia of the area bounded by a parabola y?=4(29)x , Osys29, its axis with…

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Q: Find the surface area of revolution about the x-axis of y=4x+1 over the interval 1≤x≤2

A: y=4x+1, 1≤x≤2 Differentiating with respect to x, we get dydx=41+0=4

Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,π].

A: Given data: The expression for the given function is y=sinx. The given interval of x is [a,b]=[0,…

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 generated by revolving the curve y = 3sqrt(x)  between x = 0 and x = 4…

A: Given curve, y=3x x = 0 and x = 4

Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 2x + 5. (Use…

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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 of revolution about the x-axis of y 6x + 3 over the interval 2 < x < 5

A: In the question the curve given is - y=f(x)=6x+3 , 2≤x≤5 We need to find Surface area of revolution…

Q: Use either a CAS or a table of integrals to find the exact area of the surface obtained by rotating…

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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:

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

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