Find the area of the surface obtained by rotating the curve y = 9x', 0 < x < 10, about the y-axis. (Use symbolic notation and fractions where needed.) surface area:

Q: Compute the surface area of revolution about the x-axis over the interval 0, 1] for y= e (Use…

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Q: Find the area of the surface generated by revolving x= 4/9 - y,0sys about the y-axis. 16 x=49-v 12

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

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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: Compute the surface area of revolution about the x-axis over the interval [0, n] for y = 8 sin(x).…

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Q: Find surface area by revolving curve y=x^3 / 18 , 0 <= x <= 2(sqrt(2)) about the x-axis.

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Q: 5. Find the area of the surface obtained by rotating the curve about the x-axis: x' + 6. 1 <x<1 1 2x

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Q: Find the area of the surface generated by revolving the curve on the indicated interval about the…

A: answer is mentioned below

Q: Find the area of the surface generated by revolving x=√(8y-y2) on the interval 2≤y≤5 about the…

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Q: Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis.…

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Q: The surface area of the surface generated by revolving y=x^3 , 0<=x<=1 about the x-axis is

A: We have to find the surface area of the region generated by y=x^3, 0&lt;=x&lt;=1 about the x-axis. I…

Q: Compute the surface area of revolution about the x-axis over the interval 0,11 for y = e , (Use…

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Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 4x + 4. (Use…

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Q: Find the surface area of revolution about the x-axis of y=5x+7 over the interval 0≤x≤3

A: S=∫2πydsds=1+dydx2

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

A: Solution is given below

Q: 3: Find the volume of the solid generated by revolving the shaded region about the x-axis: and graph…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

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: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-6x. (Use…

A: The surface area formula is given by S=2π∫aby ds.

Q: Using integration, find the exact area of the surface formed by revolving y=5x+3 on the interval [0,…

A: To find The exact area of the surface formed by revolving y=5x+3 on [0,6] about the X-axis

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: Find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π

A: To find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π.

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: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

A: The curve is x2+y2=82

Q: Compute the surface area of revolution about the x-axis over the interval [0, 6] for y = x. (Use…

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Q: 2. Find the area of the region enclosed by the curves (i) (ii) y = sinx, y = cosx and the y-axis. y?…

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A: Explanation of the answer is as follows

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

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Q: Find the surface area of revolution about the x-axis of y=7sin(5x) over the interval 0≤x≤π/5

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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: What is the solid formed when the area bounded by

A: Given: 2x+y=2 The  coordinate axis is revolved about the y axis. To find: What is the solid form.

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 surface area of the solid that results when the region in the first quadrant bounded by the…

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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: Compute the surface area of revolution about the x-axis over the interval [0, r] for y = 3 sin(x).…

A: We need to find surface area.

Q: Compute the surface area of revolution about the x-axis over the interval [0, x] for y = 5 sin(x).…

A: Recall: Area of the surface of revolution about x-axis:    If the curve y=f(x) , a≤x≤b is rotated…

Q: 12. Find the surface area of the solid obtained by rotating about the x-axis for 1sxs3.

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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 x-axis of y= 3sin(5x) over the interval 0 ≤ x ≤ π/5

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Q: Find the surface area of revolution about the x-axis of y=2sin(6x) over the interval 0≤x≤π/6

A: This question is related to area using Integration, we will solve it using the given information.

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

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

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, x] for y = 8 sin(x).…

A: solution:-y=8sinxx∈[0, π]revolution about the x-axissurface area of…

Q: Find the area of the surface obtained by rotating the curve y = ln(1 — x2), 0 ≤ x ≤ 1/2 about the…

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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: Compute the surface area of revolution about the x-axis over the interval [3, 6] for y = 4x + 5.…

A: The equation of the curve is given by y = 4x+5 Formula Used: S = 2π∫36y1+dydx2dx To evaluate: The…