Find the surface area of revolution about the y-axis of y = over the interval 0 < a < 2. Enter your answer in terms of T or round to 4 decimal places.

Q: find the area of the region bounded above by the curve y = 2e^-x + x, below by the curve y = e^x/2,…

A: To find the area of the region bounded above by the curve y=2e-x+x, below by the curve y=ex2 on the…

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

A: Given

Q: Find the surface area of revolution about the x-axis of y = 3x + 4 over the interval 1 < x < 2

A: Answer

Q: Find the area enclosed by the x-axis  and the curve x = 1 + et y=  t - t 2

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Q: Find the surface area of revolution about the x-axis of y=3sin(5x)y=3sin(5x) over the interval…

A: I am attaching image so that you understand each and every step.

Q: 15 Find the exact area enclosed between the curve y = v4 – x and the line r-y+2 0.

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Q: Find the surface area of revolution about the y-axis of y= x^2/9  over the interval 0≤x≤6. Enter…

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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: Q/ Find the Surface area generated by revolving y = 1 – x² around the y- ? 0 <x <1 axis, where

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Find the surface area of revolution about the x-axis of y = 7x +7 over the interval 2 <x < 3

A: Given function,     y=f(x)=7x+7, 2≤x≤3f'(x)=dydx=7Here lower limit is 2 and upper limit is 3

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: Find the surface area of revolution about the x- axis of y = 3 sin(5x) over the interval Preview

A: Given curve is y=3in(5x), firstly, we will find dy/dx

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: 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: Q5/ Find the area of the surface generated by revolving y = where 0 <x <2, about the X-axis.

A: Given that the area of the surface generated by revolving y=x39 where 0≤x≤2 about x-axis.

Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 0≤x≤1

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

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Q: Find the surface area of revolution about the x-axis of y = 2x + 7 over the interval 0 <x <1

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Q: 2.) Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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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: Calculate the area between the two curves y = ax³ and y 1.4 and b = 2.4. Give your answer to three…

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Q: Find the area enclosed by the curves y=sin(x), y=cos⁡(x), and the two vertical lines x=0 and x=π/2

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Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: Find the area enclosed by the curve  x = t 2 − 2 t , y = t  and the y-axis. Round to four decimal…

A: To Determine: find the area enclosed by the curve x=t2-2t  ,y=t and the y-axis.Round to four decimal…

Q: Find the surface area of revolution about the x-axis of y = 5 sin(6x) over the interval 0 < x <…

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Q: Find c such that the area between the curves y z2 - c and y c -x is equal to 69. Round your answer…

A: Given that y = x2 - c2 and y = c2 - x2  and area of this 69  We find value of c . Here i attached…

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

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Q: 7) Set up and evaluate the definite integral for the area of the surface generated by revolving y…

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Q: Set up the integral for the surface area of the solid created by revolving y= Vx 1< x <8 about the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the surface area of the volume generated by the curve y = x^3/3 from x = 1 to x = 2 revolved…

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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: 2. Find the surface area when y = 2\x with 1 < x < 3 is rotated around 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: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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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: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: See below the answer and calculation

Q: Find the surface area generated by revolving y=5x+2 about the x axis on the interval [0,6]

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Q: Find the surface area of revolution about the x-axis of 6x +1 over the interval 2 < z < 3

A: Given y=6x+1 over the interval 2≤x≤3

Q: Find the surface area of revolution about the x-axis of y = 2 sin(4x) over the interval 0 <I<

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Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

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Q: Find the integral that represents the surface area obtained by rotating around the x-axis the graph…

A: To find the integral representation for the surface area under the given conditions.

Q: Set up and evaluate the definite integral for the area of surface generated by revolving the curve…

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Q: Compute the surface area of revolution of f (x) (x + 1)z about the x-axis over 3 [0,1]

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Q: Find the surface area of revolution about the x-axis of y = 4 sin(4x) over the interval 0 < x < 4

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Q: Find the surface area of revolution about the x-axis of 3 sin(7x) over the interval 0 < z <

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Q: Find the surface area of revolution about the x-axis of y = 5 sin(4x) c

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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: compute the surface area of revolution about the x-axis over the interval. y = (4 − x2/3)3/2, [0, 8]

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x.

A: Given: y=e-9x and 0, 1 To find the surface of revolution about the x-axis on 0, 1 The formula for…