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

Q: Write an integral for the area of the surface generated by revolving the curve y = cos(4x) about the…

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

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Q: where y=f(x), 8y^2 = x^2-x^4 , of the curve segment X-axis write the surface area of ​​the rotating…

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Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

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

A: y=x3then x=y3 area of the surface=∫12xddy=∫12y3dy=y4412

Q: Set up an integral to find the area of the surface that is obtained by rotating the curve y = V4 –…

A: Here, y=4-x2, 0≤x≤1 is positive and has continuous derivative on 0≤x≤1. So, the surface area of…

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 area bounded by the curve x = sin 2y - cos 2y , the lines y = and y = T ano the y-axis.

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Q: compute the surface area of revolution about the x-axis over the interval. y= x3, [0, 2]

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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: Find the surface area of volume generated when the curve y=.5(x^2+1) from x=0 to x=1 revolves around…

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Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,3π]. Surface…

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Q: Find the surface area for the solid of revolutic -1< x<1 about the x-axis.

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

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Q: Find the surface area of revolution about the x-axis of y 4x +7 over the interval 0 < r<3

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Q: Find the area under one arch of the cycloid x = a(t-sint) , y = a(1-cost)

A: Introduction: A cycloid is a two-dimensional curve that is constructed with half circles. One arc of…

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

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Q: Write an integral for the area of the surface generated by revolvingthe curve y = cos x, -π/2 ≤ x…

A: Given data: The equation of a curve is: y=cosx. The limit of x is: .   The expression for the…

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

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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: 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: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying…

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve…

Q: The base of a lamp is constructed by revolving a quarter circle  y = (2x-x^2)^0.5  around the…

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Q: Find the surface area of revolution about the x-axis of  y= 4sin(4x), from x is greater than or…

A: Equation of curve is y= 4sin(4x) The interval is 0≤x≤π2

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: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

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Q: compute the surface area of revolution about the x-axis over the interval

A: The given function is

Q: Find the area of the surface resulting from rotating the curve given by y=(1/4) x2 - (1/2) ln⁡x,…

A: you can clearly understand if you follow the below solution

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: Evaluate the definite integral that represents 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 = 2 sin(2x) over the interval 0 ≤ x ≤ KIN

A: When a cut= when a curve y=f(x)  a≤x≤b  rotate about x axis then surface area of rotation Ax=∫ab2πy…

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 of revolution about the x-axis of y = 2 sin(4x) over the interval 0 <I<

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Q: Find the area of the region bounded below by the x-axis and above by the curve æ = 4 sin (0), Y = <…

A: The graph of a set of parametric equations can be obtained by finding the rectangular form of the…

Q: Find the surface area of revolution about the x-axis of y 7x + 7 over the interval 0 < a < 3

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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: 6. Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Find the surface area of revolution about the y-axis of y = 5x + 1 over the interval 0 < x < 3

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Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

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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…

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

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Q: Find the area of the surface generated by revolving the graph of f(x) := sin x about the x-axis from…

A: Given: fx=sinx0≤x≤π2 It is required to find the area of surface of the curve when it is revolved…