Determine the surface area generated by revolving the arc 3y= 4x from x=0 to x=3 about the x-axis.

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: Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y…

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Q: Find the area of the surface generated by revolving the semicircle y = √1 − x about the x-axis over…

A: Given that, y=1-x. dydx=121-x-12·-1=-121-x 1+dydx2=1+-121-x2=1+141-x=1+14-4x=4-4x+14-4x=5-4x4-4x

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 80,0 < 0 <…

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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 moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

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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: Find the surface area of revolution about the x-axis of R.

A: Given curve y=2x, 2.3≤x≤4.2 We have to find the surface area of revolution.

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: Determine the surface area generated by revolving the curve y=-x'over the interval 3 [0, 2], about…

A: The surface area of revolution of y=fx over a,b revolved about x-axis is A=2π∫abfxdfdx2+1dx Now, we…

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: Find the volume of the solid generated by revolving the “triangular” region bounded by the x-axis,…

A: Given information:

Q: Find the area of the surface that is generated by revolving the portion of the curve y = v16 – x…

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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: 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: The area bounded by the parabolas y² = 4x and x² = 4y is revolved about the y-axis. Find the moment…

A: The given equation of the parabolas are, y2=4x and x2=4y.

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: Find the moment of inertia with respect to the x-axis of the area bounded by the parabola y2 = 4 and…

A: Solution is given as below:

Q: Find the area of the surface generated by revolving y = Vx +1 from r = 1 to x = 5

A: The objective is to find the area of the surface generated by revolving y=x+1 from x=1 to x=5.

Q: Find the surface area of revolution about the x-axis of y = 3 sin(6x) over the interval 0 <x < -

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Q: Express the arc length of the curve y = x4 between x = 2 and x = 6 as an integral (but do not…

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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: Find the surface area generated by rotating the curve f(x) = 6 – 2x, 1 < x < 3, about the x-axis.

A: We first find the derivative of the given function

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 area of the surface generated by revolving the curve about the indicated axis.   y = x 2/4…

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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 =…

A: Follow the procedure given below.

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: 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: 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 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: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 40,0 ≤ 0 ≤…

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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=0.59…

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

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: 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 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: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

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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 obtained by rotating the curve about the x-axis. y= e*, 0sxs1 Set up…

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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 area of the surface obtained by rotating y = cosh x over [−ln 2, ln 2] around the x-axis.

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

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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…

Q: Find the surface area generated by revolving the parabolic arc y=x² , Osxs6 around y-axis

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

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Q: Find the area of the surface generated by revolving the curve x = Osys2, about the y-axis

A: Given: The curve is x=y32, 0≤y≤2 about the y-axis The formula for find the area of the surface is…