Find the surface area of the solid gained by revolving the curve 0 < x < 14, about the x – axis. 14'

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: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2…

A: We need to calculate the volume.

Q: Solve for the moment of inertia with respect to the y-axis for the area bounded by the curves, y? =…

A: follow next step

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

A: answer is mentioned below

Q: 8. Find the volume of the solid generated by revolving the region enclosed by y = 2 sinx and y = 0…

A: Use the cylindrical method to determine the volume of the region. Substitute the function and limits…

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 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: Compute the surface area of revolution of y=sinxy=sin⁡x about the x-axis over the interval [0,7π]

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given:      fx=7sinx2 interval 0,π4 Volume of solid using cylindrical shell method is…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: • This is a problem based on the applications of definite integral.  First we have to identify the…

Q: Find the surface area of revolution generated by revolving the curve y= (3x)5 over about the y…

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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: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the…

A: For rotation about Y axis, the graph will be as shown,

Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

A: Since for sec2x , M is undefined

Q: Calculate the volume of the solid formed when the area shown below enclosed by the curve y = Vx, the…

A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

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

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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: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

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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: 6) consider the area between the X-axis and the curve y= Sin2x for O< Xs#/2. when this area is…

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Q: Find the volume of the solid generated by revolving about the y-axis the region under the curve y =…

A: The equation of the curve: y=4e-2x ⇒y4=e-2x⇒lny4=-2x             [Taking natural log (ln) on both…

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

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Q: Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis.…

A: Below is the solution:-

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: Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³…

A: A detailed solution is given below.

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: 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 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: b) Find the surface area of the region under the curve 2/3 2/3 =1 by revolving about x-axis. a

A: b We have to find the surface area of the the region under the curve xa23+ya23=1by revolving about…

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 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 y = 2 sin(4x) over the interval 0 <I<

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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: 7) Find the area of the surface that is formed by revolving the function y = 2 x on the interval %3D…

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Q: Find the area enclosed by the closed curve obtained by the joining the spiral r=4θ by a straight…

A: Given that, the value of r=4θ and θ∈0,1.7. It is known that, the formula for the area of the…

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

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Q: The area under the curve 4y2 =" (x2 + 1)3 was rotated about a line located to the left of y – axis…

A: The surface area of the solid can be obtained using the Pappus theorem. The surface area is…

Q: Find the area of the surface formed by revolving the graph of y = 2Vx on the interval [0, 14] about…

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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 y-axis of y = 12 – 3x? over the interval 0 < x < 2.

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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 center of mass of a thin plate of constantdensity d covering the given region. The region…

A: Find the area of the thin plate, it is equal to the area enclosed by cos(x) and x-axis over the…