find the area of the surface generated when the given is revolved about the given axis y = 8√x, for 9 ≤ x ≤ 20 ; about the x − axis y = √1 − x^2", for −1/2 ≤ x ≤ 1/2 ; about the x − ax

Q: Find the area of the surface x2 - 2 ln x + sqrt(15)y - z = 0 above the square R: 1<=x <= 2,…

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Q: Find the surface area formed when the curve f(x)=x^3 between x=1 & x=3 is rotated around the x-axis

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Q: Upon the release of the new Pac-Man movie, Pac-Man: Integral Adventure II, Midway has decided to…

A: Solid generated by rotating a bounded region, we use the circular disc method to evaluation of…

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

A: Answer

Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and ,x=-2 and x=5?…

A: The area of the region enclosed by the given curves has been obtained below.

Q: Let S be the shape obtained by rotating f(x) = 2 /x +1 on the interval [1, 3] around the x-axis.…

A: Given :fx = 2x+1

Q: The area bounded by the parabolas (x − 2)^2 − 9py=0 and y^2=9p(x−2) is to be revolved around x = 2.…

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Q: compute the area of the surface formed when f(x) = x3 between 1 and 3 is rotated around the x axis

A: Solving

Q: Find the volume of the solid formed when the area of the region bounded by the curves x2- 3y=8 and…

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Q: The area bounded by the curve x = 5y + 8, the y-axis and the abscissas y = 0 and %3D y = 2 is

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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=5x+7 over the interval 0≤x≤3

A: S=∫2πydsds=1+dydx2

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 of the region bounded by the curves y = y = -x² + 4x. 9/4 11/3 12/15 8/3 none of the…

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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: 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 Area of a Surface of Revolution. y= (x3/6)+(1/2x), 1≤x≤2

A: Given y=f(x)=x36+12x,   1≤x≤2

Q: Find the area of the region enclosed between the curves defined by the equations y = x² – 2x + 2 and…

A: Solve the following

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: 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 in two ways the area bounded by the parabola y=x^2, the y-axis, and the lines y=1, y=4

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Q: 2. Find the area enclosed between the curves y =x² +2x +11 and y =-4x+2.

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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: 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 volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 51 and the upper cone z2 = 3x2…

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

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Q: Find the surface area of revolution about the x-axis of y=7x+1 over the interval 1 ≤ x ≤ 3

A: The given equation is y=7x+1 over the interval 1≤x≤3. Calculate the surface area of revolution about…

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: Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 223 is…

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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: 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 region cut from the plane x + 2y + 2z = 5 by the cylinder whose walls are 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…

A:

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

A:

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 solid of revolution that results when the region under the graph of f(x) = xvsin x for 0< x…

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

A: find the area of the surface  generated by revolvigx=44-y, 0≤y≤154about y-axis

Q: Find the area of the region enclosed by the line y = 2x + 4 and the parabola y = 4 - x2 in the…

A: The diagrammatic representation of the area is,

Q: Determine the surface area of the part of z = 13 - 4x2 - 4y2 that is above z = 1 with x <1 and y <0.…

A: Surface area:- The total area of all the faces of a three-dimensional object is its surface area. We…

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: An integral expression for the area of the surface generated by rotating the line segment joining…

A: We have to to write in integral form

Q: Find the surface area of revolution about the x-axis of y = 2x + 6 over the interval 2 < x < 5

A:

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

A:

Q: Find the surface area of the curve f (x) = x over [1,2| rotated .3 3 about the – axis -

A: The revolution of the curve y = f(x) around the x-axis is: S=2π∫abf(x)(f'(x))2+1dx

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

A: