Find the volume of the solid of revolution generated by revolving about the​ x-axis the region under the graph of y=10/√x from x=10 to x=19

Q: The volume of the solid generated by revolving the region by bounded 2 y = x + 1 , x = 2 and the y -…

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Q: Find the volume generated by revolving the region bounded by y=−x^4+3x^3, y=0  revolving about the x…

A: The given problem is to find the volume generated by revolving the region bounded by given curves…

Q: Find the volume of the solid generated by revolving the region by graph of function f(x) 10 ;x 1.25,…

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Q: Determine the volume of the solid formed by revolving the area bounded by y² = 4x and x²= 4y about…

A: It is given that, y2=4x⇒y=2xand4y=x2⇒y=x24   Volume of solid formed by revolving the area bounded by…

Q: . Find the volume of the solid generated by revolving the area bounded by the curve y = In x, the…

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Q: Find the volume of the solid of revolution formed by revolving the region bounded by y = f(x) = 2x -…

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Q: Find the volume of the solid obtained by revolving the region bounded by the graph of f(x) = 8e-lx,…

A: Given the curves: fx=8e-7x, x axis, y axis, x =6rotated about y axis

Q: Compute the volume of the solid obtained by revolving the graph of y =1+x^2/2 on [0,1] about the…

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Q: Find the volume of the solid obtained by rotating the 13 region under the graph of the function f(x)…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: xy = 4, y = x,y = 1; about the x-axis.

A: Find your answer 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 volume of the solid formed by revolving the region bounded by f (x) = 4x – x² and the…

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Q: Find the volume of the solid formed by revolving the region bounded by the graph of x = e−y2 and the…

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Q: Find the volume of the solid generated by revolving the region bounded by the |2x| about the x-axis.…

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

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Q: Find the volume of the solid generated by revolving the region between y = 4 – x2 and y = -x + 2…

A: The given regions are, y=4-x2 and y=-x+2 and the given line is, x=44-x=0 We can write the given…

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

A: We first sketch the region using a graphing calculator.

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -3 + y? and x = -2y…

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Q: Find the volume of the solid generated by revolving about the x-axis, the area bounded by y = x3,…

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Q: To find the volume of the solid generated by revolving the area bounded by the given curve about the…

A: The volume of the solid generated by revolving the area bounded by the curves f(x) and g(x) over the…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given y=cosx2, y=sinx2

Q: Find the volume of the solid of revolution  obtained by revolving the region bounded by y=x-x2 and…

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Q: Find the volume generated by revolving about the line x=0 the area bounded by the curve y^(1/2) =…

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Q: Find the volume of the solid generated by revolving about the x-axis the area bounded by y=√(x), x=4…

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Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the line y…

A: Explained below

Q: Find the volume of the solid generated by revolving the region bounded by y =4(sqrt(sin x))​, y = 0,…

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Q: Find the volume of the solid generated when the area bounded by the curve y^2=x, x-axis and the line…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = sin x + sec…

A: y=sinx+secx,  y=0,  x=0  &  x=π3

Q: find the volume of the solid generated by revolving the shaded region about the given axis.

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Q: Find the volume of the solid generated by revolving about the x-axis the region bounded by the line…

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Q: Find the volume of the solid generated by revolving the region bounded by the x2 -y2 = 9; x+y = 9; x…

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

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Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and…

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Q: y = Vx + 1 + x and the x-axis from x = 0 to x = 3 about the y-axis.

A: When rotating about y axis, we should use shell method to find the volume. The formula for volume is…

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

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Find the volume generated by rotating the region in the first quadrant bounded by y=e^x and the…

A: Answer

Q: Find the volume swept out by revolving the region bounded by the x-axis and one arch of the cycloid…

A: Given:

Q: Find the volume of the solid obtained by rotating the region bounded by x = 8 – y² - and x 2y about…

A: Given the region is bounded by the curves x=2y and x=8-y2 about the line x=9. The curves intersect…

Q: Find the volume swept out by revolving the region bounded by the x-axis and the graph of x = 2t, y =…

A: Given that x = 2t and y = t(2–t). Obtain the interval of integration as follows.

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

A: Solution is given below

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: we have been given the curves y=x and y=x5 we have to generate the volume by revolving the curve…

Q: Find the volume generated by revolving about the line x - 4 = 0 the area bounded by the curve x2 =…

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Q: Find the volume of the solid generated by revolving the unbounded region lying between y = −ln x and…

A: Given that: y=-lnx   and   the   y-axis To sketch the region:

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

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Q: Find the volume of the solid obtained by rotating the region bounded by -6+ y² and x = y about the…

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Q: find the volume of the solid formed by revolving the region bounded by y = sinx and the x-axis from…

A: From the volume of solid formed by rotating the given function y

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.