Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = sin?(x), y 0, 0< x< T; about the x-axis %3D

Q: (9) Find the volume when the region bounded by the curves y= e, x=-1, x=1, and the x-axis is rotated…

A: Given y=ex2, x=-1, x=1 and the x-axis is rotated about the y-axis.

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 5 ln(x)…

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Q: Define Q as the region in the first quadrant bounded by the line a = 6, the graph of v(y) 2y? -, and…

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Q: Q4| Find the volume generated when the area between y = cos x,y = sin x and the y - axis is rotated…

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Q: Soru 2 2-Find the volume of the solid obtained by rotating 50113 the region bounded by y=vx, y=3 and…

A: To find the volume of solid obtained when the region bounded

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 2…

A: The volume is obtained by the equation: V=∫abx-mf(x)-g(x)dx Here  a=0 b=π4 m=2 f(x)=2sinx g(x)=2cosx…

Q: 25. Find the volume generated by revolving about the y-axis the area bounded - the curve x? =…

A: Volume is evaluated by integration πx^2 dy from 0 to 1.

Q: Find the volume generated when the area bounded by the curve y = e, the axes, and x = 2 is to be…

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

A: The graph of the region is as below We have to use the shell method to find the volume of the…

Q: A region bounded by f(x) = 5 – x, y = 1, x = 1, and x = 3 is shown below. Find the volume of the…

A: The function of the curve is fx=5-x, y = 1, x = 1 and x= 3. The graph of the curve is shown above in…

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5…

A: Graph the situation first The shaded area is rotating about the y=-5 line.

Q: Find the volume generated by the function y=Dvx rotating at the x axis, at limits x-0 and y=6. DRAW…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the volume of the solid generated by revolving about the x-axis the region bounded by y = 2 tan…

A: The solid generated by revolving about the x-axis the region bounded by y=2 tan x, y = 0 and  x=-π4…

Q: 4. A solid is obtained by rotating about the x- axis. The curve is given to be as y = 3x² – x3 -…

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Q: √√2₁ y = ¹, y-axis, y=1&y=3; OY

A: Volume of solid obtained by revolving region around y axis is evaluated.

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

A: From the given figure, the volume of solid can be obtained as follows. V=π∫0π2y2 dx=π∫0π2sinx cosx2…

Q: Find the volume of solid generated if the area bounded by each of the following curves is revolved…

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Q: Jrite and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: find the volume if it exists of the infinite solid of revolution formed when the area above the…

A: find the volume if it exists of the infinite solid of revolution formed when the area above the…

Q: Find the volume of the resulting solid if the region under the curve y 9/(x2 + 3x + 2) from = 0 to x…

A: I am solving only part a for the part b post the question again:

Q: 3. Sketch the region R bounded by y = x24 the x - axis and x = 1. Find the volume of the solid…

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Q: The area bounded by the parabola ay = x2 and the line y = b is revolving around the x-axis. Find the…

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Q: The area enclosed between y In (x), the x-axis and x = 3 is rotated about the line x= 3. Calculate…

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 9…

A: We have given

Q: 16. Find the volume of the solid generated by revolving the region bounded by the curve y = x – x²…

A: To find the volume of the solid generated by revolving the region bounded by the curve y=x-x2 and…

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y - axes. If the region is…

A: Introduction: A stable of revolution is a stable parent created with the aid of using rotating a…

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 3 ln(x)…

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Q: II. Find the volume generated by revolving the area enclosed by the curve x2 + y? = 9 about the…

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Q: Q3: Find the volume of the solid generated by revelving the region bounded by the curves: y = secx,…

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Q: (b) The region bounded by the curve y = x² + 1 and the line y = 3 – r is revolved about the r-axis…

A: As per your query the solution of the problem (b) has been provided below.

Q: (b) Find the volume of the resulting solid if the region under the curve 1 from x = 0 to x = 1 is…

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Q: 2. Find the volume of the solid generated by revolving about the y-axis the area bounded by the…

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Q: Q4\ Find the volume generated when the area between y = cos x, y = sin x and the y - axis is rotated…

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Q: (ii) Find the volume generated by revolving the curvey = sin x y = 0 in 0sxSA and ,about the x-axis.

A: Given curve is

Q: Find the volume generated by revolving the region under the graph about the y axi

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Q: The region in the first quadrant bounded by the graph of y sec x, x=, and the axes is rotated 4…

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Q: 4. The region in the first quadrant bounded by the x-axis, the line x = π, and the curve y =…

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Q: 19. Find the volume obtained by rotating f(r) = x(1 – x) around the x-axis. Then find the volume…

A: The given curve is yx=x1-x.To find:aThe volume of solid obtained by rotating about x-axis.bThe…

Q: Find the volume V obtained by rotating the region bounded by the given curves about the specified…

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Q: Find the volume generated by revolving the area under the curve y= e^x from z=0 to x = I (a) about…

A: The given curve is y = ex from x = 0 to x = 1 The graph of the curve is

Q: The region bounded by the curve y = x2 + 1 and the line y = 3 − x is revolved about the x-axis to…

A: Given that : The region bounded by the curve y = x2 + 1 and the line y = 3 − x is revolved about the…

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

A: Volume of the solid by rotating about x axis in the interval [a b] is given below:

Q: Determine the volume generated when the area bounded by the curves y=sin(x) an y=cos(x) from x=0 to…

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Q: The region bounded by the parabola y = x and the line y =in the first quadrant are revolved about…

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Q: Find the volume of the region bounded above by the surtace := 2 sin z cos y and bounded below by the…

A: I have done this problem, please check with your answer.

Q: An area is bounded by x^2 = 8y, y = 3, and the y-axis. This area is located in the first quadrant.…

A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5…

A: Given that        y = 5 sec(x), y= 5 cos(x), 0&lt;=x&lt;=pi/3 ; about y=-5 Here we have to find the…

Q: The region bounded by the graph of y=Vx+1, the x-axis and the y-axis rotates about the axis. Find…

A: Given query is to find the volume of the solid generated.

Q: The area bounded by the curve a²y = x², the x-axis, and the line x = a revolves about 0x. Find the…

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