Find the volume of the solid obtained by rotating the region bounded by the curve y = sin (7x) and the x-axis, 0 < x < about the y-axis. 7 V

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: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: graph of option (d) is correct. see below the calculation and answer

Q: The region bounded below by the x-axis and above by the portion of y = sinx from x = 0 to x = π is…

A: Consider the given: y=sinxInterval:0,πV=∫0ππy2dxV=∫0ππsinx2dxV=π∫0πsin2xdx

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: The region bounded by the graph of y = x²VIn x and the x-axis on the interval [1, e] is revolved…

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

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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: 5. Evaluate using the circular disk method. Find the volume of the solid formed by revolving the…

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

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

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Q: 3. Find the volume of the solid form by the region bounded by the curves y = =,y = 2-x is revolved…

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

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Q: Q-3 calculate the Volume of the solid obtained by rotating the region bounded by the cerve y= 2X-X2…

A: We will draw a region first.  And volume of revolution can be obtained by Integration

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

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Q: Ris the region bounded above by the graph of f(x) = 3x – x² and below by the x-axis over the…

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

A: Answer is

Q: The base of a solid is the region between the curve y = v2 sin x and the interval 0, T on the…

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Q: The region R bounded by the graph of y= 2sinx and the​ x-axis on (0.pi) is revolved about the line…

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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: The region between the curve y = - csc'x and the line y= - from x= 1 to x = /2 is revolved about the…

A: The given curves are: y=-csc-1x        and       y=-π2    from x=1  to  x=2

Q: Calculate the volume of the solid obtained by rotating the area bounded by f(x) the x(x + 1) X-axis,…

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Q: b) [. obtained curve 1: Find the volume of the solid by rotating the region bounded by the y = -x² +…

A: Solve the following

Q: 9. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx2…

A: The answer is in step 2.

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 region bounded by the given curve is rotated about the specified axis. Find the volume V of the…

A: The given function is a circle with radius 2 and center (2,0).   The volume of the solid generated…

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = 2x – x² and y = 0…

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

A: We have to find the volume of the solid obtained by rotating the region bounded by the given curves…

Q: 8. The area enclosed between y= (x - 3)² + 1, the x-axis, x = 3 and x = 5 is rotated about the line…

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Q: 2. Define R as the region bounded above by the graph of f(x) =3x-x´ and below by the x- axis over…

A: The equation of the curves are : C1: y = 3x-x2C2: y = 0C3: x = 0C4: x = 2 Axis of revolution :…

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: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

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Q: 9. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by 6x x' and y…

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Q: Find the volume of the solid of revolution generated by revolving about the​ x-axis the region under…

A: Answer and explanation is given below..

Q: 38 Find the area of the region bounded by y = sin r,x 0,x = x and the x-axis. If the region is…

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Q: Find the volume of the solid that results when the region enclosed by y = e2", y = 0, x = 0, x = ln…

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Q: The region bounded by the graph of y=Vx+2, the x-axis and the y-axis rotates about the x-axis. Find…

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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: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

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Q: 8. Find the volume of the solid obtained by revolving the region bounded by the graphs of y =-x cos…

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Q: Find the volume of the solid resulting from rotating about the x-axis the region under the curve…

A: At first, we draw the region bounded by the curve and linens. Then rotating the region about the…

Q: R is the region bounded above by the graph of f(x) = 6e-x² and below by the x-axis over the interval…

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Q: Find the volume of the solid that results when the region enclosed by y = e2", y = 0, x = 0, x = ln…

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Q: Find the volume of the resulting solid if the region under the curve y = 6/(x² + 3x + 2) from x = 0…

A: By using disk method we solve the given problem as follows :

Q: 1. Find the volume of the solid formed by revolving the region bounded by the graph of y = 3x + sin°…

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Q: 2. Find the volume of the solid form by the region bounded by the curves y = 16 – x, y = 3x + 12,…

A: Volume of solid is 686.96

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.