Find the volume of the solid obtained by rotating the region bounded by y = 6x?, x = 1, and y = 0, about the a-axis.

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

A: Consider the given functions. x=2-y2 and x=y Put both the functions equal.…

Q: Calculate the volume of the solid obtained by rotating the region bounded by y = x 2 – 4x + 5, x =…

A: Topic - application of integration

Q: Find the volume of the solid obtained by rotating the region bounded by y = 4x“, x = 1, and y = 0,…

A: Calculus Question

Q: Find the volume of the solid obtained by rotating about the x- axis oF the region bounded by y= x ,…

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Q: 26. x = 4 - y, x = 16- y?

A: Given that x=4-y, x=16-y2  To find the volume about line y axis.     Formulas used: Volume of…

Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y = Va, x…

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Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y = Vx, x…

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Q: Find the volume of the solid created by revolving the bounded region created by the graphs of y = Vx…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by x = 0,…

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Q: Find the volume of the solid obtained by revolving the region bounded by y = In x, y = -8, and x = 7…

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Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by…

A: We have to find the volume of the solid obtained by rotating the region bounded by y=5sqrt(x), x=0,…

Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y = VT, x…

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Q: Find the volume of the solid obtained by rotating the regionbounded by y = x 3 , y = 8 ,and x = 0…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x²…

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

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Q: Find the volume of the solid of revolution obtained by rotating the region bounded by the graphs of…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x°, y = 0, and x = 1…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -3 + y² and x = -2y…

A: Given the curve is x=-3+y2, x=-2y Outer radius=-3+y2+9=y2+6 inner radius=-2y+9 Intersection point is…

Q: Find the volume of the solid obtained by rotating the region bounded by y=7x^2, x=1, and y=0,…

A: Given:-     y=7x2                   x=1                   y=0         about x‐axis. ∴volume v=∫ab…

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: Find the volume of the solid generated when the region bounded by y = 9x and y = 36/x is revolved…

A: The given curves fx=36xgx=9x Solving the above equation 36x=9x362x-81x2=0x362-81x=0x=0, 16

Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by…

A: We have to find the volume of the solid obtained by rotating the region bounded by y=2sqrt(x) ,x=0…

Q: Find the volume of the solid generated by revolving the region bounded by y=sqrt x, y=-1/2x+4, x=0,…

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Q: Find the volume of the solid generated when the region bounded by y= 9x and y 27x is revolved about…

A: Given curves are y=9x   ....1 and y=27x  ...2

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

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Q: Find the volume of the solid generated by revolving the region bounded by y = x² + 1, y = x + 3…

A: Given that,  y = x2 + 1y = x + 3 The Axis of rotation = X-axis In the Disk/Washer method strip is…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu…

A: We have to find volume

Q: Find the volume of the solid generated when the region bounded by y = 5x and y= 15√√x is revolved…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = = 1, and y = 0,…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x?, x = 1, and y = 0,…

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

A: the calculation follows as:

Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-4x+5,x=4 , and…

A: volume of the solid of revolution about x axis of a curve y=fx, from x = a to x = b is given by…

Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=8, and x=0 about…

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Q: Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y =…

A: According to the Q&A guideline, only the first question can be solved. Please repost rest…

Q: Find the volume of the solid obtained by revolving the region bounded by y = x², y = (x – 6)², and…

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Q: Find the volume of the solid obtained by rotating the region bounded by Y x2 , y = 0, and = x = 4,…

A: find the volume by using shell method. The Shell Method:-                                      If R…

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

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x2, x = 4, x = 5, and y…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 4x², x = 1, and y = 0,…

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Q: = 3, Find the volume of the solid obtained by rotating the region bounded by y = x , y = 0, and a =…

A: In this question we have to just find the volume generated by rotation.

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 of the solid generated by revolving the region bounded by the graphs of y = x3 , x =…

A: Topic = Application of integration

Q: Find the volume of the solid whose base is the region bonded by y=x^2 and y= 1-x^2 and whose cross…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = elx + 3, y = 0, x = 0, x…

A: Plot the curves and find the enclosed region. The shaded region represents the enclosed region.

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

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Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y=6(x^2),…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x5,…

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

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

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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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