Find the volume formed by rotating about the y-axis the region enclosed by: x = 9y and y³ with y > 0

Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves…

A: Given: x=0,y=0,x=1.y=9+x6 about x axis

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 15 – x, y…

A: Please refer the attached image for complete solution.

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 5y and y = x with y…

A: To find the solution

Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

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Q: y = e* – axis. and the x - axis is revolved about the y

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

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Q: Find the volume formed by rotating about the y-axis the region enclosed by x = 7y and y = r with y >…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: 11y and y = x with y>0

A: Given the equation of curves which region formed is rotating about y−axisx=11yy3=x

Q: Find the volume V formed by rotating the region enclosed by the curves. y = and x 9y with y 0; about…

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Q: Find the volume of the solid generated by the revolving the region enclosed by y=(x+1)2, y=-x+5 and…

A: Given y=x+12 , y=-x+5Intersection pointx+12=-x+5⇒x2+2x+1=-x+5⇒x2+3x-4=0⇒x2+4x-x-4=0⇒x+4x-1=0∴ x=1…

Q: Find the volume generated by revolving the area bounded by y=ex, x=0 and y=0 about the y-axis.

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Q: Find the volume of the solid formed by rotating the region enclosed by y = ex + 1, y = 0, x = 0, x =…

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Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

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Q: ) Find the volume formed by rotating the region enclosed by: x = 3y and y = x with y > 0 about the…

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

A: y = x5 y =1  find V = ?   V = π∫(f(x))2dx here we have to find limit of x  here first quadrant given…

Q: Find the volume formed by rotating the region enclosed by: 6.2y and y° = x with y > 0 about the…

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Q: Please show steps.

A: We first graph the region using a graphing calculator.  y=6x (Violet) y=3x2 (green) The shaded…

Q: A solid "dog dish" is obtained by rotating the region bounded by y = 0, y = x', x = 0, and x = 1…

A: Given, y=0,y=x3,x=0,x=1 Graph of the given region is

Q: Determine the volume of the solid generated when the region bounded by the curve y? = x³ and the…

A: Given that, y2 = x3, the x-axis revolved about the x-axis.

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x=3y, and y3=x with y≥0.

A: Given: The curve  x=y and y3=x with y≥0. To find: The volume formed by rotating curves about the…

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y = x with y…

A: To find: The volume formed by rotating about y-axis the region enclosed by x=4y and y3=x with y≥0.…

Q: find the volume generated by rotating the region bounded by the curves x = Vy, x = 0, and y = 8…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = ed" + 4, y = 0, x = 0, x…

A: Formula Used:- Volume of the solid obtained by rotating the region enclosed by y=f(x), the…

Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves…

A: Given curves, y=4x2+4y=0x=0x=2 Formula for the volume of the solid obtained by between the curve…

Q: Find the volume formed by rotating about the y-axis the region enclosed by: 3y and y3 = x with y > 0

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Q: Find the volume formed by rotating the region enclosed by: 5y and y = x with y > 0 about the y-axis…

A: Given Data The first equation is x=5y. The second equation is y3=x.   Equate the given both…

Q: find the volume of the solid generated by revolving the region bounded by the curves…

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Q: Find the volume formed by rotating the region enclosed by: x = 7.8y and y = x with y > 0 about the…

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Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y = 0, y = 7+…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 7y and y^3= x with y…

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Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

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Q: find the volume generated by rotating the region bounded by the curves x = Vỹ, x = 0, and y = 8…

A: given curves are x=y, x=0 and y=8 find the volume

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

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Q: Find the volume of revolution obtained by rotating the region between the functions y Vx, x = 0, and…

A: We can draw this situation by graph: y

Q: Find the volume when the region bounded by the y=√(3x) and y=√(3−x) is rotated about the x axis.

A: To calculate the volume of the region bounded by the given curves when rotated around x-axis.

Q: I need help with this question.

A: Given: x= 3y and y^3=x with y≥0.

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y arctan(r), x…

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Q: Find the volume of the solid generated by rotating about the x- axis the region enclosed between the…

A: Explanation of the answer is as follows

Q: 2. X-axis = y=0 interval: (0il) %3D

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Q: Find the volume formed by rotating the region enclosed by: y = x³ + 1, the y-axis, and y = 9 about…

A: We will use the disk method to evaluate the volume of the solid of revolution.

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 2y and y = x with y…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: 10y and y° = x with y >…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = est + 1, y = 0, x = 0, x…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e-®, y =…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y…

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

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Q: Use washers to find the volume formed by rotating the region enclosed by: y = 0.6 – 0.6|x – 12| and…

A: For y=0, 0.6-0.6x-12=0x-12=1x-12=1,x-12=-1x=13,x=11 The inner radius of rotation is,…

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

A: use disk method

Q: Find the volume formed by rotating about the y-axis the region enclosed by: 8y and y* = x with y > 0

A: Here diagram for given problem is: