4. Find the volume of the solid that results when the shaded region is revolved about the indicated axis. 1 (1, 1) y = x² y = x³ X 1

Q: 2. Consider the first quadrant region bounded by y² = x, the x-axis and x = 4. Find the volume when…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 2. Find the volume generated by revolving about the y-axis, the area bounded by x² + y² = a² and x+y…

A: The bounded region: Green colored    To find: The volume of revolution around y-axis of the bounded…

Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

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Q: 5. Find the volume of the solid generated by revolving the area of a circle: (x - 2)² + y² = 4;…

A: In this question, we need to find the volume of solid generated by revolving the area of the given…

Q: 5. Find the volume of the solid enclosed by z = 4, y = 0, y = 25 – x2, and z + y = 29.

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Q: 3. Find the volume of the solid generated when the region enclosed by y = v2x + 8, y = x, x = 0 is…

A: Given

Q: 3 14. Find the volume of the solid that results when the region bound by y = x°, x = 2 and the…

A: The given region is the region bounded by y=x3,x-axis y=0 and x=2. To find the volume when the…

Q: 4. (a) Find the volume of the solid generated when the region enclosed by y = -. 6-x2 and y = 0 is…

A: Given the solid generated when the region enclosed by  y=−6−x225  and  y=0   is revolved around the…

Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about…

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Q: Find the volume of the region between the cylinders x² + y² = 36 and x? + z2 = 36.

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Q: 3]. , Let V = ar²h, where V the volume of a right circular cone of radiusr and height h. Show that…

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Q: 11. Find the volume of the a 3-dimensional solid whose base is given below and whose cross sections…

A: TO FIND THE VOLUME OF SOLID GIVEN BELOW FORMED BY THE CURVES  y=4-x2 ; y=0 ;x=0 by using the concept…

Q: 12. Find the volume of the solid that results when the region bound by x 1-y and the y-axis is…

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Q: 10. Find the volume of the solid obtained by rotating the region bounded by y = x³. x = 0, and x = 1…

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Q: 2.5 Find the volume of the solid of revolution formed by rotating the area under y = 9 – x? over [0,…

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Q: Find the volume of the solid formed by rotating the region enclosed by eA# + 5, y = 0, x = 0, x =…

A: olume by shell method is given below

Q: 4. Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x2…

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Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y =…

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as…

Q: The volume of the solid obtained by rotating the region bounded by y=4-x, y=0, X=-2, x-2 about the…

A: Determine for true or false

Q: 1- Find the volume of the solid generated be revolving the shaded region about the given axis. About…

A: The volume of the solid generated when the first given region is revolved around the y-axis is to be…

Q: 3. If the region bounded by the curves y =x, y=0, and x =9 is the base of a solid, and cross…

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Q: What is the exact volume of a solid that is formed by rotating the region bounded by g (x) = †x² +1,…

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Q: 2. Find the volume of the solid that results when the shaded region is revolved around the Y - AXIS.…

A: Volume by revolving a curve.

Q: 1) Compute the volume of the solid obtained by revolving around the r-axis by 27 (ie. a full…

A: Note: Since, you have asked multiple question, we will solve the first question for you. If you want…

Q: 1. Find the volume of the solid that results when the shaded region is revolved about the X - AXIS.…

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Q: What is the exact volume of a solid that is formed by rotating the region bounded by g (x) = †x²+1,…

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Q: 14. Find the volume tended by the graph of f(x, y) = 1+2x + 3y, the rectangle [1, 2] x [0, 1], and…

A: Given function is: fx,y=1+2x+3y and the coordinate of the rectangle is: 1,2×0,1

Q: 6. Find the volume of a solid whose base is the region bounded by y = 4 – x² and the x-axis and…

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Q: 5) Find the volume of the solid of the region common to the interiors of the cylinders x2 + = 1 and…

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Q: The region enclosed by y=2Vx and y=6 is revolved about the x-axis. The volume of the solid generated…

A: The given curves are: y=2x, y=6

Q: B. Find the volume generated by revolving the region enclosed by x - -y and y=x+2 about У-аxis. 20%

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Q: 2) ( ) Sketch and find the exact volume of the solid obtained by rotating the region B bounded by…

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Q: y = x² +9 %3D y= 18

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Q: 4) Find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

A: We find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

Q: 19. Find the volume of the solid that results when the region enclosed by = 2y, y = 2, y = 3 and x =…

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Q: 26: Find the volume of the solid when the area contained by x = Jy and y - 6 = x is revolved about…

A: The volume of solid of revolution can be calculated using the formula Volume=∫abπ |fx2-gx2|dx. Here,…

Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: 8. Find the volume of the solid that results when the area of the region enclosed by y = 2x2, x = 2,…

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Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: Find the volume of the solid of revolution below. (1,1) 0.5 y = x³ 1 -0.5 X = X 0.5 1.5 2

A: Given: Apply the disk method to find he volume of the solid about the x-axis.…

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

A: We know that If area bounded by the curve y=f(x), the line x=a and x=b and x axis , is rotated about…

Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

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Q: 2. Find the volume of the region common to the cylinders r2 + y² = 9 and z2 + z² = 9.

A: USING  FORMULA VOLUME =8∫∫∫dxdydz

Q: What is the exact volume of a solid that is formed by rotating the region, enclosed by the functions…

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Q: 4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0, x = 1…

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Q: 2) () Find the exact volume of the solid obtained by rotating the region B enclosed by the curves…

A: Volume of solid of revolution by the area enclosed by y=f(x) and y=g(x)about x-axis  (where…

Q: 5. Find the volume generated by the areas bounded by the straight line y = x, between y = 0 and x =…

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Q: 15. Find the volume by the parabole y² = of the solid generated by revolving y-axis, the area…

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Q: 1. Sketch the region enclosed by the curves of y = x² – 2x. y=x+4, x =-2, x = 5 and find the area of…

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Q: 2. Find the volume of the solid that results when the shaded region is revolved about the indicated…

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