Find the volume of the solid whose base is the region enclosed by y=x^2 and y=1, and the cross sections perpendicular to the y-axis are squares.

Q: the volume of the solid generated when the region enclosed by y = √2x + 8, y = x, x = 0 is revolved…

A: Hi, please find the handwritten form.

Q: volume of the solid whose base is the region |x|+|y|≤4|x|+|y|≤4 and whose vertical cross sections…

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Q: 42. y = x², y= 12 – x, x = 0, about y : 0, about y = 15 || -

A: We have to sketch the region first.

Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe given…

A: We graph the region using a graphing calculator. The red curve is y=10-x^2 The black curve is…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves x2 −y2 =9 and x=5…

A: Consider the provided question, The graph of the given curve is drawn as, The required volume of…

Q: Find the volume of the region bounded above by the sur-face z = 9 - y2 and below by the rectangle R:…

A: our objective is to find the volume

Q: Find the volume of the Solid generated by revolving the region bounded by y = -2x? and y = x2 - 3 ,…

A: According to the given information it is required to find the volume of the solid generated by…

Q: Find the volume of the solid generated by revolving the region enclosed by x = /30 y2, x= 0, y = -…

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

A: According to bartleby guidelines expert have to answer first question when student upload multiple…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x + 16, y= 0, x = 0…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x +1…

A: To find the volume of the solid generated be revolving the region bounded by the graphs of y=2x2+1…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y 2x2 1 and…

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Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

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Q: Find the volume of the rotator created by rotating the region bounded by the curve and lines y = 1 -…

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Q: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The…

Q: Find the volume of the solid obtained by rotating the region bounded by y = −10+ 6x - x², x = 1 and…

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Q: Determine the volume of the solid obtained by rotating the region bounded by the curves y = x2 – 6x…

A: We shall use shell method to calculate the volume:

Q: find volume of solid 3x^2 ,x=1, y=0 about x axis

A: Consider the region bounded by the curves y=3x2,x=1,y=0 as shown in the figure below: Here, the…

Q: Find the volume of the solid obtained by revolving the region enclosed by the curves y=x^2, x=y^2,…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Please refer the attached image for complete solution.

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve…

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Q: Find the volume of the solid whose base is the region between y =x²and y = 4 and whose perpendicular…

A: Given The given region is y=x2 and y=4. The perpendicular cross-sections are Isosceles Right…

Q: y = x y = 12 – x, x = 0, about y -2 x > 0

A: Given that: y=x2,  y=12-x  ,  x=0,  about  y=-2,x≥0 The volume of the solid between the curves…

Q: The area of the region bounded by the x-axis and y=7x-x2 is revolved about the x-axis. The volume of…

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Q: Find the volume of the solid generated by revolving the region bounded by the curve x2 y2 = 16 and…

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

A: Given: x=0,y=1,x=y8 about y=1

Q: The base of a solid is the region bounded by the line y = 9 and the parabola y = x². Cuts…

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Q: . Find the volume of the solid whose base is the region bounded by the semicircle y = 1– x² and the…

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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: To find the volume of the solid obtained by rotating  the region y = 7x6,   y = 7x, x ≥ 0;    about…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: I am attaching image so that you understand each and every step.

Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe given…

A: We graph the region using a graphing calculator. Red is y=16-2x Blue is y=6 The shaded region is…

Q: find the volume of the revolution of the area bounded by y=4x-x^2 and y=3 rotated about the y axis.

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Q: Compute the volume of the solid formed by revolving the region bounded by y 11-x, y 0 and x=0 about…

A: The answer is given below:

Q: Find the exact value of the volume of the solid that results when the region bounded by y = Vĩ, y =…

A: I use shell method

Q: Find the volume V 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 whose base is the region bounded between the curve y = x and the y-axis…

A: Given: To find the volume of the solid whose base is the region bounded between the curve y = x3 and…

Q: A region bounded by the parabola y = 4x − x2 and the x-axis is revolved about the x-axis. A second…

A: Given: The following graph is drawn for the both equations.

Q: Find the volume of the solid formed by revolving the region bonded by the graphs of y = x + 2, y =…

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

A: The region is bounded by x=2-y2 and x=y8 about the y-axis

Q: Find the volume of the region bounded above by the surfacez=9- y2 and below by the rectangle R:…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y =…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = x3 , x =…

A: Here, the given region is bounded by the graphs of y=x3, x=2 & y=0 is shown:

Q: Determine the volume of the solid obtained by rotating the region bounded by y= x2-4x+5, x=1, x=4…

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Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: The given solid is bounded between the curve y=9-x2, y=0,  rotating about the x-axis. Volume of the…

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=12−x,…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x + 48, y = 0, x =…

A: shell method

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

A: First solve y=0 to obtain the x limits y=036x-4x2=04x(9-x)=0x=0,9 Now use shell method with radius x…

Q: Find the volume of the solid whose base is the region x+ y < 3 and whose vertical cross sections…

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Q: Find the volume of the region bounded above by the planez = 2 - x - y and below by the square R: 0 ≤…

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