For the volume below .if the washer method was used ... how many strips it's ?needed Q/The volume of solid obtained by rotating the region bounded by the curves y = 5- v25-x .y = v16 + x - 2, y = x+6 and y = 6- x about the line y = -2.

Q: Find the area of the region bounded by the curves y = 2x^2 − 8x + 12 and y = −2x + 12.

A: Answer

Q: Dy = 3x; y = x and x+y=8 about y- axis

A: Using the washer method calculating the volume of the solid formed by integration.

Q: Find the the volume of the solid obtained by rotating the region bounded by the curve y = Va and x…

A: Integration of function expression with respect to variable x or y gives the area between function…

Q: Q2) Find the volume of the solid generated by revolving the 3x4 and the lines region bounded by the…

A: Apart from triple integration, volume of a solid can be determined using single variable…

Q: 1. If the region bounded by the two curves is revolved about x = 4, what is the volume of the…

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Q: The region in the first quadrant that is bounded above by the curve y = 1/Vx, on the left by the…

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Q: Find the volume generated by the area bounded by the parabola x=√ay , and the line y=b that is…

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Q: Q1/ Find the volume of the solid generated by revolving the region bounded by the line (y= x+3 ),…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (y=x²+2) & the…

A: image is attached

Q: 2. For each of the following, use the indicated method to find the volume of the solid of revolution…

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Q: Given the area in the first quadrant bounded by the curve x^2 = 8y, the line x = 4 and the x – axis.…

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Q: 16. Find the volume of the solid generated by revolving the region enclosed by y = 3sinx and y = 0…

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Q: The region in the first quadrant that is bounded above by the curve y = 1/(x^1/2), on the left by the…

A: Given that the function  y = 1x, x = 14 , y =1

Q: Find the volume swept out by revolving the region bounded by the y-axis and the graph of x = t (1 -…

A: Given,

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: Sketch the region bounded by the graphs of the curves y = V+ 4, y= 4 – x, and r= 4. Then find the…

A: Given :    y = √x + 4     y = 4 - x     x = 4   Volume about x = 4

Q: 2. Sketch the graph and shade the region enclosed by the curves y = x² and x axis from x=0 x=2. Find…

A: Given region enclosed by - y = x2 x =0 x =2

Q: Determine the volume of the solid formed by revolving the area bounded by 4y=x³, y=0 and x=2 about…

A: We need to find volume.

Q: Find the volume of the solid that results when the region enclosed by the curves y = 1 x2 and x =…

A: The volume of the solid generated by revolving y-axis a region between the curves x=f(y) and x=g(y)…

Q: The region in the first quadrant that is bounded above by the curve y 1/Vx, on the left by the line…

A: Given that the region in the first quadrant that is bounded above by the curve y=1/√x, on the left…

Q: For the volume below...if the washer method was used ... What are the limits of integration? * Q/The…

A: Given equations are y=1-4-x2, y=1+x2,y=x+3 and y=3-x about the line y=-2

Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: y² = 4x; x=4 about x=4 %3D

A: Given, y2=4x,  x=4 at x=4 y2=16y=±4 limit of volume on y-axis is -4 to 4 we know volume of curve…

Q: To find the volume of the solid generated by revolving the area bounded by the given curve about the…

A: The volume of the solid generated by revolving the area bounded by the curves f(x) and g(x) over the…

Q: The region in the first quadrant that is bounded above by the curve y = 1/sqrt(x), on the left by…

A: Given,

Q: The region bounded by the curves y = sec x and y = 2, for 0 sxs, is revolved around the x-axis. What…

A: Given that the region is bounded by the curves y=secx and y=2 for 0≤x≤π3. Obtain the volume of…

Q: Q2 ) Determine the volume of the solid obtained by rotating the portion of the region bounded by y =…

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Q: 3. Find the volume of the solid that results when the region enclosed by the curves x = = y² and x =…

A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

Q: The region in the first quadrant that is bounded above by the curvey = 1/x1/4, on the left by the…

A: Given: The region in the first quadrant that is bounded above by the curvey=1x14 on the left by the…

Q: Given a curve having an equation of y2 = 4x. a) Compute the area bounded by the curve and the line…

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Q: Find the volume of the solid that results when the region enclosed by 1 x² and x = 6y² is revolved…

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Q: The base of a solid is the region between the curve, y 2 (p + x) = x 2 (3p- x), 05xs 3p, y 20 and…

A: 1st we simply the given equation and put the vale of p =7; after that, we calculate the base area.

Q: What is the volume formed by revolving about the x-axis the area bounded by the lines x = 1, x = 5…

A: the volume (V) formed by revolving the curve y=f(x) about the x-axis bounded by x=a, x=b (b>a) is…

Q: The region in the first quadrant that is bounded above by the curve y = 1/x^(1/4), on the left by…

A: Graph the situation using graphing calculatorWe have to rotate the shaded region.

Q: Find the volume generated if the area bounded by curve y = x^2 and the line y = 2x+ 3 is revolved…

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

A: We first sketch the region using a graphing calculator

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: 1. Use your preferred method to calculate the volume of the solid obtained by revolving the region…

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Q: Find the volume of solid generated if the area bounded by each of the following curves is revolved…

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Q: 2. Find the volume of the solid generated by revolving the region bounded by the parabola y = x…

A: I use washer method

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Find the volume of the solid whose base is bounded by the given function with the indicated cross…

A: To calculate the volume you have to rotate the function along the line ,x=0 which is perpendicular…

Q: The base of a solid is the region between the curve, y 2 (p + x) = x 2 (3p- x), Osxs3p, y20 and the…

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Q: Find the surface area of the volume generated when the following curves revolve around the given…

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Q: Q2|| Find the volume of the solid generated by revolving the region bounded by the curve -= X…

A: Volume of revolution

Q: (b) Determine the volume of the solid that results when the region enclosed [2] by the curves y = x²…

A: Solution:Given   y=x2+2   and y=4-x2and th line y=3To determine the volume of the…

Q: 2. Find the volume of the solid generated by revolving the region bounded by the y = ³, y= 0 and x =…

A: Find the volume of the solid generated by revolving the region bounded by the y=x3, y=0 and x=1…

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: 4. Find the volume of the solid generated by revolving the region in the first quadrant bounded…

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