Find the volume of the solid bounded above by f(x,y) = 5x², below by the xy-plane and the sides by y = 10x + 4, y %3D = -10x + 3 and x = 14. Leave your answer correct to 2 decimal places.

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 7x2 +7y2 = 6.…

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Q: Find the volume of the solid generated bounded by x = √√√y-2, x = y² - 4y + 4, rotated about the…

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

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Q: Find the volume of the solid formed by revolving the region bounded by f(x) = Vx, y = 0, x = 3 about…

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Q: b) By using the washer method, find the volume of solid obtained by revolving the region bounded by…

A: To find the volume of solid obtained by revolving the region bounded by y = 2x - 1 and y = x - 1…

Q: what is the volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0 is…

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Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

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Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y-2= 0 is…

A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: Q4) Fid the volume of the solid generated by revolving the region between the curve y = x + 1 and…

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Q: Find the volume of a solid bounded above by the function f(x,y) = 2x2 + 4y2 +1, below by the…

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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 of revolution obtained by rotating the region bounded by the graphs of…

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Q: Find the volume of the solid generated when the region enclosed by y = Vx + 1, y = V5x, and y 0 is…

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Q: Find the volume of the solid bounded by -V4 – (y – 5)', x = 0 is rotated X = about the x-axis using…

A: To Determine: Find the volume of the solid bounded by x=-4-y-52   ,x=0 is rotated about the x-axis…

Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r…

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Q: find the volume of the solid of revolution using the shell method of region located in first…

A: In the shell method, we create the cross-sections by slicing parallel to the axis of rotation. This…

Q: Find the volume of the solid bounded above by f(x,y) = 8x², below by the xy-plane and the sides by y…

A: Volume

Q: Find the volume of the solid generated when the region bounded by y = 9 – x and y = 2x + 6 is…

A: To find the volume of solid generated by revolving around the x axis

Q: Q4. Find the volume of the solid that is bounded above by the surface z =1– 2x² – y? – 2y and below…

A: Step:-1 Volume V=∭dxdydz ----(1) Now, given that required region is bounded by surface z=1-2x2-y2-2y…

Q: Find the volume of the solid whose base is the region bounded by the x-axis and the curve y=e^x…

A: It is given that:

Q: 3. Find the volume of the solid whose base is the region in the first quadrant between the curve y=…

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Q: (b) Apply the triple integration to calculate the volume of the solid G that is bounded above the…

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Q: Find the volume of revolution from the region bounded by y=x, x+y=6 and y=1, being revolved around…

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Q: Find the volume of the solid bounded above by f(x,y) = 3x2, below by the xy-plane and the sides by y…

A: Let's find.

Q: Find the volume of the solid of revolution generated by rotating about x= -1, the region bounded by…

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Q: Find the volume of the solid whose base is the region bounded between the curve y = x³ and the…

A: As per the company policy i can answer only first question for you, More than one answer lead me…

Q: CALCULATE THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BY 4y=x² - 4x + 8 AND THE LINES…

A: Introduction: When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: Consider the region in the first quadrant under the line y = 3 and above the curve y =√x. Find the…

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², Y = 2x, about the line y…

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Q: Find the volume of the solid bounded above by f(x,y) = 8x?, below by the xy-plane and %3D the sides…

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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 of the solid of revolution when the region bounded by y = x + 1, the x – axis, and…

A: Recall: Shell method,  V=2π∫abr(x)h(x)dx We have, a=0, b=2, r(x)=3-x, h(x)=x+1

Q: Find the volume of the solid bounded above by f(x,y) = 7x2, below by the xy-plane and the sides by y…

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Q: Find the volume bounded by the cylinder x² + y² = 9 and the planes y + z = 4, z = 0, using double…

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Q: Find the volume of the solid whose base is the region bounded between the curves y = x and y = x²,…

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Q: Find the volume of the solid bounded by the surfaces f(x,y) = 10x² + 10y², z = 0 and 4x2 +4y2 = 7.…

A: Given,  f(x,y)=10x^2+10y^2  ,  z=0  ,  and  4x^2+4y^2=7

Q: Find the volume of the solid bounded above by f(x,y) = 4x?, below by the xy-plane and the sides by y…

A: We will find out the required volume.

Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = y? about the linex =…

A: we will solve the problem using washers method.

Q: Find the volume of the solid obtained when the region bounded by the curves y =−x^2 + 2x + 3, y = 0…

A: Given: The curve is: y=-x2+2x+3 and y=0 Now, the point on x, when y=0 are:…

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

A: Given that , fx=x2+1 and gx=-x2+2x+5 find the volume of solid generated by revolving the region…

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

A: Volume of revolution

Q: Find the volume of the solid bounded by the surfaces f(x,y) = 4x2 + 4y?, z = 0 and 2x2 +2y2 = 4.…

A: Here we can use polar coordinates to find the volume. Formula for volume using polar coordinates is…

Q: The volume for solid of revolution between the curves y = v(49- x^2) and y = 0 around the x - axis…

A: Let's find volume of solid of given curves.

Q: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4…

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Q: Find the volume of a solid bounded above by the function f(x,y) = 2x2 + 4y2 +1, below by the…

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Q: Find the volume of the solid above the region D={(x,y) : 0s xs V55, 0s ys 55-x²} and between the…

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Q: Find the volume of the solid bounded above by the graph of x2 + y2 +z2 = 5 and below by the graph of…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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Q: Find the volume of the solid that results when the region bounded by x = y and x = 3y + 10 is…

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Q: Use integration to find the volume of the solid that lies within the cylinder + y= 4, below the cone…

A: We will find out the required volume.