Find the volume of the solid which is (a) bounded by x+ y+z = 4 in the first octant.

Q: Find the volume of the solid obtained by rotating the region xy = 1, y = 0, x = 1, x = 2 about the…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

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Q: Determine the volume of the solid lying under the graph of z = x + 3y

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Q: Find the volume of the solid obtained by rotating the region bounded by y = VT, y = 1, r = 2, and r…

A: Find the volume rotating about x-axis

Q: Find the volume of the solid of revolution bounded by y = 1/(x+1), x = 0, x = 2, and the x-axis, and…

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Q: Find the volume of the region bounded above by the paraboloid z = 9 – x? - y², below by the…

A: The volume of region is calculated using the triple integral, V=∭sdV Use the cylindrical…

Q: Find the volume of the region bounded by the paraboloid z = x² + y² and the plane x + y = 1 in the…

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Q: Find the exact value of the volume of the solid obtained by rotating the region bounded by y = VT, x…

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Q: Find the volume of the solid obtained by rotating the regionbounded by y = x 3 , y = 8 ,and x = 0…

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Q: Find the volume of the solid V in the first octant bounded by x+y+z=5 and x+y+7z=5.

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Q: Discover the volume of the solid region in the first octant bounded by the coordinate planes and the…

A: Equation of given surface = z= 5-x^2-y  dV = dx dy dz

Q: Find the volume of the solid formed by rotating the region R about the y-axis, where R is bounded by…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

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Q: Find the volume of the solid. y=x2, x=0; x=2, y=0, about the x-axis

A: use the volume of solid of revolution formula,

Q: What is the volume of the solid R bounded by the x- axis, x = 1, and y = sqrt(x) when R is revolved…

A: We have,  Volume solid region  V = π∫ab(R2 - r2) dx Where, R = Outer radius is the distance from the…

Q: Find the volume of the solid generated by revolving the area bounded by x- y2 + 6y-9 0 and x- y-9 =…

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Q: Find the volume of the region bounded above by the paraboloid z = 9 - x2 - y2, below by the…

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Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y…

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Q: Find the volume of the solid bounded by z= - y, the xy-plane, and r=4 cos 0.

A: The answer is 8.33

Q: Find the volume of the solid obtained by rotating the egion bounded by y=x+1₁ y=0, about y = -1. y =…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = -1+ In r, y = 2, y = 4,…

A: Given function is : y=-1+lnx , y=2, y=4 To find the volume of solid obtained by rotating the region…

Q: b) Determine the volume of the solid generated by rotating the region bounded by y = V2x and y =…

A: We have given the curves

Q: Find the volume of the solid generated by revolving the area bounded by x - y² + 6y - 9 = 0 and x -…

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Q: Find the volume in the first octant bounded by the cylinder x² +y = a² 2a and the lane z = x + v.

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Q: Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x^2,…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = Inr, y=1, y= 4 and r = 0…

A: shaded portion is the region of interest that is rotated around y-axis to make a solid. y=ln(x)…

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

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Q: Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained…

A: This question is related to definite integration, we will solve it using given information.

Q: Find the volume of the solid obtained by rotating the region bounded by y = x^3, y = 8, and x = 0…

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Q: Find the volume of the region bounded below by the paraboloid z = x2 + y2, laterally by the cylinder…

A: Find the volume of the region boundedbelow by the paraboloid z = x2 + y2, laterally by the…

Q: Find the volume of the region bounded below by the plane z = 0, laterally by the cylinder x2 + y2 =…

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Q: Find the volume of the solid region bounded above by the paraboloid z = 9 - x2 - y2 and below by the…

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Q: Let R be the region bounded by y=x+3, x= - 3 and y= 3 , then the volume of the solid formed by…

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Q: Find the volume of the solid formed when the region bounded by y=e^x, x=0, x=2, and y=0 is rotated…

A: Sketch the graph of given curves as follows.

Q: What is the volume of the solid R bounded by the x- axis, x = 2, and y = x2 when R is revolved…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^5, y=x,…

A: The solid base is in the first quadrant which is bounded by the curves y=x5, y=x, y=1 and y-axis.…

Q: find the volume ,The region between the planes x + y + 2z = 2 and 2x + 2y + z = 4 in the first…

A: Given planes are

Q: Find the volume of the solid obtained by rotating the region bounded by 9x", x = 1, and y = 0, about…

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Q: Find the volume of the solid of revolution obtained by revolving the region R bounded by the…

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Q: Find the volume of the solid lying below the graph of z = x* + xy + y³ and above the rectangle 1 < x…

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Q: Find the volume of the solid generated by rotating the area bounded by the y=sqrt(x-1) and y=(x-1)^2…

A: Given:y=(x-1)    and    y=(x-1)2 To find out: The volume generated by rotating the area bounded by…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves = Vx, y = -x +2…

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Q: y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 2a², x = 1, and y = 0,…

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Q: Sketch the region bounded by v= Vx. v= 0, and x = 3. The find the volume of the solid of revolution…

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Q: find the volume of the region in the first octane bounded by the coordinant planes, the plane y + z…

A: See the details solution in below

Q: Find the volume of the solid obtained by rotating the region bounded by = 5a?, 5x², x = 1, and y 0,…

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Q: Find the volume of the solid obtained by rotating the region bounded by æ = 8y°, y = 1, x = 0, about…

A: Given:       x=8y2 , y=1, x=0

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1…

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the…