Find the volume of the region bounded by the curves y² = x and x – 4 = 0 2 %3D revolved about the line x = 5. 436n A. 5 832 В. 15 892n С. 15 416n D. 5 -2 2.

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A: Given y=ex2, x=-1, x=1 and the x-axis is rotated about the y-axis.

Q: The volume obtained by rotating the region bounded by y =/36 - (x - 3)2 and the x-axis about the…

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Q: The region bounded by the graph of y = x²VIn x and the x-axis on the interval [1, e] is revolved…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: The region R bounded by y=1/3ln(x), x=e^3, and the x-axis is revolved about the y-axis. Calculated…

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Q: The volume for solid of revolution between the curves y = √49-x² and y=0 around the x-axis is (26/3)…

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Q: 2. Find the volume of the solid generated when the region bounded by y = x? - x and y = x – x² is…

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Q: Find the volume of the region under the graph of f(x, y) = 3x + y + 1 and above the region y < x,0 <…

A: Given f(x,y) = 3x+y+1 The region is given as, y2 ≤ x   and 0 ≤ x ≤ 16

Q: Find the volume V of the solid obtained by revolving about the line y = - 4 the region between the…

A: Obtain the volume with the help of Washers method.

Q: Find the volume of the solid formed by rotating the region bounded by y = e^(2x) and y = 2Vx from x…

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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: 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: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

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Q: The region between the lines a = a, x = b, the graph of y = f(x) and the x-axis is rotated around…

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Q: Find the volume of revolution of the region bounded by the curves x = (y-2)½, y = x + 4, and y-axis…

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

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Q: Use the Midpoint Rule with n=5 to estimate the volume V obtained by rotating about the y-axis the…

A: Given:  y =f(x) = 2 + 3x3   ; x ∈0,1Creates a solid when rotated about y axis.…

Q: 8. The area bounded by the curve y = (x² – 2)? and the x-axis is revolved about the line x = 4. Find…

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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: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

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Q: 13. Find the volume of the solid that results when the region bound by x = V5 y2 and the y-axis from…

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Q: Find the area of the region enclosed by the curves y = x² and y 4.x by integrating with respect to…

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Q: A region R is bounded by the curve y = ln x, the x-axis, and the vertical line x = e^2. If R is to…

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

A: Introduction: A stable of revolution is a stable parent created with the aid of using rotating a…

Q: 3. Compute the volume of the solid obtained by revolving the area between the graphs of y = x² and y…

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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: Consider the region in the First Quadrant bounded by y = 1/x and y = x^2 from x = 1 to x =2. Find…

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Q: Find the area of the region enclosed by x2 and y = 5x by integrating with respect to y. the curves Y…

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Q: Suppose that the region between the x-axis and the curve y = e-2x for x > 0 is revolved about the…

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Q: Q1: Determine the volume of revolution obtained by the region bounded by y = Vx +3, y = v-x+3, y = 0…

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Q: 23. The region bounded by the curve 4y = x, the line x = 4 and the line y = 1, is rotated through…

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

Q: Find the volume of the solid generated by revolving the region bounded by the line x – 2y + 10 = 0,…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 2 – y? and x = y about…

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Q: 3.Find the volume of the solid formed by revolving the region bounded by the graph of f(x) = vsin x…

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

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Q: Find the volume generated by rotating the region in the first quadrant bounded by y=e^x and the…

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Q: The region bounded by the curve y = x2 + 1 and the line y = -x + 3 is revolved about the x-axis to…

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Q: 6. Find the volume if the area bounded by the curve y = x3 + 1, the x-axis and the limits of x = 0…

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

A: This is a problem of the volume of rotation

Q: Q3. The region bounded by the curve y x² and the line y 3x, is revolved about the line x = -3. Find…

A: Here i use cylindrical shell method to find out volume of rotation

Q: Q3. The region bounded by the curve y x² and the line y = 3x, is revolved about the line x = -3.…

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