3. Find the volume of solid generated by revolving the region bounded by the curve y = -axis. The graph of the curve is given below. 4 3. 1 -1 -2 -3

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Q: 14. Find the dimensions of a right cone with surface area S=4 n that has the largest volume?

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Q: 2. Suppose that the triangle with vertices (-1,-1), (0, 1) and (1,–1) is revolved about the y –…

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Q: 9. Find the volume of the solid whose base is the region enclosed by y = 2 –- x² and the x-axis and…

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Q: 3 14. Find the volume of the solid that results when the region bound by y = x°, x = 2 and the…

A: The given region is the region bounded by y=x3,x-axis y=0 and x=2. To find the volume when the…

Q: 5- Find the volume generated by the following curve. The curve y = r - 1 is rotated about the r-axis…

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Q: Find the volume obtained when the shaded YA y=x? + 1 5- region is rotated through 360° about the…

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Q: 2.5 Find the volume of the solid of revolution formed by rotating the area under y = 9 – x? over [0,…

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Q: What is the exact volume of a solid that is formed with a square base, aligned with the center of…

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Q: 3. If the region bounded by the curves y =x, y=0, and x =9 is the base of a solid, and cross…

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Q: 14 - Which of the following is the volume of the object that occurs when the region bound by the y=…

A: We sketch the region using a graphing calculator  The shaded region will rotate around the x axis

Q: Refer to Graph below. y = /1 – x² Show that the volume under the surface z= 5x²y over the half of…

A: The given surface is z=5x2y and y=1-x2

Q: 5. Ay 1 y = ycos x π 4.

A: Apply the washer method; The volume of revolution of the curve about x-axis, from x = a to x = b is…

Q: 4 5 6 7 9 1 -2 The graph above shows the base of an object. Compute the exact value of the volume of…

A: Consider the following diagram showing one slice of the solid formed above the given base: The base…

Q: 11 Move the 5 points to define a positive curve then find the approximate volume if the rectangles…

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Q: An industrial container is in the shape of a cylinder with hemispherical ends, as shown in the…

A: To Determine:  An industrial container is in the shape of a cylinder with hemispherical ends, as…

Q: 14. Find the volume tended by the graph of f(x, y) = 1+2x + 3y, the rectangle [1, 2] x [0, 1], and…

A: Given function is: fx,y=1+2x+3y and the coordinate of the rectangle is: 1,2×0,1

Q: 1. , Trh. Suppose that the The volume of a right circular cone of radius r and height h is given by…

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Q: 6. Consider the region created by revolving y = 4 +x, y = 3 – x, x = 0, and x = 2 about the y -axis.…

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Q: The region bounded by y = 3x - 9 andy = -3x2 + 18 x - 9 revolved about the y-axis. Find the volume…

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Q: y = x² +9 %3D y= 18

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Q: What is the exact volume of a solid that is formed by rotating the function h (x) = 6/x about the…

A: Explained below...

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

A: To find out the volume of revolution.

Q: 1. Let V be the volume of a pyramid of height 20 whose base is a square of side 8. (a) Use similar…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 5. Consider the function y? : by revolving the region between the graphs of these equations about…

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Q: A gasoline tank is an oblate spheroid generated by revolving the region bounded by the graph of = 1…

A: x29+y24=1We have to find the region of integration along yx29=1-y24x2=91-y24 put x=0 ,then y24=1y=±2

Q: 7) find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 1 3) Consider the region bounded by the graphs of y =-x, y= V4-x , and y=0. 3 c) If this region is…

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Q: 1. Obtain the volume of the region rotated to the right of the y-axis and to the left of the curve x…

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Q: 12. Consider the region R bounded by the line y = 37 – 7x and the parabola y = 27 – x² . %3D Find…

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Q: 2. Find the volume of the solid generated by revolving about the y-axis the area bounded by the…

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Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph…

A: Volume of revolution

Q: 5. The area bounded by the graphs of y= 2x + 3 and y = x² revolves about the x-axis. Determine the…

A: Given y=2x+3 and y=x2

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

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Q: Given:  The region is bounded by the curve y=4x-x^2, y=4 and the y-axis Problem : The volume…

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Q: What is the exact volume of a solid that is formed by rotating the function h (x) =7/x about the –…

A: As we know that; The expression for the volume of solid rotating about the x-axis is: V=∫x1x2πhx2dx…

Q: Find the volume of the solid generated by revolving area of a circle: (x-2)²+y²=4

A: Rotate the circle:By rotating the circle around the y-axis, wegenerate a solid of revolution called…

Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

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Q: Suppose a lamina (an essentially 2-D object) has the shape of the region between the graph of y = x,…

A: It is given that, mass density per unit area is δx=2x g/cm2. Here you have to notice that mass…

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: = 36 is revolved about the line The area enclosed by the curve 4x² + 9y? = 2. Find the volume…

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Q: EXample-Calculate the Volume of the object produced by the potar Curve e Zohe oseS/2 e turning…

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Q: 3. [7 the graph of y = x3, on the interval [0, 1], is revolved about the Find the surface area of…

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Q: 4. Find the work required to pump the water out of the top of a full tank that is shaped like the…

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Q: The region bounded by the graphs of y = x² and y = 6 - |x| is revolved around the y- axis. What is…

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Q: 25. y = In x, x= 0, y = 0, y= 1

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Q: 14. The region enclosed by the curves y=x and y=x² is around the x-axis to create a solid. The…

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Q: 2. Find the volume of the solid that results when the shaded region is revolved about the indicated…

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