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Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: The region bounded by x = 0, y = 2x and y = 3 – x2 is revolved around the x axis. a.Write an…

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Q: Find the volume of the largest right circular cylinder that fits in a sphere of radius 1

A: 1.) Find the equation for the volume of a cylinder inscribed in a sphere.2.) Find the derivative of…

Q: Suppose that r = 12 cm and h = 15 cm in the right circular cylinder. Find the exact and approximate…

A: In right circular cylinder   radius(r)=12 cm and height(h)=15 cm (a)  For lateral surface area…

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

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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: a hole of radius 4 is bored through the center of a sphere of radius 5. Find the volume of the…

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Q: Find the volume of the shaded region about the indicated axis. y =x (1, 1) y = Vr+2 -2

A: Find the volume we use the disc method for first picture and cylindrical shel method for second…

Q: A torus is formed by revolving the region bounded by the circle x2 + y2 = 1 about the line x = 2 .…

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Q: Find the volume of the solid that results when the shaded region is 2 y = x revolved about the…

A: The given curves are: y=x   and   y=2-x2

Q: right circular cone of radius 3 cm has a curved surface area of 47.1 cm2 .Find the volume of the…

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Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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Q: Find the volume of the solid that esults when the shaded region is evolved about the indicated axis.…

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Q: The best method applicable to find the volume of the region bounded by x = y? and x = 2+y revolved…

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Q: Find the volume of the solid that results when the shaded region is 1 revolved about the indicated…

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Given that: Volume of cylinder = 1000 cm3

Q: If x > 0, find the volume of the solid obtained by rotating the region enclosed by the graphs about…

A: 0ur region eclosed by the graphs y=12-x  , y=x2   , x=0

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

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Q: A right circular cone of radius 3 cm has a curved surface area of 47.1 cm2 .Find the volume of the…

A: given: A right circular cone of radius 3 cm has a curved surface area of 47.1 cm2. we have to find…

Q: Given the area in the first quadrant bounded by the curve x2 = 8y, the line x = 4 and the x – axis.…

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Q: Find the exact value of the volume of the solid that results when the region bounded by the given…

A: Apply the disc method to find the area of revolution around the x-axis, V=∫abπy2dx From the figure,…

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: 5. Use Slicing. y = 8x, x = 0, x = 2, y = 0, re : x- axis

A: Method of Slices or Discs: To obtain the volume of solid of revolution obtained by revolving the…

Q: Find the volume of the region bounded by y = x², y = 8x, x = 0, and x 2 rotated around the x-axis.…

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Q: Given: Region bounded by y=x3, y=x2, x=1, and x= 2, Find the volume of the region when rotated…

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Q: Find the volume of the solid whose base is in the first and second quadrants bounded by y=16−4x2 and…

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Q: A volume is described as follows: 1. the base is the region bounded by y = 9 z² and y = 0 49 2.…

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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: Derive the formula for the volume of a sphere by revolving about the x-axis, the region bounded by…

A: We have to derive the formula for the volume of a sphere by revolving about the x-axis, he region…

Q: The diagram shows an igloo which consists of a hemispherical shell of outside radius 2 m and inside…

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Q: By using shell method, find the following volume a. y = (x-3)2 and line y = -2x + 6 about x = 6 b.…

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Q: By using shell method, find the following volume a. y = (x-3)2 and line y = -2x + 6 about x axis

A: Two functions are given by y=x-32 and y=-2x+6. The objective is to find the volume bounded by the…

Q: H 2.2 2,1 A 4.5 B 5.5 X

A: Please find the answer in next step

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y,…

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Q: Without using a calculator, find the volume of the solid fommed when the bounded by y =x, x 0, and y…

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Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: Find the volume if bounded region is rotated around x-axis. Give an exact simplified answer. xY = 2…

A: Givenxy=2y=3-xTo find the volume of the solid first define the area then integrate Across the range…

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: If the lateral area of a right circular cylinder is 88 and its volume is 220, find the radius. А. 2…

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Q: 3 2 12 ty 2 27 - 2k to 2. RD

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Q: A garbage can is in the shape of a cylinder with no lid. It needs to have a volume of 5000 cm3. What…

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Q: Find the volume of the largest pyramid of square base that can be cut from s cube of edge a meters.…

A: A pyramid is a solid whose base is a plane polygon and sides are triangles that meets in a common…

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: Find the volume of the three-dimensional body caused by rotating a given straight line around an…

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Q: Find the volume of the solid that results when the shaded region is 4 revolved about the indicated…

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Q: Use the appropriate method to find the volume of the solid gengerated when the region bounded by the…

A: First graph both the equations . we rotate the graph about y axis . so solve the equation for x

Q: The area on the first quadrant of the circle x^2 + y^2 = 36 is revolved about the line y + 10 =0.…

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