Use the general slicing method to find the volume of the following solid. The solid with a semicircular base of radius 18 whose cross sections perpendicular to the base and parallel to the diameter are squares

Q: Use the method of washer to find the volume of the solid that results by revolving the region…

A: The washer mehtod:      Assuming that function fx and gx are continous and non      negative  on…

Q: Find the volume of the cap of a sphere of radius r and height h for h < r.

A: The equation of the sphere with radius r is x2+y2+z2=r2. Determine z2 from the equation of sphere.…

Q: use the most convenient method (Disk or Shell Method) to find the volume obtained byrotating region…

A: The radius of the region is = x And height of the region= y=x^2+2  And g goes from 0 to 2

Q: Use the general slicing method to find the volume of the following solids. The solid whose base is…

A: We have given the equation of circle; And the length of the square is given; The volume of the…

Q: What is a correct set-up for finding the volume of the pyramid bounded by the coordinate planes and…

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Q: Find the volume of the torus generated by revolving the region bounded by the graph of the circle…

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Q: Find the volume of the right-circular cylinder using slicing, given that its base has a radius of 2…

A: A right circular cylinder,   ⇒        radius of cylinder(r)=2 units  ⇒       height of…

Q: Find the volume of a solid where the base of the solid is  a circle with radius 2, and the cross…

A: Let the circle be centered at origin and the radius is 2.

Q: 1. Use the general slicing method to find the volume of the following solid. The solid whose base is…

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Q: y=1. 2)

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

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Q: use the most convenient method (Disk or Shell Method) to find the volume obtained byrotating region…

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Q: Find the volume of the torus generated by revolving the circle (x - 2)^2 + y^2 = 1 about the y-axis.

A: Given: (x-2)2+y2=1

Q: Find the volume of the torus formed by revolving the circle x2 + y2 = a2 about the line x = b(b >…

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Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

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Q: Use the shell method to find the volume of the following solid. A right circular cone of radius 3…

A: Consider the given information.radius is 3 and height is 8.The volune of right circular cone is…

Q: Find the volume of the tetrahedron bounded by 2x−y+z = 4 and the coordinate planes.

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Q: Use disk, washer, or shell method to compute the exact volume obtained by rotating the region…

A: In this question, we have given the region bounded by the curves f(x)=3x-14 g(x)=6-x and x=0. Here…

Q: Use the general slicing method to find the volume of the following solid. The solid whose base is…

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Q: Use the general slicing method to find the volume of the following solids. The solid whose base is…

A: Given, the region bounded by the curves y = x2, and y = 2 – x2. We have to find the volume of the…

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^2, y=1,…

A: We will integrate cross sectional area of any x to get the volume of solid.

Q: use the most convenient method (Disk or Shell Method) to find the volume obtained byrotating region…

A: Given the figure and the region A: Given the function:

Q: Use the slicing method to find the volume of the solid of revolution bounded by the graphs of f(x) =…

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Q: For Exercises land 2, use the general slicing method to find the volume of the following solid. 1.…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

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

A: We have to determine volumes of solid

Q: Find the volume of the solid whose base is bounded by the circle x2 + y? = 36 and whose cross…

A: Given query is to find the volume of the give solid.

Q: Use the general slicing method to find the volume of the following solid. The solid with a…

A: Given solid: The solid with a semicircular base of radius 5 whose cross-sections perpendicular to…

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 whose base is the region enclosed by y=x^2 and y=4, and the cross…

A: Given: Region enclosed by y=x^2 and y=4. And the cross sections perpendicular to the y-axis are…

Q: Find the volume of the solid Hat is ob tained by revolvig the region about the x-axis.

A: The given curve is y=x-22+3,   1≤x≤4. Compute the volume of solid that obtained by revolving the…

Q: y = x? +9 y= 18

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Q: Draw a typical slice of a pyramid with height 4 units and a rectangular base with length 2 units and…

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Q: Find the volume of the solid whose base is the semicircle y = √4-2 where -2 ≤ x ≤ 2, and the cross…

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Q: Use washers to find the volume formed by rotating the region enclosed by: y = 1.6 – 0.2|x – 11| and…

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Q: use the most convenient method (Disk or Shell Method) to find the volume obtained byrotating region…

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Q: Find the volume of the solid that results when the region enclosed by y = VI, y = 0, and r = 81 is…

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Q: Use the slicing method to find the volume of the solid of revolution bounded by the graphs of f(x) =…

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Q: Find the volume cut from the sphere radius r = 15 by the cone ki+

A: To compute the volume using spherical coordinates, use the following formula. V=∭r2sinθdrdθdϕ

Q: Use the general slicing method to find the volume of the following solid. The solid with a…

A: Given that the solid is with semicircular base of radius 4 whose cross sections perpendicular to the…

Q: Choose the general slicing method, the disk> washer method, or the shell method to answer the…

A: given: x=0, x=lny,x=2-lnyregion in 1st quadrant revolved about y axis

Q: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

A: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = x…

A: NOTE: Refresh your page if you can't see any equations. . given functions are the outer radius is…

Q: 7. 3. x = V1 +y

A: Topic = Volume

Q: Find the volume of the solid whose base is the region enclosed by y=x^2 and y=1, and the cross…

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Q: What is the volume of the torus whose region is inside the circle

A: (x-3)2 + y2 = 1. Take it as the form (x-b)2 + y2 = a2, where b=3 and a=1.

Q: Find the volume of the solid that is formed when the following bounded region is revolved about the…

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Q: Use washers to find the volume formed by rotating the region enclosed by: y = 0.6 – 0.6|x – 12| and…

A: For y=0, 0.6-0.6x-12=0x-12=1x-12=1,x-12=-1x=13,x=11 The inner radius of rotation is,…

Q: 4. Use the general slicing method to find the volume of the following solid. The solid with a…

A: Given data: Radius=17 Solution: The equation of circle with radius 17 is  x2+y2=172 x2+y2=289…

Q: Find the volume of the solid whose base is the semicircle y = v9 – x2 where -3 < x < 3, and the…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.