A new exhibit hall at a convention center has a floor bounded by x 0, x= 100, y=-100+0.01x, and y= 100 -0.01x. The ceiling lies on the graph of C(x,y) = 25-0.09x. (Each unit on the x, y, and z axes represents one foot.) Find the volume of the exhibit hall (in cubic feet).

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A: Given that, the function is fx=x-14xx-10x+3 and the region is x=1 to x=14. It is known that, the…

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A: Follow the procedure given below.

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A:

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A: Volume of solid obtained by revolving is given as Volume=∫ab πfx2dx

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A: Part (a):

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A:

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A: Solution is given below:

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A:

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Q: 2Ay-3-2r

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A:

Q: By sketching the graph, find the volume of the solid generated by revolving the region bounded by…

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A:

Q: The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is the disk x2+y2≤a2, where a is the radius as shown below: The boundary…

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A:

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Q: Find the volume of the solid bounded above by the graph of x2 + y2 +z2 = 5 and below by the graph of…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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.