The average cost function for the weekly manufacture of retro portable CD players is given by C(x) = 160,000x−1 + 20 + 0.01x dollars per player, where x is the number of CD players manufactured that week. Weekly production is currently 3,000 players and is increasing at a rate of 100 players per week. What is happening to the average cost?

Q: If the growth rate of the number of bacteria at any time t is proportional to the number present at…

A: Here we have to find the no of bacteria expected after two weeks.

Q: In other words, evaluate: V(5) = 25000(0.75), rounding the proper decimal place for money.

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Q: ↑ Using actual and projected data from 2000 through 2050, the number of millions of white…

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Q: The number of people who have attended theme and amusement parks has grown approximately…

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Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: Annual U.S. imports from a certain country in the years 1996 through 2003 can be approximated by…

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Q: A study of driving costs of 2015 model sedan cars found that the average cost (car payments, gas,…

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Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: Determine the best (according to sum-of-squares-measure) curve y = Aebx , through the data above.…

A: According to the given information, it is required to find the curve of the form y=Aebx from the…

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: The function bn is given by:                      bn=2.520n million gallons where, bn represents the…

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.