In a laboratory experiment, the population of bacteria in a petri dish started off at 160 and is growing exponentially at 6% per hour. Write a function to represent the population of bacteria after tt hours, where the rate of change per minute can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per minute, to the nearest hundredth of a percent. Write the function and the percent of growth or decay per minute

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Q: function

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A: The standard form of an exponential function is as follows:

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Q: In 2017, the population of a district was 20,800. With a continuous annual growth rate of…

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Q: find the exponential function

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Q: Explain why the f(x)=x^2 is not an exponential function.

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Q: what is the equation of the exponential function that goes through the points (1,10) and (4,80)?

A: solution:-

Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

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Q: . Determine whether a linear or an exponential function is the better fit for the data in the table.…

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Q: A radioactive substance, calculuism, has a half life of 72 years. If the amount after 40 years is 92…

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Q: The number of asthma sufferers in the world was about 83 million in 1990 and has been increasing…

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Q: Without graphing, determine whether the function y=(5.2)xy=(5.2)x represents exponential growth or…

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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.