The mass of bacteria in a labaratory experiment increases exponentially by 22% each hour. The mass of bacteria was 8 micrograms when the experiment began. You are interested in predicting how long it will take for the mass of bacteria to reach 100 micrograms. 140 # of micrograms a. Define a function f to represent the mass of bacteria (in micrograms) as a function of the number of hours t since the experiment began. 120 f(t) = Preview syntax error Enter an algebraic expression (more 100 b. What output value are we looking for based on the problem context? 80 micrograms Preview 60 c. After completing parts (a) and (b), use the graph to determine how long it will take for the mass of bacteria to reach 100 micrograms. 40 x hours Preview 20 2. 4. 8. 10 12 14
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.
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The mass of bacteria in a labaratory experiment increases exponentially by 22% each hour The mass of bacteria was 8 micrograms when the
experiment began You are interested in predicting how long it will take for the mass of bacteria to reach 100 micrograms
a. Define a function f to represent the mass of bacteria (in micrograms) as a
function of the number of hours t since the experiment began.
140
# of micrograms
120
f(4)
Preview
syntax error
Enter an algebRIC expression (more ]
100
b. What output value are we looking for based on the problem context?
80
* micrograms
Preview
60
c. After completing parts (a) and (b), use the graph to determine how long it
will take for the mass of bacteria to reach 100 micrograms.
40
hours
Preview
20
4
6 8
10
12
14
Submit
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