Jen, a biologist, is growing bacterial cultures at different temperatures as part of her research. The number of cells in the culture growing at 25°C is given by the polynomial t2+9t +3, where t is the time elapsed in minutes. The number of cells in the second culture growing at 35°C is modeled by the polynomial t2+ 3. She needs to measure the success of the 25°C culture over the 35°C culture. Enter the polynomial representing how many more cells are in the 25°C culture for timet. Enter how many more cells are there after 15 minutes. The 25°C culture has more cells at time t. There are more cells in the 25°C culture after 15 minutes.
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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