(b) Use the table feature of the graphing utility to create a table of values for the same time period as in part (a). (Round your answers to two decimal places.) Yoar 2035 2036 2037 2038
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.
![(b) Use the table feature of the graphing utility to create a table of values for the same time period as in part (a). (Round your answers to two decimal places.)
Year
2025
2026
2027
2028
P
Year
2029
2030
2031
2032
P
Year
2033
2034
2035
2036
P
Year
2037
2038
2039
2040
P
Year
2041
2042
2043
2044
P
Year
2045
2046
2047
2048
P
Year
2049
2050
2051
2052
Year
2053
2054
2055
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ff91fa-fde1-47cc-bcac-170d9b2fe11c%2F34f89cf7-93fc-4125-b293-9c7f14f21cb5%2Fyn2m4r7_processed.png&w=3840&q=75)
![The projected population of the United States for the years 2025 through 2055 can be modeled by P = 307.58e0.0052t, where P is the population (in millions) and t is the time (in years),
with t = 25 corresponding to 2025.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ff91fa-fde1-47cc-bcac-170d9b2fe11c%2F34f89cf7-93fc-4125-b293-9c7f14f21cb5%2Femy7u1_processed.png&w=3840&q=75)
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