4.An analyst studying the population of a town determines that the population can be modeled by the formula f(t) = 120,000(1.015)', where f(t) represents the population after t years. %3D

Q: The Henderson-Hasselbalch equation relates the pH of a mixture to the con- centration of the base…

A: Derivative of function represents the rate of change of function value. First derivative of function…

Q: Suppose a population grows according to the model P(t) = Po(1.092) where t is measured in years. (a)…

A:

Q: State the main features of the graph of y = ln x.

A:

Q: S%3200000 e° find the growth rate of S.

A: Given query is to find the growth rate.

Q: Give the procedure to fit the following exponential curves, (i) y = a ebx

A:

Q: b. (3.4)' log(14) + v287

A:

Q: A) The population of a country has grown at a rate proportional to the number of people in this…

A: Let the present population be P0 Then t years later the population is Pt and t years ago the…

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: The graph of the function y = 2 ln(2x + 5) + 7 is reflected about the x-axis. The equation of the…

A: Given query is to find the equation of the reflected function.

Q: You have 500 dollars in your bank account. Suppose your money is compounded every month at a rate of…

A:

Q: One class of models for population growth rates in marine fisheries assumes that the harvest from…

A: Given, G=0.4n(1-n2)-0.2n

Q: Consider the following function:     A(P,r,n,t)=P(1+rn)nt     where the variables have the…

A: Given that P=450,r=4.5%=0.045,n=12, and t=9.We plug them in the formula…

Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

Q: Suppose the population of rabbits can be modeled by the function  P = 37 · (1.31)0.2t , where t is…

A:

Q: The scrap value of a machine at the end of its useful life is given by S(n) = C(1-r)", where C is…

A: The given relation of scrap value is, S(n)=C1-rn,  To find: Scrap value if the original cost is…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.