Determine whether the given function is linear,exponential,or neither.For those that are linear functions find a linear function that models the data

The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada $A=33.1e0.009t$

Uganda

$A=28.2e0.034t$

use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. By 2009, the models indicate that Canada's population will exceed Uganda's by approximately 2.8 million.

A researcher is trying to determine the doubling time of a population of the bacterium Giardia lamblia. He starts a culture in a nutrient solution and estimates the bacteria count every four hours. His data are shown in the table. Use a graphing calculator to find an exponential curve f(t)=a⋅bt that models the bacteria population t hours later. Time (hours) 04812162024 Bacteria count (CFU/mL)37476378105130173

Determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear function that models the data. for those that are exponential, find an exponential function that models the data. xg(x) -12 05 18 211 314

Transform the given differential equation or system into an equivalent system of first-order differential equations.
${\displaystyle t^3{x}^{\left(3\right)}-2t^{2}x{}^{″}+3t{x}^{\prime }+5x=\ln t}$

Transform the given differential equation or system into an equivalent system of first-order differential equations.
${\displaystyle x^{\left(4\right)}+6x{}^{″}-3x^{\prime }+x=\cos 3t}$

Determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear function that models the data. for those that are exponential, find an exponential function that models the data. $$\text{Misplaced hline}$$

Find the derivative of ${\displaystyle y=e^{5x}}$