Understanding Exponential Models: Equations and Examples

We need to know what is the difference between free and finitely generated modules?

Aditya Bhandari2022-11-03

If f(x) = x ^ 2 and g(x) = x - 3 find the composite functions f o g and gof.

yakige8425 2022-08-30

A bacteria that grows according to the function 𝑓(𝑡) = 500𝑒^0.05𝑡
, where 𝑡 is measured in minutes.
a) How many bacteria are present in the population after 4 hours?
b) When does the population reach 100 million bacteria?

atestiguoki 2022-08-03

The exponential model $A = 795.5 e^{0.007 t}$ describes the population.

kurvaeranna567 2022-06-25

Kaylee May Fontejon2022-05-26

A certain radioactive material that initially has a mass of 2,340 grams has a half life of 6 years.What will be its mass after 20 years,assuming that its decay rate is exponential

Ben Shaver 2022-01-06

Which set of ordered pairs could be generated by an exponential function?
A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)
B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)

zakinutuzi 2021-12-31

Furthermore why is it that $e^{x}$ is used in exponential modelling? Why aren't other exponential functions used, i.e. $2^{x}$ , etc?

David Lewis 2021-12-30

I have a real valued number $y_{t}$ . At each time step t, $y_{t}$ is multiplied by $(1 + ϵ)$ with probability p and multiplied by $(1 - ϵ)$ with probability $1 - p$ . What is the expected value of $y_{t + n}$ ? What is the variance?

Ikunupe6v 2021-12-21

What is the difference between linear growth and exponential growth?

Patricia Crane 2021-12-15

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

Inyalan0 2021-12-09

Solve $e^{x} = 0$

Julia White 2021-12-09

Differentiate, please: $y = x^{x}$ .

lwfrgin 2021-09-21

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.
$x F (x) - 1 (\frac{1}{2}) 0 (\frac{1}{4}) 1 (\frac{1}{8}) 2 (\frac{1}{16}) 3 \frac{1}{32}$

Suman Cole 2021-09-20

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

avissidep 2021-09-18

James rents an apartment with an initial monthly rent of $1,600. He was told that the rent goes up 1.75% each year. Write an exponential function that models this situation to calculate the rent after 15 years. Round the monthly rent to the nearest dollar.

Joni Kenny 2021-09-11

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.
$\begin{matrix} x & g(x) \\ −1−1 & 3 \\ 0 & 6 \\ 1 & 12 \\ 2 & 18 \\ 3 & 30 \end{matrix}$

Mylo O'Moore 2021-08-16

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. When does population increase the fastest in the threshold logistic equation $P^{'} (t) = r P (1 - \frac{P}{K}) (1 - \frac{T}{P}) ?$

Phoebe 2021-08-11

Find The Exponential Function $f (x) = a^{x}$ Whose Graph Is Given.

nicekikah 2021-08-08

For the following exercises, use a graphing utility to create a scatter diagram of the data given in the table. Observe the shape of the scatter diagram to determine whether the data is best described by an exponential, logarithmic, or logistic model. Then use the appropriate regression feature to find an equation that models the data. When necessary, round values to five decimal places.
$\begin{array}{ccccccccccc} x & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\ f (x) & 13.98 & 17.84 & 20.01 & 22.7 & 24.1 & 26.15 & 27.37 & 28.38 & 29.97 & 31.07 & 31.43 \end{array}$

When you are looking for exponential function questions and answers, there are at least six transformations that you must use. Some examples with detailed solutions can be found below. Think about exponential function questions to see what approaches have been used, depending on what question has been asked. It will help you to understand the way things can be explained either in words or with a help of a graph. Start with an exponential model equation and proceed from there by using samples. There are also exponential growth questions that will be helpful as you learn.

Calculus 1

Exponential Model Examples: Learn with Our Experts