Calculus AB - Use Exponential Models with Differential Equations

1

Derive the general solution of the exponential growth model from the differential equation $\frac{dy}{dt} = ky$

2

Derive the general solution of the exponential growth model from the differential equation $\frac{dy}{dt} = ky$

3

When the exponent is negative for the exponential growth model, what does this mean in terms of the population’s growth?

4

When the exponent is negative for the exponential growth model, what does this mean in terms of the population’s growth?

5

Which of the following is the logistic growth model?

6

Which of the following is the logistic growth model?

7

True or False: The exponential growth model imposes a carrying capacity on the population being modeled.

8

True or False: The exponential growth model imposes a carrying capacity on the population being modeled.

9

Derive the general solution of the logistic growth model from the following differential equation $\frac{dy}{dy} = ky(1-\frac{y}{L})$ . (Note that at , )

10

Derive the general solution of the logistic growth model from the following differential equation $\frac{dy}{dy} = ky(1-\frac{y}{L})$ . (Note that at , )

Use Exponential Models with Differential Equations

Practice Questions