The Ehrenberg equation give the relationship between the weight W (in kilograms) and the height h (in meters) of a child between the ages of 5 and13 years old.
a. Research and find the Ehrenberg equation given in metric units(kilograms and meters)
b. Find the relationship of a child of the height of 6 years old.
c. Find the derivative and use this to find the rate of change for your child.
d. Do you think that this is a good model? Why or why not?
e. Are there other models that you might consider? Why or why not?
1. Find the derivative, for the following functions:
2. A popular search engine is targeting European countries where the number of online household is expected to grow at a steady rate. Data was taken over time, and it was found that the number of online houses ( in millions) projected can be modeled by the following function:
The values of t are in years and when t = 0, the year is 2004. Address the following questions:
a. What was the projected number of online households at the beginning of 2005?
b. How fast was the projected number of online households increasing at the beginning of 2005?
3. Light is absorbed when it passed through a glass window. If of light is absorbed by a glass with thickness w, then the percent of light that is absorbed by a piece of glass with a thickness of for any natural number is modeled by the following function:
a. Show that is an increasing function of
b. Sketch the graph of
c. Evaluate and interpret the results