2.What are a few things worth noting when looking at your table values? Think aboutthe big picture and the fact that you are dealing with projectiles. Show your work for the following:
3.Which rocket traveled higher and by how much? Recall that the yvariable is theheight. (List the heights of each rocket.)
4.When each rocket first hits the ground, which one has traveled farther laterally andby how much? (List distances of each.)
5.Which rocket was in the air longer and by how much? (List the times of each.)
6.
For each rocket, write
t
in terms of
x
. Then substitute this value into the
y
equation.
This is called “eliminating the parameter” and puts
y
as a function of
x
. Simplify
completely. Use exact values. Reduce the fractions to their lowest terms.
1203

In the Modeling Our World features in Chapters 3–5, you used the average yearly temperature
in degrees Fahrenheit ( F) and carbon dioxide emissions in parts per million (ppm) collected by
NOAA in Mauna Loa, Hawaii, to develop linear (Chapter 3) and nonlinear (Chapters 4 and 5)
models. In the following exercises you will determine when these different models actually
predict the same temperatures and carbon emissions. It is important to realize that not only can
different models be used to predict trends, but also the choice of data those models are fitted
to also affects the models and hence the predicted values.
Y
EAR
1960
1965
1970
1975
1980
1985
1990
1995
2000
2005
T
EMPERATURE
44.45
43.29
43.61
43.35
46.66
45.71
45.53
47.53
45.86
46.23
CO
2
EMISSIONS
316.9
320.0
325.7
331.1
338.7
345.9
354.2
360.6
369.4
379.7
(
PPM
)
1.
Solve the system of nonlinear equations governing mean temperature that was found
by using two data points:
Equation (1): Use the linear model developed in Modeling Our World, Chapter 3,
Problem 2a.
Equation (2): Use the quadratic model found in Modeling Our World, Chapter 4,
Problem 2a.
2.For what year do the models used in Problem 1 agree? Compare the value given bythe models that year to the actual data for the year.
3.
Solve the system of nonlinear equations governing mean temperature that was found
by applying regression (all data points):
Equation (1): Use the linear model developed in Modeling Our World, Chapter 3,
Problem 2c.
Equation (2): Use the quadratic model found in Modeling Our World, Chapter 4,
Problem 2c.
4.For what year do the models used in Problem 3 agree? Compare the value given bythe models that year to the actual data for the year.
5.
Solve the system of nonlinear equations governing carbon dioxide emissions that
was found by using two data points:
Equation (1): Use the linear model developed in Modeling Our World, Chapter 3,
Problem 7a.
Equation (2): Use the quadratic model found in Modeling Our World, Chapter 4,
Problem 7a.

#### You've reached the end of your free preview.

Want to read all 10 pages?

- Summer '17
- juan alberto
- Parametric Equations, Conic section