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#### Mathematics Samples

#### Mass of Planets in Solar System, Gravitational Acceleration and Pendulum Period

Using the internet, I need to find the mass and radius of three of the nine planets in our solar system. Be sure that the masses are expressed in kilograms and the radii are expressed in meters.
Using the data, calculate the gravitational acceleration on each of the three planets you selected. Note: With the masses measured in kilograms and the radii in meters, the units of gravitational acceleration would turn out to be meters per squared seconds.
Use the gravitational accelerations that were calculated in Step 2 to find the period of a 2 meter long simple pendulum on each of the nine planets. Note: The length of a simple pendulum is normally expressed in meters, so it is sufficient...

#### Relations vs Functions and Celsius-Fahrenheit Temperature Conversion

In the real world, what might be a situation where it is preferable for the data to form a relation but not a function?
There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. If we use the following data points:
Fahrenheit Celsius
Freezing point of water 32 0
Boiling point of water 212 100
Whas is the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius?
What is the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.
H...

#### Ways to teach surface area and volume

You are part of a panel of parents, teachers, and administrators working to revise the geometry curriculum for the local high school. On tonight's agenda, you will be brainstorming creative ways to teach surface area and volume. The teachers are especially interested in methods which will help the students connect geometry to life in the "real world" because student motivation has sometimes been lacking in this course. What suggestions do you make to the panel during your discussion? Why do you think students would benefit from this idea being used in the classroom? Explain your idea in at least two paragraphs. Include references.

#### Price of a Forward Contract

You enter into a forward contract to buy a 10-year, zero coupon bond that will be issued in one year. The face value of the bond is $1,000, and the 1-year and 11-year spot interest rates are 3 percent per annum and 8 percent per annum, respectively. Both of these interest rates are expressed as effective annual yields.
a. What is the forward price of your contract?
b. Suppose both the 1-year and 11-year spot rates unexpectedly shift downward by 2 percent. What is the price of a forward contract otherwise identical to yours?