Connect to Life Do you think the things Anaya learned from his grandfather are relevant to your life today? Why or why not?

John spent a quarter of his life as a boy growing up, one-sixth of his life in college, and one-half of his life as a teacher. He spent his last six years in retirement. How old was he when he died?

Aerobic power In exercise physiology, aerobic power $P$ is defined in terms of maximum oxygen intake. For altitudes up to $1800$ meters, aerobic power is optimal-that is, $100 \%$. Beyond $1800$ meters, $P$ decreases linearly from the maximum of $100 \%$ to a value near $40 \%$ at $5000$ meters.

Express aerobic power $P$ in terms of altitude $h$ (in meters) for $1800 \leq h \leq 5000$.

You and your physiology instructor are trapped in an overturned ship. To escape, you must swim under water a long distance. You tell your instructor it would be a good idea to hyperventilate before making the escape attempt. Your instructor calmly replies, “What good would that do, since your pulmonary capillaries are already 100 percent saturated with oxygen?” What should you do and why?

In Exercise, find $d y / d x$

$$y = \ln ( 2 + \sqrt { x } )$$

These are selected 2014 transactions for Amarista Corporation:

Jan.  1 Purchased a copyright for $120,000. The copyright has a useful life of 6 years and a remaining legal life of 30 years.
Mar.  1 Purchased a patent with an estimated useful life of 4 years and a legal life of 20 years for$54,000.
Sept. 1 Purchased a small company and recorded goodwill of $150,000. Its useful life is indefinite.

Instructions

Prepare all adjusting entries at December 31 to record amortization required by the events.

Create a poster titled, "The Life Cycle of the Sun." Draw and label pictures or diagrams to represent all the predicted stages in the Sun's life cycle.

Life in the Next Century. Example 5 assumed that the life expectancy between $2000$ and $2100$ would increase by the same absolute amount as it did between $1900$ and $2000$. Suppose instead that life expectancy between $2000$ and $2100$ increases by the same percentage as it did between $1900$ and $2000$.

What would the life expectancy for women be in $2100$? Do you think this calculation gives a more or less realistic estimate than the said example of life expectancy in $2100$? Explain.

Why should a radionuclide used in diagnostic work have a short half-life? If the half-life is too short, what problem arises?

Suppose that the useful life of a particular car battery, measured in months, decays with parameter $0.025$. We are interested in the life of the battery.

Is $X$ continuous or discrete?

In a certain undeveloped country, the life expactancy of a person t years old is L(t) years, where $L(t)=41.6(1+1.07 t)^{0.13}.$ a. What is the life expectancy of a person in this country at birth? At age 50? b. What is the average life expectancy of all people in this country between the ages of 10 and 70? c. Find the age T such that L(T) = T. Call T the life limit for this country. What can be said about the life expectancy of a person older than T years? d. Find the average life expectancy L, over the age interval $0 \leq t \leq T.$ Why is it reasonable to call L, the expected length of life for people in this country?

List three real-life uses of congruent triangles. For each real-life use, describe why you think congruence is necessary.

In this exercise, solve the given equations.

$$|2 x-3|=5$$

List three real-life uses of congruent triangles. For each real-life use, describe why you think congruence is necessary.