How do functions help you to reuse code in a program?

How can a stream be part of more than one watershed?

Find each unit rate. A pump moves 42 gal in 7 min.

What is the source of the enormous amount of energy released by a hurricane?

Show that the average value of $\cos^2 t\ \ \text{over}\ \ [0,2\pi]$ is equal to 1/2. Without further calculation, determine whether the average value of $\cos^2 t\ \ \text{over}\ \ [0,\pi]$ is equal to 1/2

For below defined function $f'$, find $f''(x)$, then use a graphing calculator to graph $f'$ and $f''$ in the indicated window. Use the graph to do the following. (a) Give the (approximate) $x$-values where $f$ has a maximum or minimum. (b) By considering the sign of $f'(x)$, give the (approximate) intervals where $f(x)$ is increasing and decreasing. (c) Give the (approximate) $x$-values of any inflection points. (d) By considering the sign of $f''(x)$, give the intervals where $f$ is concave upward or concave downward. $f'(x) = x^2 + x \ln x;\ \ \ \ \ [0, 1]$ by $[-2, 2]$

A bag contains number slips numbered 1 to 9. Determine whether the events are independent or dependent, and find the indicated probability. selecting 2 even numbers when 2 slips are chosen without replacement.

Two pathways, homologous recombination and nonhomologous end joining (NHEJ), can repair double-strand breaks in DNA. If homologous recombination is an errorfree pathway whereas NHEJ is not always error free, why is NHEJ used most of the time in eukaryotes?

Suppouse that

$$\int_{0}^{4} f(x) d x=5 \text { and } \int_{0}^{2} f(x) d x=-3\quad \int_{0}^{4} g(x) d x=-1 \quad \text { and } \quad \int_{0}^{2} g(x) d x=2$$

. Then compute the integral

$$\int_{2}^{4}(f(x)-g(x)) d x$$

Perform the indicated operations. |-11|-|-5|-|7|+|-2|

Let G = (V, E) be a loop-free connected undirected graph with $|V| \geq 3.$ If G has no articulation points, prove that G has no pendant vertices.

AVS Industries has determined that the combined fixed and variable expenses for the production and sale of 800,000 items are $24,000,000. What is the price at the breakeven point for this Item?

Determine the value of the literal numbers in each of the given matrix equalities. If the matrices cannot be equal, explain why.

$$\begin{bmatrix} x & 2y & z \\ r/4 & -s & -5t \end{bmatrix} = \begin{bmatrix} -2 & 10 & -9 \\ 12 & -4 & 5 \end{bmatrix}$$

Davinder ( D ) and Mikhail ( M ) were 2 miles apart when they began walking toward each other. D walks at a constant rate of 3.7 miles per hour, and M walks at a constant rate of 4.3 miles per hour. When they started, D's dog, who runs at a constant rate of 6 miles per hour, ran to M and then turned back and ran to D. If the dog continued to run back and forth until D and M met and the dog lost no time turning around, how far did it run?