A human being can swim at a maximum rate of 7.4 feet per second. The function y = 7.4x describes how many feet y a person can swim in x seconds. Graph the function. Use the graph to estimate the maximum number of feet a person can swim in 4.5 seconds.

Sketch the graph of each function by transforming the graph of an appropriate function of the form

(a) Explain what is meant by $\lim _{x \rightarrow a} f(x)=L.$ (b) If $\lim _{x \rightarrow 2} f(x)=5,$ is it possible that f(2) = 3? (c) Find $\lim _{x \rightarrow 2} x^{2}.$

A half-dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be?

Use the Factor Theorem to show that the statement in the exercise is true. Show that x + 4 is a factor of the polynomial $P(x)=x^{5}+4 x^{4}-7 x^{3}-23 x^{2}+23 x+12$

True/False: a and (b or c) == (a and b) or (a and c)

Find the exact value. $\csc \frac{9 \pi}{4}$

True/False: The statement myShape.move (10,20) moves myShape to the point (10,20).

On the average, each human has about six recessive alleles that would be lethal if expressed. Why do you think that human cultures have laws against marriage between close relatives?

Perform the indicated elementary row operation.

$$\left[\begin{array}{rrrr}{-5} & {2} & {-3} & {3} \\ {10} & {-3} & {1} & {-20} \\ {-1} & {3} & {1} & {8}\end{array}\right]$$

Add 2 times Row 1 to Row 2.

For the given functions f and g, find: $g \circ g$, $f(x)=x^{2} ; \quad g(x)=x^{2}+4$

Which feature of water explains why water has high surface tension? A. water diffuses into cells. B. water’s resistance to temperature changes. C. water is a polar molecule. D. water expands when it freezes.

A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each piece is bent into the shape of a square. Find the value of x that minimizes the total area of the two squares.

How is the role of pancreatic hormones in glucose regulation important for homeostasis?