Find and simplify the expression if $f(x)=x^{2}-4$. $f(2)+f(h)$

The potential at a point in space has a certain value, which is not zero. Is the electric potential energy the same for every charge that is placed at that point? Give your reasoning.

For each of the following functions, find and classify any stationary points. Sketch the function, showing all important features. $f(x)=x^{4}-6 x^{2}+8 x-3$

The registrar’s report at State University includes the following information: Total enrollment—47,348. Enrollment in the Arts and Science College—27.837. Number of males enrolled in Arts and Sciences—12,722. The alumni magazine wants to interview a randomly selected student about the student’s attitude toward university athletics. The registrar’s office makes a random selection and observes the student is enrolled in Arts and Sciences. Find the probability the students is a male.

A 5-oz serving of a Bloody Mary contains 14 g of alcohol and 5 g of carbohydrates, and thus 116 Calories. A 2.5-oz serving of a martini contains 22 g of alcohol and a negligible amount of carbohydrates, and thus 156 Calories. An average person burns 600 Calories per hour while exercising on a cross-country ski machine. Determine how long it will take to burn the calories from one serving of (a) a Bloody Mary and (b) a martini on this cross-country ski machine.

Choose the word or phrase that best answers the question. What type of compounds form the DNA molecule? A) amino acids B) nucleotides C) polymers D) carbohydrates

Perform the division.

$$\frac { x ^ { 5 } + 3 x + 2 } { x ^ { 3 } + 1 + 2 x }$$

Evaluate the expression.

$$5 !$$

Use an area argument to show that $\ln 2<1$.

Solve each equation.

$$3.2 n = 27.52$$

Describe the positions of the sun, Earth, and the moon during a full moon and during a quarter phase.

Find the vertical asymptotes (if any) of the graph of the function.

$$f(x)=\frac{e^{-2 x}}{x-1}$$

A speedboat moving at 30.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.50 m/s$^2$ by reducing the throttle. What is the velocity of the boat when it reaches the buoy?

Gigantism is a problem of the endocrine system caused when the pituitary gland secretes too much growth hormone during childhood before the bones have completed their growth cycle. As a result the body's long bones become overdeveloped. The person grows to an abnormally tall height. This very rare disorder can be the result of a tumor in the pituitary gland. A related disorder, acromegaly (ak-roh-MEG-uh-lee), occurs when the production of growth hormone continues after the normal growth cycle has ended. People with acromegaly experience abnormal growth of bones in the face, hands, feet and skull. In which type of publication would this passage most likely appear? (a) Encyclopedia, (b) Fictional novel, (c) Letter from a doctor, (d) A pamphlet.