In three hours, James read 18 pages of his history book. In four hours, he read 21 pages. Write the equation of the line that passes through the two points that represent the data in the problem. Use the equation to predict how many pages James will read in six hours.

Simplify: $\dfrac{\cos x}{1-\sin x}+\dfrac{1- \sin x}{\cos x}$

Draw pictures to identify the cross product (do not compute!). $\mathbf{j} \times(\mathbf{j} \times \mathbf{i})$

Either a dielectric or a conductor could be inserted between the plates of a capacitor. (a) State at least two similarities between the effects of inserting a dielectric and inserting a conductor. (b) State at least two differences between the effects of inserting a dielectric and inserting a conductor.

State Farm Insurance studies show that in Colorado, 55% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 10 property damage claims involving automobiles are selected at random. What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution?

Convert each radical expression to its rational exponent form and then simplify. Assume that all variables represent positive numbers. $\sqrt [ 3 ] { x ^ { 12 } }$

Which of these organs lies in the right hypochondriac region of the abdomen? a. Stomach, b. Spleen, c. Cecum, d. Liver.

Find the derivative.

$$y = \csc ^ { - 1 } \left( x ^ { - 1 } \right)$$

Solve each equation by multiplying both sides by the LCD. $\frac { x + 1 } { 3 x - 2 } = \frac { 5 x - 4 } { 3 x + 2 }$

The electric potential is 300 V at x = 0 cm, is -100 V at x = 5 cm, and varies linearly with x. If a positive charge is released from rest at x = 2.5 cm, and is subject only to electric forces, the charge will A. Move to the right. B. Move to the left. C. Stay at x = 2.5 cm. D. Not enough information to tell.

Find the derivative of each function defined as follows.

$$f(t)=8 \sqrt{4 t^{2}+7}$$

State the benefits and limitations of knowing one's genome sequence.

Evaluate the function. If

$$f ( x ) = x ^ { 2 } + 12 x - 8$$

, find f(c - 3).

Amy said she would have solved this problem differently. She saw that she was looking for the difference between the score in the second round, 3, and the score in the first round, -5, so she wrote the expression 3 - (-5) Does her method work? Explain.