A weak pressure pulse Δp propagates through still air. Discuss the type of reflected pulse that occurs and the boundary conditions that must be satisfied when the wave strikes normal to, and is reflected from, (a) a solid wall and (b) a free liquid surface.

find the general form of the equation of the plane with the given characteristics. Passes through (2, 2, 1) and (-1, 1, -1) and is perpendicular to 2x - 3y + z = 3

How does a spring pulse reflected from a rigid wall differ from the incident pulse?

Find the indicated probabilities. If convenient, use technology to find the probabilities. In a recent year, the ACT scores for the math portion of the test were normally distributed, with a mean of 21.1 and a standard deviation of 5.3. Find the probability that a randomly selected high school student who took the math portion of the ACT has a score that is (a) less than 16, (b) between 19 and 24, and (c) more than 26, and (d) identify any unusual events. Explain your reasoning.

Estimate each product or quotient.

$$\$ 75.45 \div 12.48$$

Two new assembly methods are tested and the variances in assembly times are reported. Use $\alpha =$ .10 and test for equality of the two population variances.

$$\begin{array} { l l } &{ \text { Method } A } & { \text { Method } B } \\ \text{Sample size } & { n _ { 1 } = 31 } & { n _ { 2 } = 25 } \\ \text{Sample Variation } & { s _ { 1 } ^ { 2 } = 25 } & { s _ { 2 } ^ { 2 } = 12 } \end{array}$$

Using

$$f ( x ) = \sin x \text { or } f ( x ) = \cos x$$

as a guide, graph the function. Identify the amplitude and period.

$$g ( x ) = - \cos 4 x$$

Notebooks cost $1.39 each. What are the possible numbers of notebooks that can be purchased with$10?

Complete. t²+ 7t + 10 = (t + 2)(t +_)

Solve the equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

$$x^2 - x - 12 = 0$$

Use a table of integrals to determine the following indefinite integrals. These integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.

$$\int \frac { e ^ { 3 t } } { \sqrt { 4 + e ^ { 2 t } } } d t$$

Describe the relationship between the amplitude of a wave and the energy it carries.

List the factors of each number. Then find the GCF for each pair of numbers. 96 _____ 36 _____ GCF: _____

The number of solutions to the equation sin (2000x) = 3/7 in the interval [0,2π] is (A) 1000. (B) 2000. (C) 4000. (D) 6000. (E) 8000.