For the given situation, what is the critical value(s) for $z$ or $t$?

b) $\mathrm{H}_0: p=0.05$ vs. $\mathrm{H}_{\mathrm{A}}: p>0.05$ at $\alpha=0.05$.

Let g be the function $g(x)=\frac{x \ln x-x}{x+1}$. Which of the following is a critical number of g? (A) -1, (B) 0.368, (C) 0.567, (D) 2.718.

Graph the function. Then determine critical values, inflection points, intervals over which the function is increasing or decreasing, and the concavity.

$f(x)=3-e^{-x}$, for $x \geq 0$

Use a dictionary to answer the question below about the Critical Vocabulary words.

Which meaning of paraphernalia is most closely related to the word's origin?

In the given problem, find the critical values, the intervals on which f(x) is increasing, the intervals on which $f(x)$ is decreasing, and the local extrema. Do not graph.

$$f(x)=x^3(x-5)^2$$

In the given problem, find the critical values, the intervals on which f(x) is increasing, the intervals on which $f(x)$ is decreasing, and the local extrema. Do not graph.

$$f(x)=x^4(x-6)^2$$

Explain which choice accurately fits the meaning of the Critical Vocabulary word.

Would peppermint tea or burning rubber have an acrid odor?

A formula for the derivative of a function $f$ is given. How many critical numbers does $f^{\prime}(x)=\dfrac{100 \cos ^2 x}{10+x^2}-1$ have?

In the given exercise below, find the critical points and apply the Second Derivative Test (or state that it fails).

$$\sin x \cos ^3 x, \quad[0, \pi]$$

Find the critical numbers, the intervals where the function is increasing and decreasing, and the relative maximum and minimum values. Draw the graph.

$$f(x)=x^3+3 x^2-1$$

Complete the sentence in a way that shows your understanding of the Critical Vocabulary word.

They met to ruminate on possible solutions before they made a decision because ...

A manufacturing firm's cost of goods manufactured is equivalent to a merchandising firm's:

• a. Cost of goods sold.
• b. Cost of goods purchased.
• c. Cost of goods sold.
• d. Beginning inventory
• e. Ending inventory

Obtain equations equivalent to the discussed equation for critical Reynolds numbers of $3 \times 10^5, 10^6$, and $3 \times 10^6$.

In given problem, identify the critical point and find the maximum value and minimum value on the given interval.

$$f(x)=x^4-2 x^2+2 ; I=[-2,2]$$