The solubility of $\mathrm{PbCrO}_4$ is $1.7 \times 10^{-4} \mathrm{~g} / \mathrm{L}$. Calculate the $K_{\text {sp }}$ value for $\mathrm{PbCrO}_4$.

Find the one-sided limit. $\lim _{x \rightarrow-2^{+}}\left(3 x^{2}-8\right)$

In given problem, evaluate each improper integral or show that it diverges.

$$\int_1^{\infty} \frac{d x}{x^{0.99999}}$$

Use this chart to define idioms that are either used or referred to in the poems. If the idiom is not used correctly, correct it. Then, rewrite the idiom in formal language that means the same thing.

$$\begin{array}{|l|l|l|} \hline \text { IDIOM } & \begin{array}{l} \text { CORRECTION IF } \\ \text { NEEDED } \end{array} & \begin{array}{l} \text { REWRITE IN FORMAL } \\ \text { LANGUAGE } \end{array} \\ \hline \begin{array}{l} \text { Look who's talking! } \\ \text { (from "Morning Talk') } \end{array} & & \\ \hline \end{array}$$

Name the element represented by the following symbol and indicate if they have no stable isotopes.

Cf

The $65-\mathrm{mm}$-diameter solid shaft shown is subjected to torques of $600 \mathrm{~N} \cdot \mathrm{m}$ and $1400 \mathrm{~N} \cdot \mathrm{m}$ at points $B$ and $C$, respectively. Determine the maximum shear stress in the shaft, changing the diameter of segment $II$ of the shaft to $55$ $\mathrm{mm}$.

Find the equation of the tangent line to each curve when $x$ has the given value. Verify your answer by graphing both $f(x)$ and the tangent line with a calculator.

$$f(x)=4 \sqrt{x} ; x=9$$

Find (A) $f^{\prime}(x)$. (B) The slope of the graph of f at x=2 and x=4. (C) The equations of the tangent lines at x=2 and x=4. (D) The value(s) of x where the tangent line is horizontal. $f(x)=6 x-x^{2}$

While listening a second time, turn to the page with the text of the monologue and mark the text by highlighting punctuation. Also place an asterisk $\left({ }^{\star}\right)$ next to interesting use of language that helps you understand the persona of the speaker and the intended audience.

How to reduce cost of goods sold?

An unrealistic feature of the Lotka–Volterra model is that the prey exhibits unlimited growth in the absence of the predator. The model described by the following system remedies this shortcoming (in the model, we assume that the prey evolves according to logistic growth in the absence of the predator; the other features of the model are retained):

$$\begin{gathered} \frac{d N}{d t}=2 N\left(1-\frac{N}{10}\right)-3 P N \\ \frac{d P}{d t}=P N-3 P \end{gathered}$$

(a) Draw the zero isoclines

(b) Determine whether the nontrivial equilibrium is locally stable.

The line tangent to the curve y=h(x) at x=4 is y=-3x+14. Find an equation of the line tangent to the following curves at x=4. a. $y=\left(x^{2}-3 x\right) h(x)$. b. y=h(x)/(x+2)

Divide, if possible.

-56/14

Name the element represented by the following symbol and indicate if they have no stable isotopes.

Fr