Solve the initial value problem. $y^{\prime \prime}+2 y^{\prime}+10 y=0, y(0)=1, y^{\prime}(0)=0$

In following problem, solve given equation for q.

$$q^2 + 7731q = 0$$

Solve the initial-value problem. $y^{\prime \prime}-2 y^{\prime}-3 y=0, \ y(0)=2, \ y^{\prime}(0)=2$

Suppose $f(3)=2$, $f^{\prime}(3)=\frac{1}{2}$, and $f^{\prime}(x)>0$ and $f^{\prime \prime}(x)<0$ for all $x$. Is it possible that $f^{\prime}(2)=\frac{1}{3}$? Why?

Leamos/Escribamos El señor Calderón cree que todo era mejor en su época. Termina sus quejas con una descripción de cómo era su vida cuando era joven. Usa el articulo si es necesario.

Ya no se puede caminar por las calles de noche. Antes eran menos ___________.

Another D-2-ketohexose, psicose, yields a mixture of allitol and altritol when reduced with ${NaBH}_4$ (see Problem 44). Determine the structure of psicose.

Problem 44:

One of the D-2-ketohexoses (see the previous problem) is called sorbose. On treatment with ${NaBH}_4$, sorbose yields a mixture of gulitol and iditol. What is the structure of D-sorbose? (Gulitol and iditol are the alditols acquired by reduction of gulose and idose.)

Previous problem:

How many D-2-ketohexoses are there? Sketch them.

Answer the exercise given below.

Let $f(x)=x^2-2 x$. Find:

(a) $f^{\prime}(x)$

(b) $f^{\prime}(-1), f^{\prime}(1), f^{\prime}(2)$

“Sunk costs are easy to spot—they’re the fixed costs associated with a decision.” Do you agree? Explain.

For the following exercises, use the intersect function on a graphing device to solve each system. Round all answers to the nearest hundredth.

$$\begin{array}{c} 0.5 x+0.3 y=4 \\ 0.25 x-0.9 y=0.46 \end{array}$$

Determine the derivative of the given problem.

$$f(x)=\sqrt{\frac{1}{x^3}}$$

Complete the following sentence using the imperfect form of the verb in parentheses. Follow the model.

Modelo Nosotros (ir) íbamos_______ a la escuela todos los días.

¡Mi mamá (ser)_______ muy traviesa de niña!

Ten days later, A.P.'s mother calls you and states, "I think she has lice again! We worked so hard to get rid of them and clean everything. Is there something else we can use to treat her? What do we do now?" 9. What would you tell A.P.'s mother at this time? 10. List 3 Internet resources A.P.'s mother may find helpful. 11. A.P.'s pediatrician prescribes spinosad (Natroba) at this time. You will provide teaching to A.P.'s mother. Which statements are correct? Select all that apply, and correct the ones that are incorrect. a. Apply Natroba to wet hair. b. Shake the bottle before using. c. Leave it on the scalp without rinsing for 24 hours. d. An adult needs to apply the medication to A.P.'s scalp. e. A second treatment, if needed, may be applied in 1 week. f. After the medication is washed off, use a fine-tooth comb to remove treated lice and nits from the hair and scalp.

Find the first four terms as well as the tenth term of the sequence with the given $n$th term.

$$a_n=(-1)^n \frac{2^n}{n}$$

What were you like when you were younger? Think of several words that describe you. Then, use them in sentences about yourself. One has been done for you.

$$\begin{array}{|l|l|} \hline \text { Palabras descriptivas } & \text { Oración sobre mí } \\ \hline \text {generoso(a)} & \begin{array}{l} \text {Era muy generoso(a)} \text { con mis } \\ \text {hermanos pequeños.} \end{array} \\ \hline & \text{Era} \\ \hline & \text{Era}\\ \hline & \text{Era} \\ \hline \end{array}$$