Explain why chemists might want to prepare substituted hydrocarbons. Give two examples of possible substitutions.

Evaluate the accuracy of the label on the product. Explain if the label is accurate, or if it isn't.

What types of substituted hydrocarbons can react to form esters?

Use series to approximate the definite integral to within the indicated accuracy. $\int_{0}^{0.2}\left[\tan ^{-1}\left(x^{3}\right)+\sin \left(x^{3}\right)\right] d x$ (five decimal places)

Choose a word or expression from the list below to answer the following question in the negative, using the "passé compose'.

• marcher toute la journée

• regarder la Joconde

• dormir

• attendre le train

• finir le contr$\^o$le de maths

• jouer au foot

• acheter des croissants

• regarder la Seine

• attendre ma cousine

• Grand-m$\`e$re et grand-p$\`e$re ont acheté des souvenirs $\`a$ l’h$\^o$tel?

If you toss seven fair coins, in how many ways can you obtain at least one of each (a head and a tail)?

Oximene and myrcene, two hydrocarbons isolated from alfalfa that have the molecular formula

$$\mathrm { C } _ { 10 } \mathrm { H } _ { 16 },$$

both yield 2,6-dimethyloctane when treated with

$$\mathrm { H } _ { 2 }$$

and a Pd catalyst. Ozonolysis of oximene forms

$$\left( \mathrm { CH } _ { 3 } \right) _ { 2 } \mathrm { C } = \mathrm { O } , \mathrm { CH } _ { 2 } = \mathrm { O } , \mathrm { CH } _ { 2 } ( \mathrm { CHO } ) _ { 2 } , \text { and } \mathrm { CH } _ { 3 } \mathrm { COCHO }.$$

Ozonolysis of myrcene yields

$$\left( \mathrm { CH } _ { 3 } \right) _ { 2 } \mathrm { C } = \mathrm { O } , \mathrm { CH } _ { 2 } = \mathrm { O } ( \text {two equiv} ) \text { and } \mathrm { HCOCH } _ { 2 } \mathrm { CH } _ { 2 } \mathrm { COCHO }.$$

Identify the structures of oximene and myrcene.

An NMOS transistor is fabricated in a $0.4-\mu \mathrm{m}$ process having $\mu_{n} C_{o x}=200 \mu \mathrm{A} / \mathrm{V}^{2}$ and $V_{A}^{\prime}=50 \mathrm{V} / \mu \mathrm{m}$ of channel length. If $L=0.8 \mu \mathrm{m}$ and $W=16 \mu \mathrm{m},$ find $V_{A}$ and $\lambda.$ Find the value of $I_{D}$ that results when the device is operated with an overdrive voltage $V_{O V}=0.5 \mathrm{V}$ and $V_{D S}=1 \mathrm{V}.$ Also, find the value of $r_{o}$ at this operating point. If $V_{D S}$ is increased by 2 V, what is the corresponding change in $I_{D} ?$

The optimal height h of the letters of a message printed on pavement is given by the formula $h=\frac{0.00252 d^{2.27}}{e}.$ Here d is the distance of the driver from the letters and e is the height of the driver's eye above the pavement. All of the distances are in meters. Find h for the given values of d and e. d = 100 m, e = 1.2 m

An established method for chlorinated hydrocarbons in air samples has a standard deviation of $0.030$ ppm.

(a) Determine the $95 \%$ confidence interval for the mean of four measurements obtained by this method.
(b) How many measurements should be made if the $95 \%$ confidence interval is to be $\pm 0.017$ ?

Round answers to four decimal places. A fair die is rolled four times. Find the probability of obtaining. Exactly two 6's.

The data in the table show the number of people riding a commuter train at different times of the day. Find a quadratic equation of best fit for the data.

$$\begin{matrix} \text{Time} & \text{4} & \text{5} & \text{6} & \text{7} & \text{8} & \text{9} & \text{10}\\ \text{Number of People} & \text{20} & \text{40} & \text{70} & \text{80} & \text{70} & \text{50} & \text{30}\\ \end{matrix}$$

The optimal height h of the letters of a message printed on pavement is given by the formula $h=\frac{0.00252 d^{2.27}}{e}.$ Here d is the distance of the driver from the letters and e is the height of the driver's eye above the pavement. All of the distances are in meters. Find h for the given values of d and e. d = 25 m, e = 2.3 m

Suppose you toss a fair coin 4 times. Let X = the number of heads you get. Find

$$P(X \leq 3)$$

and interpret the result.