You need to do a series of calculations involving the motion of an object. Another student hands you predefined parameters of the problem; you see that she has defined $x_i=-53.4 \mathrm{~m}$ and $x_f=71.6 \mathrm{~m}$. How might you redefine the problem so as to make it easier to solve?

Give the isomers of $\mathrm{C}_4 \mathrm{H}_{10} \mathrm{O}$ that are ethers.

Which of the points P(6,2,3), Q(-5,-1,4), and R(0,3,8) is closest to the xz-plane? Which point lies in the yz-plane?

Imagine that you are a scientist. You are studying an area that gets about 100 cm of rain each year. The average summer temperatures are near 30°C. What biome are you in? What plants and animals are likely to live in this area? If you stayed in this area for the winter, what kinds of preparations might you need to make?

What is the oxidation state of sulfur in the following compounds?
(b) $\mathrm{SCl}_2 ;$

Carry out the estimate a. by the Euler method and b. by the Runge-Kutta method. Solve the initial-value problem and obtain the actual value of the quantity you have estimated. Indicate the accuracy of each of your estimates by giving

$$\text{the relative percentage error} =\dfrac{y_{\text {actual }}-y_{\text {stimated }}}{y_{\text {actual }}} \times 100 \%$$

Estimate $y(1)$ if $y^{\prime}=x+y$ and $y(0)=2$, setting $h=0.1$.

Identify the term that best completes the following sentences. By issuing fewer and fewer_____, the EPA hopes to reduce sulfur dioxide emissions.

$$\begin{matrix} \text{a. acid rain} & \text{e. opportunity cost }\\ \text{b. division of labor } & \text{f. outsourcing }\\ \text{c. gasohol } & \text{g. pollution permits }\\ \text{d. globalization} & \text{h. subsistence}\\ \end{matrix}$$

Find an equation of the plane. -Distance Find the distance between the point (3, -2, 4) and the plane 2x - 5y + z = 10.

A man sits in a seat that is hanging from a rope. The rope passes over a pulley suspended from the ceiling, and the man holds the other end of the rope in his hands. What is the tension in the rope, and what force does the seat exert on him? Draw a free-body force diagram for the man.

Calculate the pH of each of the following given the molar hydrogen ion concentration.

egg white, $\left[\mathrm{H}^{+}\right]=0.00000001 \mathrm{M}$

A deck of 52 cards is mixed well, and 5 cards are dealt. a. It can be shown that (disregarding the order in which the cards are dealt) there are 2,598,960 possible five-card hand s, of which only 1287 are hands consisting entirely of spades. What is the probability that a hand will consist entirely of spades? What is the probability that a hand will consist entirely of a single suit? b. It can be shown that exactly 63,206 hands contain only spades and clubs, with both suits represented. What is the probability that a hand consists entirely of spades and clubs with both suits represented? c. Using the result of Part (b), what is the probability that a hand contains cards from exactly two suits?

Factor: $x^3+6 x^2$ Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

$$2 x^2+2 x-8$$

What are list1 and list2 after the following lines of code?

list1 = [1, 43]
list2 = [x for x in list1]
list1[0] = 22