Consider the following parametric equations. Describe the curve.

$$x = t ^ { 3 } - 1$$

, y=5t+1;

$$- 3 \leq t \leq 3$$

We assume that n people are arranged in a circle and numbered 1, 2, ..., n clockwise. Then, processing clockwise, 2 is eliminated, 4 is eliminated, and so on, until there is one survivor, denoted J(n). Compute J(100,000).

(a) Classify the $^{1} \mathrm{H}$ nuclei in 1-chloro-4-bromobenzene into chemically or magnetically equivalent groups. Give your reasoning. (b) Classify the $^{1} \mathrm{H}$ nuclei in 1, 2, 3-trichlorobenzene into chemically or magnetically equivalent groups. Give your reasoning.

Gold is a dense metal, with a density of $1.93\times 10^{4} \mathrm{~ kg/m^{3}}$ at T =300 K. (a) If gold has exactly one conduction electron per atom, what is its Fermi energy? Compare your result with the measured value. (b) If the electrons in gold were treated as a classical ideal gas, what would be their mean thermal energy (also at 300 K)? Explain the large discrepancy between your answers in (a) and (b).

Solve the given problems. Use a calculator to solve if necessary.

Each of three revolving doors has a perimeter of 6.60 $\mathrm{m}$ and revolves through a volume of 9.50 $\mathrm{m}^{3}$ in one revolution about their common vertical side. What are the door's dimensions?

A syndesmosis is ________. a. a narrow fibrous joint b. the type of joint that unites bones of the skull c. a fibrous joint that unites parallel bones d. the type of joint that anchors the teeth in the jaws

How many real solutions does the equation $\frac{x^{2}+2 x+2}{(x-1)(x-3)}=0$ have? A. 0 B. 1 C. 2 D. Infinitely many

Find the sum. 63 + 97 + 21

Describe the general functions of the autonomic nervous

Write an algebraic expression for each phrase. 2 less than the product of 5 and n

Find the expected payoff of the game matrix

$$\left[\begin{array}{ll} 4 & 0\\ 2 & 3 \end{array}\right]$$

for the given strategies:

$$P=[1/2 \ \ 1/2]\quad Q=\left[\begin{array}{l} 1/2\\ 1/2 \end{array}\right]$$

Evaluate each polynomial for x = -3 and y = 2.

$$x ^ { 2 } - y$$

How does conflict theory explain the roles and functions of families?

How would you say 'You pass it (3rd person sing.)!' in Spanish?