Follow the instructions in parentheses.

Example: He walks like... (Use a simile.) He walks like a penguin.

I'm walking in the hot sun and getting thirsty... (Use imagery.)

Find the indicated partial derivative of $f(x, y$, $z)=\cos ^{-1}(x y z)$. \

$$\dfrac{\partial f}{\partial x}$$

Avoiding Usage Problems. Correctly complete ench of the following sentences by underlining the correct form from the choices in parentheses. Hot weather (affects, effects) people in different ways.

How has the rise of Hamas affected the negotiation of peace talks between Israel and Palestine?

(a)Why might the author have chosen such an oppressively hot day for the setting of the story? (b)Do you feel that the heat of the day adds to the drama and theme of the story? Explain.

(a) Let $f(x)=e^{x}.$ Find a bound on the magnitude of the error when f(x) is approximated using $P_{3}(x),$ its Taylor approximation of degree 3 around 0 over the interval [-2, 2]. (b) What is the actual maximum error in approximating f(x) by $P_{3}(x)$ over the interval [-2, 2]?

Evaluate $\partial z / \partial u$ and $\partial z / \partial v$ at the given point (u, y).

$$z=\tan ^{-1}(x / y), \quad x=u \cos v, \quad y=u \sin v; \quad (u, v)=(1.3, \pi / 6)$$

The "Energy Guide" label on a washing machine indicates that the washer will use $\$ 33$ worth of hot water if the water is heated by a gas water heater at a natural gas rate of $\$ 1.21 / \mathrm{therm}$. If the water is heated from $60$ to $130^{\circ} \mathrm{F}$, Find how many gallons of hot water an average family uses per week. Disregard the electricity consumed by the washer, and take the efficiency of the gas water heater to be $58$ percent.

Describe the order in which the differentiation of f(x, y, z) occurs for (a) $f_{y x z}$ and (b) $\partial^{2} f / \partial x \partial z$.

The solar corona is so hot that most atoms in it are ionized. Consider a hydrogen-like atom in the corona that has only a single electron. Construct a problem in which you calculate selected spectral energies and wavelengths of the Lyman, Balmer, or other series of this atom that could be used to identify its presence in a very hot gas. You will need to choose the atomic number of the atom, identify the element, and choose which spectral lines to consider.

Consider a hot boiled egg in a spacecraft that is filled with air at atmospheric pressure and temperature at all times. Will the egg cool faster or slower when the spacecraft is in space instead of on the ground? Explain.

Show that the function satisfies the wave equation $\partial^2 z / \partial t^2=c^2\left(\partial^2 z / \partial x^2\right)$.

$$z=\sin (x-c t)$$

Salut ! C est moi de Paris J adore Paris ! Avant hier (two days ago) on est alle au Louvre en metro le matin L apres midi on a circule en ville a velo C est le moyen de transport le plus facile pourvoir beaucoup de choses et le meilleur pour l environnement ! Hier on a fait une excursion en R E R pour visiter le chateau de versaille Pendant la visite j ai appris beaucoup de choses sur les reines et les rois de France Dans la galerie des Glaces vous ne pouvez pas imaginer la lumiere Ca crée une ambiance magique. Les jardins et le hameau de la Reine sont aussi remarquables J ai decide que Paris et Versailles sont les plus jolis endroits du monde. Mais ne vous inquietez pas. Maman et Papa Je vais rentrer apres l excursion. A bientot

Augustine

Quel musee Augustine a t elle visite a Paris ?

A 110-V electric hot-water heater warms 0.1 L/s of water from 18 to $30^{\circ} \mathrm{C}.$ Calculate the current in amperes that must be supplied to this heater.