Complete each sentence by writing the form of the verb indicated in parentheses.

The art students are _________ pictures of buildings. (present participle of sketch)

Complete each sentence by writing the form of the verb indicated in parentheses.

Greg and Chip _________ to dunk basketballs. (base form of try)

Complete each sentence by writing the form of the verb indicated in parentheses.

I almost ________ on the dry bread. (past tense of choke)

Determine a rotation $\mathbf{x}=P \mathbf{x}^{\prime}$ that removes the cross-product terms, and give its equation in the $x^{\prime} y^{\prime} z^{\prime}$-system. Name the quadric.

$$2 x^2+3 y^2+23 z^2+72 x z+150=0$$

When did the French get involved in the American Revolution?

In given exercise, the matrix product AX performs the translation of the point (x, y) to the point (x+h, y+k), when

$$A=\left[\begin{array}{lll}1 & 0 & h \\0 & 1 & k \\0 & 0 & 1\end{array}\right] \text { and } X=\left[\begin{array}{l}x \\y \\1\end{array}\right] \text {. }$$

Predict the coordinates of the translated point.

$$A=\left[\begin{array}{rrr}1 & 0 & -3 \\ 0 & 1 & 4 \\ 0 & 0 & 1\end{array}\right], \quad X=\left[\begin{array}{r}2 \\ -4 \\ 1\end{array}\right]$$

The normal melting point of copper is $1357 \mathrm{~K}$, and $\Delta_{\text {fus }} \mathrm{H}$ of $\mathrm{Cu}$ is $13.05 \mathrm{~kJ} \mathrm{~mol}^{-1}$. (a) How much heat, in kilojoules, is evolved when a $3.78 \mathrm{~kg}$ sample of molten Cu freezes?

Making Calculations The sun orbits the center of the Milky Way galaxy every 225 million years. How many revolutions has the sun made since the formation of Earth $4.6$ billion years ago?

Describe the formation of an aqueous LiBr solution.

Simplify the radical expression. Assume all variables are unrestricted.

$$\sqrt [ 5 ] { 32 a ^ { 5 } }$$

Factor. Assume that variables used as exponents represent positive integers.

$$2 x^{2 n}+11 x^n+5$$

Describe the formation of an oxbow lake.

Write a polynomial equation of least degree for each set of roots. Does the equation have an odd or even degree? How many times does the graph of the related function cross the x-axis? -2, -0.5, 4

The image of a nearby object formed by a camera lens is $(a)$ at the lens' focal point. $(b)$ always blurred. $(c)$ at the same location as the image of an object at infinity. $(d)$ farther from the lens than the lens' focal point.