Compare and contrast music and noise.

Draw and label a diagram that explains the Doppler effect.

Draw and label a diagram that explains the Doppler effect.

What was the Age of Pericles, and how did it involve direct democracy?

Both $f(x)=\frac{1}{(x-1)} \text { and } g(x)=\frac{1}{(x-1)^{2}}$ have asymptotes at x = 1 and y = 0. What is the most obvious difference between these two functions?

a. Solve these inequalities. (i) $0.5<\frac{x}{2} \leq 1.5 (ii) 3-x \geq 1$ b. Represent the solution to part a on the number line. c. State whether the numbers q = 1.5 and $t=\sqrt{5}$ are solutions to the inequalities given in part a.

a. Reviewing How do some atoms in covalent bonds become slightly negative or slightly positive? What type of covalent bonds do these atoms form? b. Comparing and Contrasting Both carbon dioxide molecules and water molecules have polar bonds. Why then is carbon dioxide a nonpolar molecule while water is a polar molecule? c. Predicting Predict whether carbon dioxide or water would have a higher boiling poin t. Explain your prediction in terms of the attractions between molecules.

Describe the range of human hearing in decibels, and the level at which sound can damage human ears.

At what temperatures is the following reaction , the reduction of magnetite by graphite to elemental iron, spontaneous? $\mathrm { Fe } _ { 3 } \mathrm { O } _ { 4 } ( s ) + 2 \mathrm { C } ( s , \text { graphite } ) \longrightarrow 2 \mathrm { CO } _ { 2 } ( g ) + 3 \mathrm { Fe } ( s )$

Determine which will change if you turn up a radio’s volume: wave velocity, intensity, pitch, amplitude, frequency, wavelength, or loudness.

Suppose the speed of light was greater in water than in air. Draw a diagram to show whether an object underwater would seem deeper or closer to the surface than it really is.

For the given functions f and g, find the following. $\left(\frac{f}{g}\right)(1)$ $f(x)=1+\frac{1}{x}; g(x)=\frac{1}{x}.$

Find the particular solution of the following differential equations: a. $\frac{d y}{d x}=4 y$ and when x = 0, y = 10 b. $\frac{d M}{d t}=-3 M \text { and } M(0)=20$ c. $\frac{d y}{d t}=\frac{\sqrt{y}}{3} \text { and when } t=24, y=9$ d. $\frac{d P}{d n}=2 P+3 \text { and } P(0)=2$ e. $\frac{d y}{d x}=k \sqrt{y}$ where k is a constant, y(4) = 1 and y(5) = 4

Explain the difference between hybrid atomic orbitals in valence bond theory and LCAO molecular orbitals in molecular orbital theory.