In each group of three bonds, which bond is likely to be the most polar? Which will be the least polar? (a) $\mathrm{C-H}, \mathrm{O-H}, \mathrm{S-H}$, (b) $\mathrm{C-Cl}, \mathrm{Cl-Cl}, \mathrm{H-Cl}$, (c) $\mathrm{F-F}, \mathrm{O-F}, \mathrm{C-F}$, (d) $\mathrm{N-H}, \mathrm{N-O}, \mathrm{N-Cl}$

Which is the most polar bond? (a) C–C (b) C–H (c) N–H (d) O–H (e) Se–H

Which of these bonds is/are polar covalent:

a. Cl-Cl

b. Si-Si

c. Ca-Cl

d. Cr-Br

e. P-Cl

Evaluate $\lim_{t \rightarrow \pi} \dfrac{\sin t}{\pi - t}$ using l’H$\text{\^{o}}$pital’s Rule if appropriate.

Which of the following molecules or ions contain polar bonds? (a) $\mathrm{O}_{3}$ (b) $\mathrm{S}_{8}$ (c) $\mathrm{O}_{2}^{2-}$ (d) $\mathrm{NO}_{3}^-$ (e) $\mathrm{CO}_{2}$ (f) $\mathrm{H}_{2} \mathrm{S}$ (g) $\mathrm{BH}_{4}^{-}$

Find an equation of the tangent line to the graph of $f$ at the indicated point \

$$\dfrac{\text { Function }}{f(x)=\sin 2 x } \quad \dfrac{\text { Point }}{(\pi,o)}$$

Which bond in each of the following pairs of bonds is the strongest? (a) $\mathrm{C}-\mathrm{C}$ or $\mathrm{C}=\mathrm{C}$ (b) $\mathrm{C}-\mathrm{N}$ or $\mathrm{C} \equiv \mathrm{N}$ (c) $\mathrm{C} \equiv \mathrm{O}$ or $\mathrm{C}=\mathrm{O}$ (d) $\mathrm{H}-\mathrm{F}$ or $\mathrm{H}-\mathrm{Cl}$ (e) $\mathrm{C}-\mathrm{H}$ or $\mathrm{O}-\mathrm{H}$ (f) $\mathrm{C}-\mathrm{N}$ or $\mathrm{C}-\mathrm{O}$

Write the letter that indicates the best answer. In $\odot O, m \widehat{A B}=90$ and $O A=6$. The region bounded by $\overline{A B}$ and $\overparen{A B}$ has area: a. $3 \pi-6$ b. $9 \pi-36$ c. $9 \pi-18$ d. $36 \pi-6 \sqrt{2}$

Which of the following bonds would be the most polar without being considered ionic?
A. Na-F
B. H-F
C. H-Cl
D. S-H
E. O-H

Work out the number of sigma and pi bonds in each of the following:
a $\mathrm{O}_2$
b $\mathrm{N}_2$
c $\mathrm{BCl}_3$
d $\mathrm{CO}_2$
e $\mathrm{H}_2\mathrm{CO}$
f $\mathrm{HCN}$
g $\mathrm{N}_2 \mathrm{~F}_2$
h $\mathrm{CO}$
i $\mathrm{CH}_3 \mathrm{CHCH}_2$
j $\mathrm{SOCl}_2$
k $\mathrm{HCCCH}_3$
l $\mathrm{H}_2 \mathrm{SO}_4$

A motor turns _____energy into energy.

Evaluate $\lim_{u \rightarrow \pi} \dfrac{2\sin^2 u}{1 + \cos u}$ using l’H$\text{\^{o}}$pital’s Rule if appropriate.

Use Richardson extrapolation to estimate the first derivative of y = cos x at $x=\pi / 4$ using step sizes of $h_{1}=\pi / 3$ and $h_{2}=\pi / 6$. Employ centered differences of $O\left(h^{2}\right)$ for the initial estimates.

Write a Lewis structure for (a) $\mathrm{XeF}_3{ }^{+}$ (b) $\mathrm{PCl}_4{ }^{+}$ (c) $\mathrm{BrF}_5$ (d) $\mathrm{HPO}_4{ }^{2-}$ (no $\mathrm{P}-\mathrm{H}$ or $\mathrm{O}-\mathrm{O}$ bonds)