Compound A has the molecular formula $\mathrm{C}_{14} \mathrm{H}_{25} \mathrm{Br}$ and was obtained by reaction of sodium acetylide with 1, 12-dibromododecane. On treatment of compound A with sodium amide, it was converted to compound B ($\mathrm{C}_{14} \mathrm{H}_{24}$). Ozonolysis of compound B gave the diacid $\mathrm{HO}_{2} \mathrm{C}\left(\mathrm{CH}_{2}\right)_{12} \mathrm{CO}_{2} \mathrm{H}$. Catalytic hydrogenation of compound B over Lindlar palladium gave compound C ($\mathrm{C}_{14} \mathrm{H}_{26}$), and hydrogenation over platinum gave compound D ($\mathrm{C}_{14} \mathrm{H}_{28}$). C yielded $\mathrm{O} \square \mathrm{CH}\left(\mathrm{CH}_{2}\right)_{12} \mathrm{CH} \square \mathrm{O}$ on ozonolysis. Assign structures to compounds A through D so as to be consistent with the observed transformations.

The reaction of 2,2-dimethyl-1-propanol with HBr is very slow and gives 2-bromo-2-methylbutane as the major product. Give a mechanistic explanation for these observations.

Write the structure of the major organic product isolated from the reaction of 3-hexyne with

(a) Hydrogen (2 mol), platinum

(b) Hydrogen (1 mol), Lindlar palladium

(c) Lithium in liquid ammonia

(d) Hydrogen chloride (1 mol)

(e) Hydrogen chloride ( $2 \mathrm{~mol}$ )

(f) Chlorine $(1 \mathrm{~mol})$

(g) Chlorine (2 mol)

(h) Aqueous sulfuric acid, mercury(II) sulfate

(i) Ozone followed by hydrolysis

Write the structure of the major organic product isolated from the reaction of 3-hexyne with (a) Hydrogen (2 mol), platinum (e) Chlorine (1 mol) (b) Hydrogen (1 mol), Lindlar palladium (f) Chlorine (2 mol) (c) Hydrogen chloride (1 mol) (g) Aqueous sulfuric acid, mercury(II) sulfate (d) Hydrogen chloride (2 mol) (h) Ozone followed by hydrolysis

Find the following. $\int\left(6 t^{2}-8 t+7\right) d t$

Write the structure of the major organic product isolated from the reaction of 1-hexyne with (a) Hydrogen (2 mol), platinum (b) Hydrogen (1 mol), Lindlar palladium (c) Sodium amide in liquid ammonia (d) Product in part (c) treated with 1-bromobutane (e) Product in part (c) treated with tertbutyl bromide (f) Hydrogen chloride (1 mol) (g) Hydrogen chloride (2 mol) (h) Chlorine (1 mol) (i) Chlorine (2 mol) (j) Aqueous sulfuric acid, mercury(II) sulfate (k) Ozone followed by hydrolysis

Two different compounds having the molecular formula $\mathrm{C}_8 \mathrm{H}_{15} \mathrm{Br}$ are formed when 1,6-dimethylcyclohexene reacts with hydrogen bromide in the dark and in the absence of peroxides. The same two compounds are formed from 1,2-dimethylcyclohexene. What are these two compounds?

Determine concavity and the x-values where points of inflection occur. Do not sketch the graphs. $y=\frac{1}{10} x^{5}-3 x^{3}+17 x+43$

Show that the function $f(x)=\frac{x}{x+1}$ is increasing on any interval not containing x=-1.

Based on the E1 mechanism for the conversion of a tertiary alkyl chloride to an alkene as summarized in arrows 3 and 4, which arrow(s) correspond(s) to exothermic processes? A. Arrow 3 B. Arrow 4 C. Both 3 and 4 D. Neither 3 nor 4

In a discussion of an inferior good, Persky$^{4}$ solves an equation of the form $u_{0}=A \ln \left(x_{1}\right)+\frac{x_{2}^{2}}{2}$ for $x_{1},$ where $x_{1}$ and $x_{2}$ are quantities of two products, $u_{0}$ is a measure of utility, and A is a positive constant. Determine $x_{1}.$

Solve the systems algebraically.

$$\left\{\begin{array}{l} {\frac{1}{2} z-\frac{1}{4} w=\frac{1}{6}} \\ {\frac{1}{2} z+\frac{1}{4} w=\frac{1}{6}} \end{array}\right.$$

Express the area under the curve $y=x^{4}+5 x^{2}+x$ from 2 to 7 as a limit.

Find the volume of the cone. Round your answer to the nearest tenth. Radius = 2 ft, Height = 6 ft