What products would you expect from the reaction of 1 mol of 1,3 -butadiene and each of the following reagents? (If no reaction would occur, you should indicate that as well.) (a) $1 \mathrm{mol} \text { of } \mathrm{Cl}_{2}$ (b) $2 \mathrm{mol} \text { of } \mathrm{Cl}_{2}$ (c) $2 \mathrm{mol} \text { of } \mathrm{Br}_{2}$ (d) $2 \mathrm{mol} \text { of } \mathrm{H}_{2}, \mathrm{Ni}$ (e) $1 \mathrm{mol} \text { of } \mathrm{Cl}_{2} \text { in } \mathrm{H}_{2} \mathrm{O}$ $(f) Hot \(\mathrm{KMnO}_{4}\) (excess) (g) \(\mathrm{H}_{2} \mathrm{O}, \mathrm{cat} . \mathrm{H}_{2} \mathrm{SO}_{4}\)$

What are the solutions of

$$- 4 \leq r - 5 < - 1 ?$$

Graph the solutions.

Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint(s).

$$f(x, y) = 1/x+1/y; 1/x^2+1/y^2=1$$

How can the verb tener be used in a phrase to answer this question? ¿Quieres tu abrigo? Sí, porque _______________________________.

En parejas decidan si la siguiente persona está bien informada.

modelo:

los televidentes (los rescates)

Tú: ¿Están bien informados los televidentes sobre los rescates?

Compañero(a): Sí, (No, no) están bien informados.

tu vecino(a) (la música popular)

Use Lagrange multipliers to find the extreme values of $f(x, y)=x^2+y$ subject to the constraint $x^2+y^2=1$. Compare your answers with those in the preious part.

Find the missing exponent. (a^4) ■ = a^0

For the following exercises, graph the given functions by hand.\

$$f(x)=-|x+3|+4$$

Find the missing number: $6 d=0.456$

Factor trinomial completely. 7r^2 + 8r + 1

Enumera los pares ordenados en la relación $R$ desde $A = \{0, 1, 2, 3, 4\}$ hasta $B =\{0, 1, 2, 3\}$, donde $(a, b)\in R$ si y solo si

$a)$ $a=b$.

$b)$ $a+b=4$.

$c)$ $a>b$.

$d)$ $a | b$.

$e)$ $\text{mcd}(a, b) = 1$.

$f)$ $\text{mcm}(a, b) = 2$.

Abraj Al Bait Towers clock in Mecca, Saudi Arabia, has a clock face with a diameter of 43 meters. Determine the area of the sector formed by the minute hand and the hour hand when the time is 3:00.

Fill in the blanks. The slope of the tangent line to a graph at (x, f(x)) is given by _______ .

Which SI units would you use for the following measurements? the time it takes a swimmer to swim a lap