Alejandro said the Law of Sines always gives one answer. Explain and correct Alejandro's error.

Suppose we have an NMOS transistor that has $g_m=2 mS$ and $r_d = 5 \mathrm{k} \Omega$ for a Q point of $V_{GSQ} =2 V, I_{DQ}=4 mA,$ and $V_ {DSQ}= 10 V.$ Sketch the drain characteristics to scale for a small region around the Q point, say, for $v_{GS}=1.8,$ 2.0, and 2.2 V and for $9.0<v_{DS}<11.0 V.$

Find the average rate of change for the following on the given interval. Then find the instantaneous rate of change at the first $x$ -value. $y=\frac{x+4}{x-1} \quad$ from $x=2$ to $x=5$

Complete the statement using the specified property.

$$\begin{matrix} \text{Property} & \text{Statement}\\ \text{Commutative Property of Multiplication} & 3 \cdot (n \cdot 5) = \\ \end{matrix}$$

"

Find slope-intercept form of the equation of the line that passes through the given points P and Q. P = (6, 2) and Q = (7, -1)

Write the express ion for the solubility-product constant for each of the following ionic compounds:

$$SrSO_4$$

Find the derivative of y with respect to the given independent variable:$y=\log _{3}\left(\left(\frac{x+1}{x-1}\right)^{\ln 3}\right)$

What kinds of processes require the use of diamond tools?

Rewrite the following dialog, adding punctuation, capitalization, indentation, and speaker tags as needed. - You're kidding! Neil said. Marisa explained we had to read it in class.

Cara's muffin recipe calls for

$$1\frac{1}{2}$$

cups of flour for the muffins and

$$\frac{1}{4}$$

cup of flour for the topping. If she makes

$$\frac{1}{2}$$

of the original recipe, how much flour will she use?

For matrix

$$\begin{bmatrix}2&4\\-1&-2\end{bmatrix}$$

compute its eigenvalues and eigenvector(s), and sketch the eigenspace if the eigenvectors are real.

The numerator of a fraction is five less than the denominator. The sum of the fraction and six times its reciprocal is $\frac { 25 } { 2 } .$ Find the numerator and denominator assuming that each is an integer.

What is the difference between adaptation and evolution?

a. What is $\cos ^{-1}\left(\frac{\sqrt{2}}{2}\right) ?$ b. What is $\tan ^{-1}(-\sqrt{3}) ?$