Find an equation of the tangent line to the graph of the function at the given point.

$$\begin{matrix} \text{Function} & \text{Point}\\ \text{y=tan x} & \text{}{\left(-\frac{\pi}{4},-1\right)}\\ \end{matrix}$$

The percent P of defective parts produced by a new employee t days after the employee starts work can be modeled by $P=\frac{t+1750}{50(t+2)}$. Find the rates of change of at (a) t=1 and (b) t=10.

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. 11. Good humored $\mathit{\text{raillery}}$ did not please the new teacher, who in turn...

State the slope and y-intercept of each equation. 5x + 4y —20

Escribe seis frases para describir lo que hacen Santiago y Timoteo. Usa las palabras del recuadro. Algunas frases deben ser ciertas y otras, falsas. Lee tus frases a otro(a) estudiante. Tu compañero(a) va a decir si la frase es cierta o falsa y cambiarla si es falsa para dar la información correcta. Modelo: A - Timoteo lleva ropa a la caja. B - Falso. Santiago lleva ropa a la caja.

$$\begin{array}{ll} \text { color oscuro } & \text { el cajero } \\ \text { color claro } & \text { la talla } \\ \text { la salida } & \text { el descuento } \\ \text { la caja } & \text { la entrada } \end{array}$$

Use a graph to estimate the critical numbers of $f(x)=\left|15 x-x^{3}\right|$ correct to one decimal place.

Bob has been working at the restaurant longer than Steve. He earns $9 per hour. During some weeks he works more than 40 hours. The hours he works beyond 40 are considered overtime. For overtime pay, Bob earns double time, or$18 per hour. Write a piecewise-defined function B(h) that gives Bob's pay for any number of hours h. Graph your function.

Give an example of two variables for which there is both correlation and causation.

Evaluate the integral by making the given substitution.

$$\int z \sqrt{z-1} d z, \quad u=z-1$$

¿Qué lecciones toma Pedro? ¿Dónde? ¿Es bueno?

Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the right, from the left, or neither? Sketch the graph of f.

$$f(x)=\left\{\begin{array}{ll} x^{2}+1 & \text { if } x \leqslant 1 \\ 3-x & \text { if } 1<x \leqslant 4 \\\sqrt{x} & \text { if } x>4 \end{array}\right.$$

Find the critical numbers of the function.

$$q(t)=\frac{t^{2}+9}{t^{2}-9}$$

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If v(t) is the velocity at time t of a particle moving along a line, then $\int_{a}^{b} v(t) d t$ is the distance traveled during the time period a $\leqslant$ t $\leqslant$ b.

Write an equation in slope-intercept form of the line that passes through the points (4, 2) and (1, -7).