Which of the following equations do not represent linear functions? Explain. A.

$$12 = 2 x ^ { 2 } + 4 y ^ { 2 }$$

B.

$$y - x + 3 = x$$

C.

$$x = 8$$

D.

$$x = 9 - \frac { 3 } { 4 } y$$

E.

$$y = \frac { 5 x } { 11 }$$

F.

$$y = \sqrt { x } + 3$$

find the domain and range of the function. Use a graphing utility to verify your results.
f(x) = - x$^2$ - 2x + 3

Perform the Wilcoxon signed rank sum test to determine whether the location of population 1 differs from the location of population 2 given the data shown here. Use $\alpha=.05$.

$$\begin{array}{lcccccccccccc}\text { Pair } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \text { Sample 1 } & 18.2 & 14.1 & 24.5 & 11.9 & 9.5 & 12.1 & 10.9 & 16.7 & 19.6 & 8.4 & 21.7 & 23.4 \\ \text { Sample 2 } & 18.2 & 14.1 & 23.6 & 12.1 & 9.5 & 11.3 & 9.7 & 17.6 & 19.4 & 8.1 & 21.9 & 21.6\end{array}$$

Each inequality describes the range of average monthly temperatures T in degrees Fahrenheit at a certain location.

(a) Solve the inequality. $\qquad$ (b) Interpret the result.

$|T-10| \leq 36$, Chesterfield, Canada

Sketch the graph of the function. Use a graphing utility to verify the graph.

$$f(x)=x^3+2 x^2-9 x-18$$

Un(a) amigo(a) y tú quieren decidir qué comidas van a servir en la parrillada. Hablen de las comidas que les gustan y de las que no les gustas. Digan por qué. Luego, escriban una lista de las comidas que van a servir debajo de la casa una, escriban por qué es una buena idea servirla.

Videomodelo: A_¿Te gusta la sandía? - B_¡Sí, claro! Me encanta porque es muy dulce. - o: _No, no me gusta nada. Es muy dulce.

Estudiante A:

look at picture six

Estudiante B:

muy-grasoso,-a

bastante-sabroso,-a

demasiado-delicioso,-a

seco,-a-riquísimo,-a

picante-riquísimo,-a

dulce-horrible

The alternate generalized Green's function (Neumann function) satisfies

$$\begin{aligned} \frac{d^2 G_a}{d x^2} & =\delta\left(x-x_0\right) \\ \frac{d G_a}{d x}(0) & =-c \\ \frac{d G_a}{d x}(L) & =c, \quad \text { where we have shown } c=\frac{1}{2} . \end{aligned}$$

Determine all symmetric $G_a\left(x, x_0\right)$.

Elige entre las preposiciones a, hacia y con para completar cada oración. 1. El león caminaba __________ el árbol. 2. Dijeron que la tormenta empezaría _____________ las dos de la tarde. 3. Le prometí que iba __________ ahorrar combustible. 4. Ellos van a tratar de ser responsables ___________ el medio ambiente. 5. Contribuyó a la campaña ecológica ___________ mucho dinero. 6. El depósito de combustible estaba _________ mi izquierda.

Should a fever always be treated? Why or why not?

Multiply the binomials.

$$(11 q-10)(11 q+10)$$

Consider

$$\frac{d^2 u}{d x^2}=f(x) \text { with } \frac{d u}{d x}(0)=0 \text { and } \frac{d u}{d x}(L)=0 .$$

A different generalized Greens function may be defined:

$$\begin{aligned} \frac{d^2 G_a}{d x^2} & =\delta\left(x-x_0\right) \\ \frac{d G_a}{d x}(0) & =0 \\ \frac{d G_a}{d x}(L) & =c . \end{aligned}$$

Obtain a representation of the solution $u(x)$ using $G_a\left(x, x_0\right)$.

A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270°, what is the new wind direction?

Complete the sentences by inferring information about the italicized word from its context.

The stolid cowboy did not even flinch when...

A particle is moving along the curve y = ƒ(x). Let y = ƒ(x) = 10/1+x². If dx/dt = 3 cm/sec, find dy/dt at the point where x = 20.