Pon comas cuando sea necesario.

Si damos una fiesta acuden los abuelos tíos primos y padrinos.

Evaluate $\iint_{\partial W} \mathbf{F} \cdot d \mathbf{S},$ where $\mathbf{F}=x \mathbf{i}+y \mathbf{j}+z \mathbf{k}$ and W is the unit cube (in the first octant). Perform the calculation directly and check by using the divergence theorem.

Using the hyperbolic substitution $x=3 \sinh u$, the identity $\cosh ^2 u-\sinh ^2 u=1$, and required theorem calculate

$$\int \frac{d x}{\sqrt{x^2+9}}$$

In what ways was the economy of the New South different from---and similar to ---- the economy of the past?

Compare latent heat and sensible heat.

Lisez le tableau fourni (provided chart)

This is a summary of what critics from the entertainment guide Pariscope think of certain films. Write sentences summarizing their findings, using aimer ... beaucoup, un peu, or n'aimer ... pas. Follow the model.

Vincere/Fran$\c{c}$oise Delbecq.

Model: Le petit Nicolas/V. Gaucher et A. Gaillard.
Ils aiment beaucoup Le petit Nicolas.

Utilizing Reason Why should people refrain from drinking sea water in light of what they know about homeostasis and osmosis?

Suppose that the conditional distribution of N, given that Y=y, is Poisson with mean $y$. Further suppose that $Y$ is a gamma random variable with parameters $(r, \lambda)$, where $r$ is a positive integer. That is, suppose that

$$P(N=n \mid Y=y)=e^{-y} \frac{y^n}{n !}$$

and

$$f_Y(y)=\frac{\lambda e^{-\lambda y}(\lambda y)^{r-1}}{(r-1) !}, \quad y>0$$

a) Find $E[N]$.

b) Find $\operatorname{Var}(N)$.

c) Find $P(N=n)$

d) Using (c), argue that $N$ is distributed as the total number of failures before the $r$ th success when each trial is independently a success with probability $p=\frac{\lambda}{1+\lambda}$.

Completa con h cuando sea necesario.

Aquel pozo __ondo está lleno de mo__o.

Define an equation in point-slope form of the line that has an x-intercept of -4 and a slope of $\frac{1}{2}$.

Sustituye las formas de este y ese con las formas correctas de aquel. Luego cambia las palabras subrayadas para que las oraciones expresen lo contrario (the opposite). Esos precios estan muy $\underline{\mathrm{altos}}$.

Suppose that eight observations X1,.............., X8 are drawn at random from a distribution with the following p.d.f.:

$$f(x \mid \theta)= \begin{cases}\theta x^{\theta-1} & \text { for } 0<x<1 \\ 0 & \text { otherwise. }\end{cases}$$

Suppose also that the value of $\theta$ is unknown $(\theta>0)$, and it is desired to test the following hypotheses:

$$\begin{aligned} & H_0: \quad \theta \leq 1, \\ & H_1: \quad \theta>1 . \end{aligned}$$

Show that the UMP test at the level of significance $\alpha_0=0.05$ specifies rejecting $H_0$ if $\sum_{i=1}^8 \log X_i \geq-3.981$.

Determine if the statement is true or false, and justify your answer. If $u_4$ is not a linear combination of $\left\{\mathbf{u}_{1}, \mathbf{u}_{2}, \mathbf{u}_{3}\right\}$, then $\left\{\mathbf{u}_{1}, \mathbf{u}_{2}, \mathbf{u}_{3}, \mathbf{u}_{4}\right\}$ is linearly dependent.

Lisez le tableau fourni (provided chart)

This is a summary of what critics from the entertainment guide Pariscope think of certain films. Write sentences summarizing their findings, using aimer ... beaucoup, un peu, or n'aimer ... pas. Follow the model.

Un proph$\`e$te/Pierre Murat.

Model: Le petit Nicolas/V. Gaucher et A. Gaillard.
Ils aiment beaucoup Le petit Nicolas.