Demandez $\`a$ votre partenaire ce qu’il/elle fait avec ses amis quand ils passent un week-end ensemble dans une autre ville.

se lever t$\^o$t ou tard

Use a graphing utility to graph the conic. Determine the angle $\theta$ through which the axes are rotated. Explain how you used the graphing utility to obtain the graph.

$$32 x^2+48 x y+8 y^2=50$$

Graph each inequality on its own coordinate plane.

$$y \leq 2 x + 1$$

Find each double integral over the rectangular region R with the given boundaries.\

$$\iint_R x \sec ^2 y d y d x ; \quad 0 \leq x \leq 1,0 \leq y \leq \frac{\pi}{4}$$

Determine if the described set is a subspace. If so, give a proof. If not, explain why not. Unless stated otherwise, a, b, and c are real numbers. The subset of $R^2$ consisting of vectors of the form

$$\left[\begin{array}{l} a \\ b \end{array}\right]$$

, where a and b are integers.

Convert the degree measure to radians. Leave answers as multiples of $\pi$. $150^{\circ}$

Rosa said that if the measure of one angle of a right triangle is 45 degrees, then the triangle is an isosceles right triangle. Do you agree with Rosa? Explain why or why not.

Using CAS or a calculating utility with numerical integration capabilities approximate the area of the surface generated by revolving the curve about the stated axis: $y=e^x, 0 \leq x \leq 1$; x-axis Round your answer to two decimal places.

Graph each inequality on its own coordinate plane.

$$- 6 x - 4 y > 8$$

Mots utiles: se brosser, se coucher, s'en aller, s'endormir, s'habiller, se lever, se maquiller, se peigner, se raser, se reveiller

un lit

Determine the missing coordinate for point P(x,-2/3) in quadrant III on the unit circle.

In this exercise, make the given changes in the indicated examples of this section, and then solve the resulting problems.

In the previous example, change $90.0 \mathrm{~m}$ to $115 \mathrm{~m}$.

The lengths of three sides of a triangle are given. Determine whether each triangle is a right triangle.

$$45 \mathrm { mm } , 60 \mathrm { mm } , 75 \mathrm { mm }$$

Let $f(x)=\ln x$ and $g(x)=e^{x}$. Graph the functions $y=f(-x)$ and $y=g(-x)$ on the same coordinate plane.