Your friends are planning a birthday party. Help them get organized by giving appropriate Uds. commands followed by a direct object pronoun. buscar los regalos _______

Your friends are planning a birthday party. Help them get organized by giving appropriate Uds. commands followed by a direct object pronoun. escribir la invitación _______

Solve the following initial value problem, indicating the method used and giving all steps in detail. $y^{\prime}+4 x y=e^{-2 x^2}, \quad y(0)=-4$

Complete each sentence by giving the number of units and the direction of the shift.

The graph of $g(x)=f(x-2)+4$ is the graph of $y=f(x)$ shifted $\underline{\quad ? \quad}$ and $\underline{\quad ? \quad}$.

Justify each statement by giving the correct property of absolute value. Assume all variables represent real numbers. See the example in this section.

$$|5+x| \leq|5|+|x|$$

Answer the following question, giving a reason for the answer. Your reason should show an understanding of the meaning of the boldfaced word. Could bad weather defer the pilgrims' journey?

Give advice to two new students at your school by writing Uds. commands. As you do so pay special attention to the spelling changes required. empezar mañana ______

Your friends are planning a birthday party. Help them get organized by giving appropriate Uds. commands followed by a direct object pronoun. comprar la comida ______

Answer the following question, giving a reason for the answer. Your reason should show an understanding of the meaning of the boldfaced word. Would others call the pleasant Prioress a malady?

Bob said, “Why is a small p-value significant, when a large one isn’t? That seems backwards.” Try to explain it to Bob, giving an example to make your point.

By giving a basis, describe a two-dimensional subspace of ℝ³ that contains none of the coordinate vectors (1, 0, 0), (0, 1, 0), (0, 0, 1).

Answer the following question, giving a reason for the answer. Your reason should show an understanding of the meaning of the boldfaced word. Would a fashionable pilgrim dress according to the mode?

Solve the equation

$$5 \times 4 ^ { x - 1 } = \frac { 1 } { 3 ^ { 2 x } }$$

, giving your answer in the form

$$x = \frac { \ln p } { \ln q }$$

where p and q are rational numbers.

Assume that $f$ and $g$ are continuous on $[a, b]$ and

$$\int_a^b f(x) d x>\int_a^b g(x)\ dx$$

Answer the question by giving supporting reasons.
Does it necessarily follow that $\int_a^b[f(x)-g(x)]\ dx>0$?