Imagine that a group of tourists will be visiting your state. Use the following verbs to give them advice about what to see and do. Be sure to use Uds. command forms and provide additional information. comprar ______

In given problem, use $f^{\prime}(x)=\lim _{h \rightarrow 0}[f(x+h)-f(x)] / h$ to find the derivative at $x$.

$$F(x)=\frac{x-1}{x+1}$$

Use the graph of y = f(x) given below to match the function with its graph.

$$y=f(x)-5$$

(a) Determine where the vector field $\mathbf{F}=\frac{x+x y^{2}}{y^{2}} \mathbf{i}-\frac{x^{2}+1}{y^{3}} \mathbf{j}$ is conservative. (b) Determine a scalar potential for F. (c) Find thework done by F in moving a particle along the parabolic curve $y=1+x-x^{2}$ from (0, 1) to (1, 1).

Find the center and radius of each circle. $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 9$

Write P for participle, I for infinitive, or G for gerund above each phrase in italics. $\mathit{Placing \ her \ arms \ at \ her \ sides}$, she took a deep breath.

Determine whether each conclusion is valid. If not, tell what additional information is needed to make it valid. Given: $\overline{A C} \perp \overline{B D}, \overline{A B} \cong \overline{B C}$ Conclusion: ABCD is a rhombus.

In the following exercise, evaluate $\int_C F \cdot d r$ along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.)

$$F(x, y)=2 x y i+x^2 j$$

$$C_2: r_2(t)=t i+t^3 j, \quad 0 \leq t \leq 1$$

Most of the sentences in the following paragraph contain verbs that do not agree with their subjects. Give the correct form of each verb that does not agree with its subject. If a sentence is already correct, write $C$.

Example: Every year, many a tourist visit the White House. visit-visits

One million is a conservative estimate.

Confirm that the force field F is conservative in some open connected region containing the points P and Q, and then find the work done by the force field on a particle moving along an arbitrary smooth curve in the region from P to Q. F(x, y)=

$$2 x y ^ { 3 } \mathbf { i } + 3 x ^ { 2 } y ^ { 2 } \mathbf { j }$$

; P(-3, 0), Q(4, 1)

In the following diagram points C, A and B are collinear. Use complete sentences to describe the sum of CA and AB.

Make a plot of a circle with its center at ( 4.2, 2.7) and radius of 7.5.

Methyl butyrate (component of apple taste and smell): $\ce{ 58.80 \% C, 9.87 \%H, and 31.33\% O }$ (by mass). What is the chemical formula of a given compound?

Choose from the following verbs to say what different people did yesterday. Add additional information to form complete sentences. el/la profesor(a)_________________________