A terrestrial telescope (a "spyglass") with a diameter of $2.0 \mathrm{~cm}$ is attached to a rifle and used for target practice with targets that are $300 \mathrm{~m}$ away. What is the smallest feature on the target that can be resolved with this telescope? Assume $\lambda=400 \mathrm{~nm}$. Ignore the effect of the Earth's atmosphere on the resolution.

Use a graphing utility to graph each equation Then use the TRACE feature to trace along the line and find the coordinates of two points Use these points to compute the lines slope. Check your result by using the coefficient of x in the line's equation.

$$y = - \frac { 1 } { 2 } x - 5$$

Identify the feature of the data that would be missed if the previous part was completed without constructing the scatterplot.

Describe your hometown to a classmate, commenting on the feature outlined below. Use the correct form of adjectives from the list : jolie, belle, premi$\`e$re, derni$\`e$re, jeune, nouvelle, vieille, bonne, mauvaise, petite, grande, grosse.

• des parcs

Use the graphing utility of your calculator to draw the graphs of the curves $y=-x^3-2 x^2+5 x-2$ and $y=x \ln x$ on the same screen. Use ZOOM and TRACE or some other feature of your calculator to find where the curves intersect, and then compute the area of the region bounded by the curves.

Describe your hometown to a classmate, commenting on the feature outlined below. Use the correct form of adjectives from the list : jolie, belle, premi$\`e$re, derni$\`e$re, jeune, nouvelle, vieille, bonne, mauvaise, petite, grande, grosse.

• des cinémas

Use the tangent feature of a graphing utility to confirm your results.

$$\begin{array}{cc}\text { Function } & \text { Point } \\h(t)=\sin t+\frac{1}{2} e^t& \left(\pi, \frac{1}{2} e^\pi\right)\end{array}$$

Describe your hometown to a classmate, commenting on the feature outlined below. Use the correct form of adjectives from the list : jolie, belle, premi$\`e$re, derni$\`e$re, jeune, nouvelle, vieille, bonne, mauvaise, petite, grande, grosse.

• des piscines municipales

Solve the given problems by finding the appropriate derivatives.

Find the slope of a line tangent to the curve of the function $y=(4x+1)(x^4-1)$ at the point $(-1,0)$. Do not multiply the factors together before taking the derivative. Use the derivative evaluation feature of a calculator to check your result.

Solve the application problem.

Clancy Strock wrote a feature article called "I know ... I was there" for each issue of Reminisce magazine. He has written an article for each monthly issue of the magazine for 15 years. How many of these monthly articles has he written?

You can use the table feature of a graphing calculator to find the domain of a function. Enter the function into the Y = list. Then observe the y-values in the table. An error indicates that an x-value is excluded from the domain. Determine the domain of each function. $h(x)=\frac{x^{2}-12}{x^{2}-4}$

Use a graphing utility to graph the function

$$f(x)=\dfrac{x^2-3x-1}{x-5}$$

Use the trace feature to approximate limx→4f(x). What do you think limx→5f(x) equals? Is f defined at x = 5? Does this affect the existence of the limit as x approaches 5?

In Exercise given below, solve the equation for $\theta$ $(0 \leq \theta \leq 2 \pi)$. For some of the equations you should use the trigonometric identities listed in this section. Use the trace feature of a graphing utility to verify your results.

$$\sin \theta=\cos \theta$$

Describe your hometown to a classmate, commenting on the feature outlined below. Use the correct form of adjectives from the list : jolie, belle, premi$\`e$re, derni$\`e$re, jeune, nouvelle, vieille, bonne, mauvaise, petite, grande, grosse.

• des appartements