What factors made a critical contribution to the outcome of the Battle of Yorktown in 1781?

Find all critical numbers (if any) of the given function.

$$f(x)=x^2 e^x$$

What factors are known to be involved in the control of mitosis?

Which factors control the cooling time of magma within the crust?

Determine the critical points of the following function.

$f(x)=\frac{x^3}{3}-9 x$

Dibuja el piano floor plan de tu casa ideal y describesela a tu compañeroa.

*Escribe un texto describiendo tu casa ideal. Explica como estan decoradas las habitaciones.

Carlos is always playing games with his graphing calculator, but now his calculator has contracted a virus. The TRACE, ZOOM, and WINDOW functions on his calculator are not working. He needs to solve $x^3+5 x^2-16 x-14=0$, so he graphs $y=x^3+5 x^2-16 x-14$ and sees the graph at right in the standard window.

a. From the graph, what number appears to be an integer solution to the equation?

b. Verify that your answer to part (a) is a solution.

c. Since you know a solution to the equation, what is the factor associated with this solution?

d. Use polynomial division to determine the other factor.

e. Use your new factor to complete the following equation.

$$\begin{aligned} & x^3+5 x^2-16 x-14=0 \\ & (x+7)(\text { other factor })=0 \end{aligned}$$

f. The "other factor" leads to two other solutions to the equation. What are the two other solutions? State all three solutions to the original equation.

What do lakes, rapids, waterfalls, and terraces indicate about the stream gradient and base level? Why do canyons form in some places and valleys in others?

A vertex basis in a directed graph is a set of vertices such that there is a path to every vertex in the directed graph not in the set from some vertex in this set and there is no path from any vertex in the set to another vertex in the set.

Find a vertex basis for each of the directed graphs in the mentioned exercises.

In the following exercise, find the differential df from the gradient.

$$\operatorname{grad} f=y \vec{i}+x \vec{j}$$

Why is the cricothyroid membrane is the ideal site for making a surgical opening into the trachea?

Describe cuál sería tu trabajo ideal.

In the following exercise, find the gradient of the function. Assume the variables are restricted to a domain on which the function is defined.

$$z=(x+y) e^y$$

Write the correct word in the space next to each definition. difficult to control