List two factors that help keep populations in an ecosystem stable.

(a) List three density-dependent factors and three density-independent factors that can influence the population size of white-tailed deer. (b) Describe two ways that deer populations at low abundance can accelerate the process of ecological succession in a forest toward a climax stage. (c) Consider a region of temperate forest that contains 100,000 deer with a sex ratio of 3 females to 1 male, an infant mortality rate of 10, a crude birth rate of 40, and a crude death rate of 20. Only 10 percent of the females are able to reproduce. (i) Calculate population growth rate for white-tailed deer in this region. (ii) Calculate the number of deer that hunters would need to shoot in order to keep the deer population stable.

Explain how a community relates to an ecosystem.

Describe the current atmosphere on Mars. What evidence suggests that it must have been different in the past?

Assume that no segment of the curve

$$x = x ( t ) , \quad y = y ( t ) , \quad ( a \leq t \leq b )$$

is traced more than once as t increases from a to b. Divide the interval [a, b] into n subintervals by inserting points

$$t _ { 1 } , t _ { 2 } , \ldots , t _ { n - 1 }$$

between

$$a = t _ { 0 }$$

and

$$b = t _ { n }$$

. Let L denote the arc length of the curve. Give an informal argument for the approximation

$$L \approx \sum _ { k = 1 } ^ { n } \sqrt { \left[ x \left( t _ { k } \right) - x \left( t _ { k - 1 } \right) \right] ^ { 2 } + \left[ y \left( t _ { k } \right) - y \left( t _ { k - 1 } \right) \right] ^ { 2 } }$$

If dx/dt and dy/dt are continuous functions for

$$a \leq t \leq b$$

, then it can be shown that as max

$$\Delta t _ { k } \rightarrow 0$$

, this sum converges to

$$L = \int _ { a } ^ { b } \sqrt { \left( \frac { d x } { d t } \right) ^ { 2 } + \left( \frac { d y } { d t } \right) ^ { 2 } } d t$$

Which of the following processes is not a part of the water cycle? a. evaporation b. condensation c. biomagnification d. precipitation

A geometric sequence has partial sums $S_{1}=3$ and $S_{2}=4$. Calculate the common ratio r.

Explain why proteins and carbohydrates are polymers. What is each polymer made of?

Find the Euclidean distance between u a nd v and the cosine of the angle between those vectors. State whether that angle is acute, obtuse, or 90°. (a) u = (3, 3, 3), v = (1, 0, 4)

¿Cuál es la moneda oficial de la Argentina?

Find the limit. $\lim _{x \rightarrow-3} \frac{x^{2}+2 x-3}{x^{2}-9}$

The company will change $40 for each item it sells. Make a function table of possible x- and y-values with x representing the number of items sold and y representing the revenue from the sales.

Solve each equation or inequality. $2 ^ { x - 1 } = 5$

What is one mission of the grassroots organizations in the rain forest?