What is the source of the enormous amount of energy released by a hurricane?

Show that the average value of $\cos^2 t\ \ \text{over}\ \ [0,2\pi]$ is equal to 1/2. Without further calculation, determine whether the average value of $\cos^2 t\ \ \text{over}\ \ [0,\pi]$ is equal to 1/2

What is the difference between rainfall that accompanies the passage of a warm front and rainfall that accompanies the passage of a cold front?

A bag contains number slips numbered 1 to 9. Determine whether the events are independent or dependent, and find the indicated probability. selecting 2 even numbers when 2 slips are chosen without replacement.

For below defined function $f'$, find $f''(x)$, then use a graphing calculator to graph $f'$ and $f''$ in the indicated window. Use the graph to do the following. (a) Give the (approximate) $x$-values where $f$ has a maximum or minimum. (b) By considering the sign of $f'(x)$, give the (approximate) intervals where $f(x)$ is increasing and decreasing. (c) Give the (approximate) $x$-values of any inflection points. (d) By considering the sign of $f''(x)$, give the intervals where $f$ is concave upward or concave downward. $f'(x) = x^2 + x \ln x;\ \ \ \ \ [0, 1]$ by $[-2, 2]$

Why don’t cumulus clouds form over cool water?

What happens to the air pressure and temperature of an air parcel as it flows up the side of a mountain?

Two pathways, homologous recombination and nonhomologous end joining (NHEJ), can repair double-strand breaks in DNA. If homologous recombination is an errorfree pathway whereas NHEJ is not always error free, why is NHEJ used most of the time in eukaryotes?

Why does warm, moist air blowing over cold water result in fog?

Suppouse that

$$\int_{0}^{4} f(x) d x=5 \text { and } \int_{0}^{2} f(x) d x=-3\quad \int_{0}^{4} g(x) d x=-1 \quad \text { and } \quad \int_{0}^{2} g(x) d x=2$$

. Then compute the integral

$$\int_{2}^{4}(f(x)-g(x)) d x$$

Most information about our environment reaches us by means of the senses of ______ and ______.

Perform the indicated operations. |-11|-|-5|-|7|+|-2|

Let G = (V, E) be a loop-free connected undirected graph with $|V| \geq 3.$ If G has no articulation points, prove that G has no pendant vertices.

AVS Industries has determined that the combined fixed and variable expenses for the production and sale of 800,000 items are $24,000,000. What is the price at the breakeven point for this Item?