Answer:
the answer is insert menu
The Cold War was the war between United States and Soviet Union following the WWII. After the defeat of the axis powers and the fall of Hilter, the Soviet Union possessed the world's largest enemy. The US possessed the most powerful weapon in the atomic bomb, which had just been dropped on Hiroshima and Nagasaki to defeat Japan. Both nations had allied with one another in the war to defeat their common enemy but this was merely a front to mask the contempt both had for one another. The cold war was the term used to describe the antagonism between democratic America and communist Soviet Union (Russia). While there was never any armed notion of conflict between both nation, the cold war was the battle of ideologies and was waged in nations all over the world between proxy nation. The US goal was to spread democragy throughout the world and Soviet Union's goal was to spread communism.
<span>Our Sun will slowly get hotter as more and more Helium accumulates in the Sun's core. In ~1 billion years, liquid water will no longer be possible on Earth's surface, and the oceans will completely boil away, resulting in a Venus-like planet. Only thermophyllic bacteria may be able to survive, perhaps at the poles. In ~4-5billion years, our Sun will have converted ~10% of its Hydrogen to Helium, and thus become so hot that Helium to Carbon fusion will begin in earnest, causing the "Helium flash" which will convert our Sun into a red giant, and swallow and vaporize all of the rocky inner planets. It may even blow off a planetary nebula. (Contrary to what the others have said, our Sun will not 'run out' of Hydrogen.) </span>
Hi there!
a.
To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.
Evaluate using a calculator:
b.
To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.
In other terms:
We can evaluate using a calculator (math-9 on T1-84):
c.
If:
Then:
Evaluate at t = 20:
This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.
d.
To find the maximum, we must use the first-derivative test.
Set S(t) - R(t) equal to 0:
Graph the function with a graphing calculator and set the function equal to y = 0:
According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.
<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>
