helpppp! The population of a town is 20,000 people in the year 2000. How many people with live in the town in 2016 if the popula
1 answer:
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Direct computation:
Parameterize the top part of the circle by
with , and the line segment by
with . Then
Using the fundamental theorem of calculus:
The integral can be written as
If there happens to be a scalar function such that
, then
is conservative and the integral is path-independent, so we only need to worry about the value of
at the path's endpoints.
This requires
So we have
which means is indeed conservative. By the fundamental theorem, we have
<em>I am against people doing this.</em>
<em>I think it's wrong because for some reason scientists are permitted to do this but that is breaking the law. I hate how they do it because these are just innocent animals that did nothing wrong to us, our scientists just decide it's ok to go stick needles in them and put stuff on them. My biggest problem with this is that they don't care about the effects their products have on innocent animals and instead of fixing their mistake and just apply it to humans, they just keep on going like there's no tomorrow. Animals have done nothing wrong to these people and I think that it's wrong to do so. Also, I don't really think that this proves anything. An animal's skin and fur are different than a human's skin and hair so it would make no sense to test these things on them because it really is guaranteed to give an accurate answer. Animals differ from us in so many ways that you should be able to think that scientists wouldn't harm these lovely creatures, but instead, they do. Why do scientists hurt these animals? I don't want to live in a world with hurt animals, especially when some of them have World Records, like the Sea Otter.</em>
<em>-R3TR0 Z3R0</em>
Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = = 10
The hypotenuse is 10 ft