- #1
Fishingaxe
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Homework Statement
Problem 1.
Calculate:
2
∫ 6x^2dx
1
Problem 2.
Solve as far as you can(simplify the problem):
(x-3)(x+2)/2x-6
Problem 3.
The Canadian goose came to sweden in the 1930's. Afterwhich the population of the bird increased. At the same time every year they count the amount of goose and how much it has increased. The populations growth can be described with an exponential model.
The chart below shows the amount of goose "K" as a function of time in years "t", where t=0 is the year 1977.
http://imageshack.us/a/img27/9809/6dnz.jpg
a) Determine an approximation to K'(30) with the help of this picture.
b) Explain what K'(20)=800 describes.
The Attempt at a Solution
1.
2 2
∫ 6x^2dx [2x^3] = 2*2^3 - (2*1^3) = 14 ae (area units). I realize now as I'm writing this that
1 1
it's solved. I was stumbled and thought I got it wrong, but I'm just tired of studying all day I guess.
2. (x-3)(x+2)/2x-6 = x^2 -x -6/2x-6 = x^2 - x / 2x
After these steps I'm thinking about breaking out the x, like x(x-1) / x(2) and let the x's take each other out but that would leave the answer to be x-1/2 and the answer is supposed to be x+2/2.
3. a)
b) I think K'(20)=800 is how much growth the gooses do per year at the year 20.
About "a" though. I don't know how to figure this out, it's supposedly very easy but I don't know.
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