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1) When is sin(x)=0? Why is it plausible that sin(x)=x(1-x/pi)(1+x/pi)(1-x/2*pi)(1+x/2*pi) ... ?
2) Explain how Euler concludes from 1) that pi^2/6=1+1/4+1/9+1/16 ... .
3) Compare the formula in 2) to Archimedes' calculation for pi. Which of these methods is more efficient and why?
4) Why does the argument from 3) not work to show the formula in 1) is correct?
The vertex and axis of symmetry.
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For Halloween, Mr. Olowitz bought 8 bags of candy bars and 4 bags of lollipops for a total cost of $51.56. Later that day he realized he didn't have enough candy and went back to the same store and bought 3 more bags of candy bars and 3 more bags ..
Find the maximum harvest.
Write a statement reflecting on your appreciation for algebra and how it can be applied to a real situation to your chosen career (accounting & finance).
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