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Question #14, is f(x) even? I know that pi*exp(-X) is neither odd or even, but when I graph the 2 conditions, they are symmetrical about the origin. To solve the problem, do I split up the integrals like Question #20? | Question #14, is f(x) even? I know that pi*exp(-X) is neither odd or even, but when I graph the 2 conditions, they are symmetrical about the origin. To solve the problem, do I split up the integrals like Question #20? | ||
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| + | A: Try plugging in 1 and -1 into their respective equations. f(-1) = pi*exp(-(-1)) = pi*exp^(1) = f(1). It follows that for any x < 0, the negatives will cancel out. In other words, f(x) = pi*exp^(abs(x))) for the entire period. | ||
Question #17-18: Is there some way to "show" this analytically (given the hints), or should we just compute the first half-dozen terms and say "close enough"? | Question #17-18: Is there some way to "show" this analytically (given the hints), or should we just compute the first half-dozen terms and say "close enough"? | ||
Revision as of 08:15, 2 November 2010
Homework 10 collaboration area
Are there instructions on how to remotely access MAPEL anywhere? It would be nice to have access to check my work.
Login to software remote at the following link: https://goremote.ics.purdue.edu/Citrix/XenApp/auth/login.aspx You will probably need to install the Citrix software. Once you do and are logged in, select Applications -> Standard Software -> Computational Packages -> Maple 14 and the software will load remotely. Brig --Brericks 10:50, 30 October 2010 (UTC)
Another great resource I've found is: http://www.wolframalpha.com/
Question #14, is f(x) even? I know that pi*exp(-X) is neither odd or even, but when I graph the 2 conditions, they are symmetrical about the origin. To solve the problem, do I split up the integrals like Question #20?
A: Try plugging in 1 and -1 into their respective equations. f(-1) = pi*exp(-(-1)) = pi*exp^(1) = f(1). It follows that for any x < 0, the negatives will cancel out. In other words, f(x) = pi*exp^(abs(x))) for the entire period.
Question #17-18: Is there some way to "show" this analytically (given the hints), or should we just compute the first half-dozen terms and say "close enough"? Self-Answer: f(x) = x^2. Solve for the sum after subbing for x. Holy cow I'm dumb!
Question #20, The integral for a_o, a_n, and b_n all have a term f(x)=0 (conditions are 0 to 2). Does this integral=0 there is no area when I draw the graph?
Are we allowed to use Maple of MatLab to graph? Or should we hand-sketch the plots?
