Calculus
Write the first four nonzero terms and the general term of the Taylor serires for f about x=0. f(x)=2x/(1+x^2) I feel that I'm doing this wrong because finding the derivatives of f(x) look really messy. Can you please show me the steps? Thanks in advance!
Calculus
Thank you! That was helpful :)
Calculus
A block of ice is exposed to heat in such a way that the block maintains a similar shape as it metls. The block of ice is initially 2' wide, 2 'high, and 3' long. If the change in the width of the ice is -1/3 ft/hr, find: the amount of time it will tak efor the blo...
Calculus
How do I find the limit of (1+sin(pi times x))^(1/x) as x approaches 0? I tried using wolframalpha, but am unable to understand their steps. My thinking is that you set y=the limit and use L'hopital's rule a couple times. The answer I got was y=e^0--->y=1, but the a...
Calculus
awesome! Thanks Damon ;D
Calculus
awesome! Thanks Damon ;D
Calculus
very cool. Thanks, both of you! Does wolfram alpha give steps for all integration problems?
Calculus
Integrate (1/2)sin(x^(1/2))dx. I've tried using u-substitution, with u=sin(x^(1/2)). du would then = ((1/2)x^(-1/2))(cos(x^(1/2))). As you can see, this only make the problem more complicated. I don't get what to do. Thank you in advance!
Calculus
Integrate dx/xlnx. What method am I supposed to use? I'm totally lost.
calculus
How do I integrate x(arctanx) dx? Is it some sort of integration by parts? Can you please show steps? Thanks in advance!
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