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pianoboy11
pianoboy11
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$3.00 advance cal homework

  • From Mathematics: Calculus
  • Closed, but you can still post tutorials
  • Due on Feb. 04, 2009
  • Asked on Feb 04, 2009 at 3:16:38PM
Q:
hi i need step by step, proof by proof, i really need to understand each step if you can
 
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6.4 homework.jpg (228K)


   
   
   
   
joaog asked: do you want the circled exercises?
To which pianoboy11 said: yes the circle problems only
 
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Posted by:
gorgo20
gorgo20
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$5.00 solution

  • This tutorial was purchased 1 time and rated A+ by students like you.
  • Posted on Feb 05, 2009 at 03:56:19PM
A:
Preview: ... r changing the variables you get the integral<br><br>2/pi int from 0 to infinity of f(ut)/(1+t^2)dt<br><br>Now, f(ut)/(1+t^2) goes uniformly to f(0)/(1+t^2) since f is bounded, therefore<br>the integral goes to<br><br>2/pi int form 0 to infinity of f(0)/(1+t^2)=f(0)*2/pi*int from 0 to infinity of 1/(1+t^2)<br>=f(0)<br><br>since int from 0 to infinity of 1/(1+t^2) =pi/2<br><br>(here we use the fact that an antiderivative of 1/(1+t^2)<br>is arctan(t)<br><br>second circled problem:<br><br>Denote F(x)= int from 0 to inf of e^(-u^2)cos(xu)du ...

The full tutorial is about 274 words long plus attachments.

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problems.pdf (32K) (Preview)
   
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