anonymous
  • anonymous
Challenge (calculus)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
For what value of b is the line y = 10x tangent to the curve y = e^(bx)?
N00bstyle
  • N00bstyle
@hartnn, what are your thoughts about it?

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hartnn
  • hartnn
10 = be^(bx) and maybe to find point of intersection, 10x = e^(bx) still thinking further steps...
anonymous
  • anonymous
Medal is awaiting .. . :)
N00bstyle
  • N00bstyle
Haha, screw the medal :P
anonymous
  • anonymous
Oh wait I wrote the wrong thing down. I meant to write down what was in the attachment... one sec.
anonymous
  • anonymous
For what value of b is the line y = 5x tangent to the curve y = e^(bx)?
anonymous
  • anonymous
Same logic though.
N00bstyle
  • N00bstyle
yeah, idd, phew :P
mathmate
  • mathmate
At the required point, e^(bx) has a slope of 10 => be^(bx) = 10. We can solve for b using newton's method.
hartnn
  • hartnn
5 =be^(bx) 5x = e^bx ---> bx =1 ---->5x = e^1 x= e/5 b = 5/e
anonymous
  • anonymous
You have demonstrated your ability. Medal earned!
hartnn
  • hartnn
lol thanks :)
anonymous
  • anonymous
Although I like the idea of using Newton's method.. Sometimes it doesn't work though.
mathmate
  • mathmate
I agree. There are known strict conditions of convergence. We need to get a close starting point. In any case, we can solve for b=5/e here, but still you need to calculate x one way or another.
N00bstyle
  • N00bstyle
Good question btw, I like. Now back to drinking beer.

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