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LogicalAppleBest ResponseYou've already chosen the best response.1
For what value of b is the line y = 10x tangent to the curve y = e^(bx)?
 one year ago

N00bstyleBest ResponseYou've already chosen the best response.0
@hartnn, what are your thoughts about it?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
10 = be^(bx) and maybe to find point of intersection, 10x = e^(bx) still thinking further steps...
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.1
Medal is awaiting .. . :)
 one year ago

N00bstyleBest ResponseYou've already chosen the best response.0
Haha, screw the medal :P
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.1
Oh wait I wrote the wrong thing down. I meant to write down what was in the attachment... one sec.
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.1
For what value of b is the line y = 5x tangent to the curve y = e^(bx)?
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.1
Same logic though.
 one year ago

mathmateBest ResponseYou've already chosen the best response.0
At the required point, e^(bx) has a slope of 10 => be^(bx) = 10. We can solve for b using newton's method.
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
5 =be^(bx) 5x = e^bx > bx =1 >5x = e^1 x= e/5 b = 5/e
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.1
You have demonstrated your ability. Medal earned!
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.1
Although I like the idea of using Newton's method.. Sometimes it doesn't work though.
 one year ago

mathmateBest ResponseYou've already chosen the best response.0
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.
 one year ago

N00bstyleBest ResponseYou've already chosen the best response.0
Good question btw, I like. Now back to drinking beer.
 one year ago
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