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LogicalApple Group TitleBest 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

N00bstyle Group TitleBest ResponseYou've already chosen the best response.0
@hartnn, what are your thoughts about it?
 one year ago

hartnn Group TitleBest 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

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

N00bstyle Group TitleBest ResponseYou've already chosen the best response.0
Haha, screw the medal :P
 one year ago

LogicalApple Group TitleBest 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

LogicalApple Group TitleBest 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

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

N00bstyle Group TitleBest ResponseYou've already chosen the best response.0
yeah, idd, phew :P
 one year ago

mathmate Group TitleBest 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

hartnn Group TitleBest 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

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

hartnn Group TitleBest ResponseYou've already chosen the best response.1
lol thanks :)
 one year ago

LogicalApple Group TitleBest 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

mathmate Group TitleBest 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

N00bstyle Group TitleBest 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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