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

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

hartnn
 one year ago
Best ResponseYou've already chosen the best response.110 = be^(bx) and maybe to find point of intersection, 10x = e^(bx) still thinking further steps...

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

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

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

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

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

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

hartnn
 one year ago
Best ResponseYou've already chosen the best response.15 =be^(bx) 5x = e^bx > bx =1 >5x = e^1 x= e/5 b = 5/e

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

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

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