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 2 years ago
If possible, choose k so that the following function is continuous on any interval (equation in post).
 2 years ago
If possible, choose k so that the following function is continuous on any interval (equation in post).

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Honour
 2 years ago
Best ResponseYou've already chosen the best response.1\[f(x)=\left[\begin{matrix}kcos(x), & x \le0 \\ 10e^{x}k,&0< x \end{matrix}\right]\]

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.0I haven't passed 4th grade math yet.

Honour
 2 years ago
Best ResponseYou've already chosen the best response.1Oh that's ok then (= thanks anyhow

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1do you know the basics of continuity ?

Honour
 2 years ago
Best ResponseYou've already chosen the best response.1that the line must contiously go and still be a function (one to one) =P if that's what you mean

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1i meant, if f(x) is continuous, at x=0, \[\lim \limits{x \rightarrow 0^} f(x)=\lim \limits{x \rightarrow 0^+f(x)}\]

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1do you you something like that ^ ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1for x>0 , since x<0, select k cos x and put x=0 for x>0+ , since x>0, select 10e^xk and put x=0

Honour
 2 years ago
Best ResponseYou've already chosen the best response.1Honestly that is all I know

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1when x>0, lim kcos x = k cos 0 = k when x>0+, lim 10e^xk = 10e^0k =10 k for continuity k=10k can you find k from here ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1just add k to both sides.
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