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

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

rebeccaskell94Best ResponseYou've already chosen the best response.0
I haven't passed 4th grade math yet.
 one year ago

HonourBest ResponseYou've already chosen the best response.1
Oh that's ok then (= thanks anyhow
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
do you know the basics of continuity ?
 one year ago

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

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

hartnnBest ResponseYou've already chosen the best response.1
do you you something like that ^ ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
for 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
 one year ago

HonourBest ResponseYou've already chosen the best response.1
Honestly that is all I know
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
when 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 ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
just add k to both sides.
 one year ago
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