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anonymous
 3 years ago
Determine the value of c so that f(x) is continuous on the entire real line if: f(x) = {x^2 for x< or = 3; c/x for x >3}
anonymous
 3 years ago
Determine the value of c so that f(x) is continuous on the entire real line if: f(x) = {x^2 for x< or = 3; c/x for x >3}

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0this is much easier than you think

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0replace \(x\) by \(3\) in the first expression, get \(3^2=9\) then set \(\frac{c}{3}=9\) and solve for \(c\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then they will agree when \(x=3\) and so it will be continuous

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Wow. :( Math always seems so much harder than you think.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, but once you know it it gets much easier think about when you were learning to add fractions (which is harder than this!)
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