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Determine the value of the constant k...

Determine the value of the constant `k` so that the function `f(x)={k x^2\ \ \ ,\ \ \ if\ xlt=2 3\ \ \ ,\ \ \ if\ x >2` is continuous.

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Given,

`f(x)= k x^{2}, text { if } x leq 2 3, text { if } x>2`

Since `f(x)` is continuous at `x=2`.

Therefore,

...
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