mathtard
Can anyone please help me with this problem?
\[f(t)\sqrt{t^2+1}\]
find the function if it exists
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estudier
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I suppose the function sqrt(t^2+1) does indeed exist...
mathtard
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but how do you find the function?
estudier
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U appear to have found it, it's right there...
mathtard
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That is the question
estudier
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U are saying find the function but u are telling me what the function is?????
mathtard
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that is how the problem is written. ???????
estudier
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I dont understand what u want me to do, neither does anybody else.
mathtard
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well i am just writing the problem the way it is written.
mathtard
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oops
find the function value if it exists
mathtard
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sorry
i thought I wrote value .
estudier
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The only thing I can say about the function is that it must be positive by definition.
Else you have to provide a t to enable calculation of a value for that particular value of t.
Alchemista
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\[f(t)\sqrt{t^2+1} \cdot \sqrt{t^2+1}^{-1} = f(t)\]
which is the "value" of the function at t
mathtard
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it says f(0)= ??????
estudier
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That-s better....
mathtard
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sorry about that estudier.
Alchemista
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So you mean \[ f(t) = \sqrt{t^2+1}\]\[\text{Find $f(0)$}\]
estudier
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Alchemista
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\[f(0) = \sqrt{(0)^2+1} = \sqrt{1} = 1\]
mathtard
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Thank you!!!!