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Delvig [45]
3 years ago
10

[15 Points, Algebra 2] In exercises 61-68, determine whether the relation is a function. Please explain

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0
#61 is a function. No x’s repeat. #63 is not a function since eight repeats twice. I cannot see the other two. Hope this helps!
Have a great day/night!
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The solution is  \frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

Step-by-step explanation:

From the question

    The function given is  f(x) =  \frac{e^{2x}}{ 25 + e^{4x}} dx

The  indefinite integral is  mathematically represented as

          \int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx

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= \frac{1}{2} \int\limits  {\frac{1}{ 25 + u^2)} } \, du

=  \frac{1}{2} \int\limits  {\frac{1}{ 5^2 + u^2)} } \, du

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Now substituting for  u

\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

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