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natulia [17]
2 years ago
9

What is the domain if the function? Interval Notation.Thank you for the help!​

Mathematics
1 answer:
kramer2 years ago
5 0
Interval notation:

−
∞
,
−
2
)
∪
(
−
2
,
2
)
∪
(
2
,
∞
)

Hope this help I haven’t done this in awhile
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Please help with this calculus problem!
ELEN [110]
\dfrac{\mathrm dQ}{\mathrm dt}=\dfrac{a(1-5bt^2)}{(1+bt^2)^4}
Q(t)=\displaystyle\int\frac{a(1-5bt^2)}{(1+bt^2)^4}\,\mathrm dt

Let t=\dfrac1{\sqrt b}\tan u, so that \mathrm dt=\dfrac1{\sqrt b}\sec^2u\,\mathrm du. Then the integral becomes

\displaystyle\frac a{\sqrt b}\int\frac{1-5b\left(\frac1{\sqrt b}\tan u\right)^2}{\left(1+b\left(\frac1{\sqrtb}\tan u\right)^2\right)^4}\sec^2u\,\mathrm du
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One way to proceed from here is to use the power reduction formula for cosine:

\cos^{2n}x=\left(\dfrac{1+\cos2x}2\right)^n

You'll end up with

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