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artcher [175]
2 years ago
7

2 5/6 years is how many months

Mathematics
2 answers:
Goryan [66]2 years ago
7 0

Final Answer: 34 months

Steps/Reasons/Explanation:

Hey there! Each year is 12 months. We can see that 2 years is already given. 2 years × 12 months = 24 months.

For \frac{5}{6} we will multiply it by two to find the remaining amount of months. \frac{5}{6} × 2 = \frac{10}{12}. This means that there is an extra 10 months of a year remaining.

Now we have to add them up. 24 months + 10 months = 34 months.

~I hope I helped you :)~

blagie [28]2 years ago
4 0
2 5/6 years Is 34 months
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2 years ago
How to find the derivative of cos^2x? i seem to be confused.
slamgirl [31]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2927231

————————

You can actually use either the product rule or the chain rule for this one. Observe:

•  Method I:

y = cos² x

y = cos x · cos x


Differentiate it by applying the product rule:

\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x\cdot cos\,x)}\\\\\\
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The derivative of  cos x  is  – sin x. So you have

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\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark

—————

•  Method II:

You can also treat  y  as a composite function:

\left\{\!
\begin{array}{l}
\mathsf{y=u^2}\\\\
\mathsf{u=cos\,x}
\end{array}
\right.


and then, differentiate  y  by applying the chain rule:

\mathsf{\dfrac{dy}{dx}=\dfrac{dy}{du}\cdot \dfrac{du}{dx}}\\\\\\
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\mathsf{\dfrac{dy}{dx}=2u^{2-1}\cdot \dfrac{d}{dx}(cos\,x)}\\\\\\
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and then you get the same answer:

\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>

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