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Musya8 [376]
3 years ago
11

What is the derivative of te^-t/2

Mathematics
2 answers:
salantis [7]3 years ago
5 0
Y = t*e^(-t/2)

y' = t' [e^(-t/2)] + t [e^(-t/2)]' = e^(-t/2) + t[e^(-t/2)][-1/2]=

y' = [e^(-t/2)] [1 - t/2] = (1/2)[e^(-t/2)] [2 - t] = - (1/2) [e^-t/2)] [t -2]


Liula [17]3 years ago
5 0
Www.derivative<span>-calculator.net/ will help solve it :)</span>
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Find the exact value of Cos 240 degrees without a calculator. Show your work!
VMariaS [17]

it equals <span>(−<span>12</span>)</span> because <span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>

Explanation:

The reference angle for <span>240∘</span> is <span>60∘</span> (since <span><span>240∘</span>=<span>180∘</span>+<span>60∘</span></span>)

<span>60∘</span> is an angle of one of the standard triangles with 
<span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>

<span>240∘</span> is in the 3rd quadrant so (either by CAST or noting that the "x-side" of the associate triangle is negative)
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span>cos<span>(<span>60∘</span>)</span></span></span>

<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span><span>12</span></span></span>

6 0
3 years ago
A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thu
babymother [125]

\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}

4 0
2 years ago
A bicycle tire has a diameter of 62 cm.
MrRa [10]

Answer:

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Step-by-step explanation:

the circumference of any given circle is its diameter times pi. So, if you multiply the diameter times pi and then the circumference by 10 you get the number of inches traveled, if you divide that by 12 you get the number of feet traveled.

5 0
3 years ago
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natima [27]
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3 0
3 years ago
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anygoal [31]

Answer:

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Step-by-step explanation:

Remove   parentheses   (-a)=-a

= -5x.3

hoped i helped :) can i get brainiest

3 0
3 years ago
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