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mestny [16]
3 years ago
12

I need help urgent with last question now pls

Mathematics
1 answer:
Sonja [21]3 years ago
7 0

Answer:

the median score must be between positions 71 and 72 in the table

the median score is 71.5

Step-by-step explanation:

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Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]
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For convenience sake, I will let y=f(x)=9e^{x}\sin x

First, we evaluate the function at the endpoints of the interval.

f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)

Setting this equal to 0,

9e^x (\cos x+\sin x)=0

Since 9e^x > 0, we can divide both sides by 9e^x.

\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}

f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}

So, the absolute minimum is \boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)} and the absolute minima are \boxed{(0,0), (\pi, 0)}

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2 years ago
17/33 in lowest terms
Vanyuwa [196]
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17/33 is in lowest terms. It cant be divided any farther. 
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Answer:

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Of the 25 girls on the Alden Middle School soccer team,40% also play on a travel team.How many of the girls on the middle school
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40%=40/100=4/10

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yulyashka [42]

Answer:

12.5 Percent.

Step-by-step explanation:

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