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aliya0001 [1]
3 years ago
11

There are 10 multiple-choice questions on a math quiz. Each question has four answer choices with one correct

Mathematics
2 answers:
Vikentia [17]3 years ago
6 0

Answer:

A) No, the order of the questions is unknown.

Step-by-step explanation:

By not knowing the amount of questions answered correctly you can determine that the questions were scrambled like in a normal quizz and you needed to find a solution for it. So in order to do that we need some sort of order but since there is none then the answer is A. THe questions are independent becouse each question can be diffrent in its own unique style.

shutvik [7]3 years ago
5 0

B.) Yes, all four conditions in BINS have been met.

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Step-by-step explanation:

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hope this helped!

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Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]
Molodets [167]

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)}

3 0
2 years ago
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