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labwork [276]
3 years ago
8

What is the equation of a line in slope intercept form, given that the slope of the line is 1 and a point on

Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

y= -x +2

Step-by-step explanation:

y-y1 = m(x-x1)

y - 0 = 1(x - (-2))

y = -x + 2)

y = x + 2.

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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

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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)

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

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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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1 year ago
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Answer:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
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