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levacccp [35]
4 years ago
13

For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical

form.
a = 4, b = 4, c =
Mathematics
1 answer:
Paladinen [302]4 years ago
3 0

well there is no triangle shown but assuming all the sides ar the same length youre answer would be 4 as well

hope i helped please mark as brainliest :)

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Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the com
fredd [130]

f(x)=e^{x^2+2x}\implies f'(x)=2(x+1)e^{x^2+2x}

f has critical points where the derivative is 0:

2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1

The second derivative is

f''(x)=2e^{x^2+2x}+4(x+1)^2e^{x^2+2x}=2(2x^2+4x+3)e^{x^2+2x}

and f''(-1)=\frac2e>0, which indicates a local minimum at x=-1 with a value of f(-1)=\frac1e.

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So we have

\dfrac1e\le f(x)\le e^8

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\implies\boxed{\displaystyle\frac4e\le\int_{-2}^2f(x)\,\mathrm dx\le4e^8}

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