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2 years ago

Triangle with exactly 2 equal sides

Mathematics

2 answers:

oee [108]2 years ago

7 0

It’s an isosceles. Two sides are the same and the two angles are the same

r-ruslan [8.4K]2 years ago

4 0

Hey there!

ALL triangles has 3 sides. (Top and the two corners)

The only try that has the sides that are equal to each other is, the isosceles triangle ; the isosceles triangle is equal to 180°

Answer: ISOSCELES TRIANGLE ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Here’s an example SIDE A is EQUIVALENT (EQUAL) to SIDE B

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Irina18 [472]

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2 years ago

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 $f(-1)=\frac1e$ .

At the endpoints of [-2, 2], we have $f(-2)=1$ and $f(2)=e^8$ , so that $f$ has an absolute minimum of $\frac1e$ and an absolute maximum of $e^8$ on [-2, 2].

So we have

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

$\implies\displaystyle\int_{-2}^2\frac{\mathrm dx}e\le\int_{-2}^2f(x)\,\mathrm dx\le\int_{-2}^2e^8\,\mathrm dx$

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

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3 years ago