The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
1.44 per kg
take 1.3 x 2, then subtract 12.7, finally divide that by 7
Simply add the three decimals to find Kareem's total distance.
1.6 + 11.5 + 15 = 28.1
(0.6 + 0.5 = 1.1, 1 + 11 + 15 = 27, 27 + 1.1 = 28.1)
<h2>Answer:</h2>
<u>Kareem ran </u><u>28.1 km</u><u> on those three days.</u>
I hope this helps :)
Use the trigonometry triangles SOH CAH TOA
Sin= opposite/hypotenuse
Opposite= opposite the angle
Hypotenuse is the longest side
