Answer:
1.35cm
Step-by-step explanation:
Given the scale of the map
1cm = 100km
For 135km;
x cm = 135 km
Divide both equations
1/x = 100/135
100x = 135
x = 135/100
x = 1.35cm
Hence the map distance will be 1.35cm
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.
Domain={-4,3} range={2,3}
5,000
is 300 closer to 100 or 1000?
or
is 3 closer to 1 or 10?
