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.
Answer:
475
Step-by-step explanation:
i divided the two numbers and got 556 so your estimate should be 475
Answer:
9
Step-by-step explanation:
2/5 x 2 = 4/5
4/5 x 2, or 2/5 x 4 = 1 3/5
1 3/5 x 2, or 2/5 x 8 = 3 1/5
3 1/5 + 2/5, or 2/5 x 9 = 3 3/5
Answer:
489.84 m²
Step-by-step explanation:
Area of one 2d circle: πr² ⇒ π6² ⇒ 36π ≈ 113.04 (using 3.14 for pi)
Area of both 2d circles: 113.04 + 113.04 =226.08 m²
Now we have to find the width of the rectangle, which is equal to the circumference of either circle:
Width of rectangle: 2πr ⇒ 2π6 = 12π ≈ 37.68 (using 3.14 for pi)
We can find the area of the rectangle now, since the length was given
Area of rectangle: 37.68· 7= 263.76 m²
Surface Area: 263.76+226.08= 489.84m²
Hopefully this helps!
The time when the two trains reach each other is 1.25 hours
The trains are 68.75 away from the city when they reach each other.
