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.
The rise is the vertical distance between the two points, which is the difference between their y-coordinates. That makes the rise y2 − y1. The run between these two points is the difference in the x-coordinates, or x2 − x1.
Answer:
1.) 471.24
2.) 1231.5
3.) 113.1
Step-by-step explanation: A = pi x r^2 + pi x r x ^2
1.) a = 3.14 x (5)^2 + 3.14 x 5 x ^2
a = 3.14 x 25 + 3.14 x 5 x 25
a = 78.54 + 392.70
a ≈ 471.24
2.) A = 3.14 (7)^2 + 3.14 x (7) x ^2
a = 3.14 x 49 + 3.14 x 7 x 49
a = 153.93 + 1077.57
a ≈ 1231.5
3.) a = 3.14 (3)^2 + 3.14 x 3 x ^2
a = 3.14 x 9 + 3.14 x 3 x 9
a = 28.27 + 84.82
a ≈ 113.1
Answer:
111.375
Step-by-step explanation:
each triangle are equal to each other, it equals (b x h)/2
good luck and thanks for the brainliest!
Work out 180-96 cus it’s on a straight line then work out 180-130 then add them then and take away from 180
