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:
no, it's a mcdonalds pepsi
Step-by-step explanation:
Answer:
55° and 125°
Step-by-step explanation:
Formulate an equation x + (x+70) = 180
Combine like terms to get 2x + 70 = 180
Subtract 70 on both sides to get 2x = 110.
Divide both sides by 2 to get x = 55.
Add 70 to 55 to get 125.
Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
Sharing size:
radius 3r, height h. So
About how many times more popcorn does the sharing cone hold than the skinny cone?
The sharing cone holds about 9 times more popcorn than the skinny cone.
Answerno idea
Step-by-step explanation:
