Answer:
Moon is between sun and earth
then:
the order is:
sun - moon - earth
<span>we have that
the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]
we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]
z1=3[cos 110° + i sin 110°]
cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]
z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is
</span>z1=3[cos 110° + i sin 110°]<span>
</span>z2=3[cos 230° + i sin 230°]
z3=3[cos 350° + i sin 350°]<span>
</span>
Answer:
Step-by-step explanation:
as you can see something amazing happens in 10 in this function . If you replace x with 10 you get 1/0 wich an indetermined form in Mathematics.
Now we are sure that there is a vertical asymptote in 10. Let's see identify the limit in the left of 10.
let's assign some values to x that are smaller than 10.
1. x=9
1/(9-10)= -1
a negative value
2. x=8
1/(8-10)= -1/2
a negative value
let try a reallu colse value to 10 like 9.99
1/(9.99-10)=-100
a negative value
so we can deduce that the limit is -∞
lim [1/(x-10)]=-∞
x→10-
Answer: I believe it the probability of this would be 1/3.
Step-by-step explanation: This is mainly because if the chances of rolling a 5 or a 4 on a die or fair numbered cube, which contains 6 sides, then landing on 5 or 4 would be 2 out of the six chances it would land on those two numbers. Hope this helps!
