Answer:
x = 70
Step-by-step explanation:
Answer:
r<2
Step-by-step explanation:
3r+4<10
3r<-4+10
3r<6
r<2
<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:
The sequence is convergent and the serie is divergent.
Step-by-step explanation:
Sequence:
We calculate the limit when n tends to infinity to see if it is convergent or divergent:
then, the sequence is convergent.
Serie:
. To know if it converges we are going to use the limit test:
. If this limit is non equal to 0 the serie diverges.
, then the serie diverges.
Answer:
Julia is 48. Her youngest child is 12 and her oldest is 16.
Step-by-step explanation:
I guessed the youngest child's age (12) then I added 4 that equaled 16. Then I multiplied 12 by 4 which is 48. 48 plus 12 plus 16 equals 76. As for the 5d process I have no idea what that is your on your own for show work.