Answer:
12.6
Step-by-step explanation:
Given the function, F(x)=20/4+3e−0.2x
Where e is an exponential function,
To get f(3), we need to substitute x = 3 into the given function
F(3) = 20/4 + 3e - 0.2(3)
f(3) = 5 + 3e - 0.6
f(3) = 4.4+3e
Substituting the value of e = 2.718
f(3) = 4.4+3(2.718)
f(3) = 12.554
f(3) = 12.6 to the nearest tenth.
<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>
2/21 * 7/8
14/168
divide top and bottom by 14
1/12
Theres 12 inches in a foot. So 12x8=96
Answer:
V = 1/3 ( 35)*12
Step-by-step explanation:
The volume is given by
V = 1/3 Bh
Where B is the area of the base
V = 1/3 ( 35)*12
