Given a complex number in the form:
The nth-power of this number,
, can be calculated as follows:
- the modulus of
is equal to the nth-power of the modulus of z, while the angle of
is equal to n multiplied the angle of z, so:
In our case, n=3, so
is equal to
(1)
And since
and both sine and cosine are periodic in
, (1) becomes
number y is 3 so 3 is greater than negative 2
Answer:
2,0
Step-by-step explanation:
Sorry if I got it wrong.
Answer:
7^12
Step-by-step explanation:
7^14
-----------
7^2
When we divide with the same base, we subtract the exponents
7^(14-2)
7^12
Answer:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 = -1
b ) q = √a/b
Step-by-step explanation:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 ⇒ e⁰ -(0) - cos(0) -1 = 1-0-1-1 = -1
B) The weekly cost of the company is C(q) = a/q + bq
In cost equation the term a/q represent the ordering cost. In fact if q increase the ratio a/q decrece and the term bq represent the storage cost that will grow as the storage quantity increase
C(q) = a/q + bq Taking derivative C´(q) = -a/q² + b
-a/q² = -b ⇒ a/q² = b ⇒ q² = a/b ⇒ q = √a/b