Answer:
Solution : 
Step-by-step explanation:
![-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]](https://tex.z-dn.net/?f=-3%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%7D%7B4%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%7D%7B4%7D%5Cright%29%5Cright%5D%5C%3A%5Cdiv%20%5C%3A2%5Csqrt%7B2%7D%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%5Cright%5D)
Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

=
÷ 
=
÷ 
=
÷
=
÷
= 
As you can see your solution is the last option.
Answer:
♡ madeline here ♡
1+1=2 i'm so sorry i am late! ☆
have a great day! hope this helps.
- madeline/madi
✧・゚: *✧・゚:・゚✧*:・゚✧・゚
Step-by-step explanation:
Answer:
hah idk grams? wait no pounds
Step-by-step explanation:
the answer is pounds
Answer:
the temperature in London would be -1 degrees as 5-6=-1
Answer:
The rate of change of the distance
when x = 9 and y = 12 is
.
Step-by-step explanation:
This is an example of a related rate problem. A related rate problem is a problem in which we know one of the rates of change at a given instant
and we want to find the other rate
at that instant.
We know the rate of change of x-coordinate and y-coordinate:

We want to find the rate of change of the distance
when x = 9 and y = 12.
The distance of a point (x, y) and the origin is calculated by:

We need to use the concept of implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variables as a function of the other.
If we apply implicit differentiation in the formula of the distance we get

Substituting the values we know into the above formula


The rate of change of the distance
when x = 9 and y = 12 is 