Answer:
Step-by-step explanation:
We have to evaluate the fourth roots of unity.
For each natural number say 'n', there are exactly 'n' nth roots of unity which is expressed in the form as
where k=0,1,2,.... n-1
Since we have to evaluate the fourth root of unity.
Therefore, we take k=0,1,2,3 and n=4
So, we get
Now, For k=0, we get our first root as:
First root = 1
Now, for k=1, we get
(Eulers Formula)
So,
So, second root = i
Now, for k=2, we get
(Eulers Formula)
So,
Third root = -1
Now, for k=3, we get
(Eulers Formula)
So,
So, fourth root = -i
Hence, all the fourth roots of unity are 1, i, -1 and -i
Therefore, option D is correct as all the given roots in option A, B and C are the fourth roots of unity.
Mass × gravitational energy × height
= gravitational potential energy
= joules
by interrelating the formula,
mass (unknown) × 10 × 629.9
= 2033.76
unknown = 0.32??
this is my working ^ but I'm not positive that it's 100% correct!
Answer:
what are the expressions
Step-by-step explanation:
we have given y interms of x.
we have given that add 2 to x.
which means
so we have .
so when x.
.
.