Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;

Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))
Answer:
Step-by-step explanation:
Let 'x' be the original price.
x + 39% of x = 197.38
x + 0.39 x = 197.38
1.39x = 197.38
x = 197.38/ 1.39
x = 142
Answer:
6000000 divided by 10 = 600000
Step-by-step explanation:
Your answer should make sense
Answer:

Step-by-step explanation:
We have given integral 

, here
and 
Now first integrate 
So 
Integrating by part



So
Answer:
10.7 cm^2
Step-by-step explanation:
First find the area of the base
A = 1/2 *2*1.7
A =1.7
Then find the area of one of the sides
A = 1/2 (2*3)
A = 3
There are 3 sides and they are identical
Multiply one of the sides by 3
3*3=9
Add the sides and the base together
9+1.7
10.7 cm^2