Let's raise i to various powers starting with 0,1,2,3...
i^0 = 1
i^1 = i
i^2 = ( sqrt(-1) )^2 = -1
i^3 = i^2*i = -1*i = -i
i^4 = (i^2)^2 = (-1)^2 = 1
i^5 = i^4*i = 1*i = i
i^6 = i^5*i = i*i = i^2 = -1
We see that the pattern repeats itself after 4 iterations. The four items to memorize are
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.
To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.
This means i^25 = i^1 = i
Likewise,
i^5689 = i^1 = i
because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely
It's the first one (12, 15, 15, 17, 19, 19, 20, 22, 24)
Answer:
24.5025
Step-by-step explanation:
4.95 x 4.95=24.5025
Hope I helped!
It is <u><em>B</em></u> because they show the X variable next to the .50 cents meaning that this can change depending on how many the rider buys in this Equation.
Answer:
About 5.93412 radians.
Step-by-step explanation:
To calculate it you would multiply 340 by π/180 because if graphed, 340 degrees is located in the first quadrant.
I hope this helps! :)
