+∞
∫ x · e ^(-x² ) dx = / The substitution: u = - x², x d x = - du / 2
-∞
+∞
= - 1/2 · ∫ e ^(u) du = - 1/2 · e ^(-x²) /
- ∞
e^(-∞) = 1 / e^(∞)
= -1/2 · [ 1/ e^(∞) - 1/ e^(∞) ] = -1/2 · ( 0 - 0 ) = 0
You should use paper to help this but you gotta make 1 1/4 into an improper fraction start at 3/4 then whatever you get as a improper fraction move it towards that space for example if you get 5/4 you move 5 spaces to your right since your working with positive not negative! I hope this helps you out
Answer:
6 minutes per kilometer
Step-by-step explanation:
[] First, let's get one unit. I will be using minutes;
2 hours 6 minutes = 120 mintues + 6 mintues = 126 mintues
[] There are about 21 kilometers in a half-marathon;
126 minutes / 21 kilometers = 6 minutes per kilometer
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
n=15
Step-by-step explanation:
5(n+1)=2n+20
U start by expanding the first term which will give you 5n+5
Then after that u collect like terms giving u
5n-2n=20-5
Finally u evaluate it giving u
n=15