By first principles, the derivative is

Use the binomial theorem to expand the numerator:


where

The first term is eliminated, and the limit is

A power of
in every term of the numerator cancels with
in the denominator:

Finally, each term containing
approaches 0 as
, and the derivative is

5s subshell represent that n is equal to 5 and l is equal to 0.
2p subshell represent that n is equal to 2 and l is equal to 1.
3d subshell represent that n is equal to 3 and l is equal to 2.
The numbers gives us the value of n and the letter gives us the value of l.
s means l = 0
p means l = 1
d means l = 2
f means l = 3
Answer:
Students on Honor Roll had no advantage to get the Science class requested. It was a fair class assignment. In fact No Honor Roll students had advantage over honor Roll Students in obtaining Science Class as requested.
Step-by-step explanation:
Here let us streamline the information we are given one by one
1.) Honor Roll
Get Requested Science Class : 64
Did Not get Requested Science Class : 80
Total : 144
Percentage of Honor Roll Students getting Science class as requested =

= 44.44%
2.) No Honor Roll
Get Requested Science Class : 315
Did Not get Requested Science Class : 41
Total : 356
Percentage of Non Honor Roll Students getting Science class as requested 
= 88.8%
By observing the above result , we can assume that Honor Roll students did not have any advantage over non Honor Roll students in getting Science Class as they requested.
Answer:
17/20
Step-by-step explanation:
Total no. of beads = 6 + 3 + 11 = 20
We need RED or GREEN bead .
So no. of beads needed = 6 + 11 = 17
So probability of getting GREEN or RED beads = 17/20