Answer:
Step-by-step explanation:
dy/dx = d/dx log root under x-1 / root under x+1
dy/dx = root under x+1 / root under x-1 * 1/(x+1)^2/3 * 1/root under x-1
dy/dx = (x+1)^2/ x-1
The probability of getting the correct order in the spelling bee is 1 chance in 362,880.
This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.
For the first spot there are 9 choices, then 8 choices, then 7 choices....
We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880
Another way to write this is: 9!
Given that 
, and 
, this first step can be to make the equations equivalent to one another. As you can see, each equation is equal to a constant, e. Therefore, we can conclude that the equations can be equal to one another as well ( transitivity ).
_____
Nice and simple question we have here! The step that can be used to find the solution should be 
.
Answer:
(4x - 11i)(4x -+11i)
Step-by-step explanation:
Factor as a difference of squares
a² - b² = (a - b)(a + b)
note that i² = - 1
Given
16x² + 121
= (4x)² - (11i)²
= (4x - 11i)(4x + 11i)
