Answer:
f'(N) = a(k² - N²)/(k² + N²)
The function increases in the interval
(-k < N < k)
And the function decreases everywhere else; the intervals given as
(-∞ < N < -k) and (k < N < ∞)
Step-by-step explanation:
f(N)=aN/(k²+N²)
The derivative of this function is obrained using the quotient rule.
Then to determine the intervals where the function is increasinumber and decreasing,
The function increases in intervals where f'(N) > 0
and the function decreases in intervals where f'(N) < 0.
This inequality is evaluated and the solution obtained.
The solution is presented in the attached image.
Hope this Helps!!!
The answer is CB, AC, and AB
Answer:

Step-by-step explanation:
----------------------------------------
Let's find the surface area of the pink rectangular prism first.




The surface area for the pink rectangular prism is
.
-------------------->>>>>
Now, let's find the surface area of the green rectangular prism.




The surface area for the green rectangular prism is 144
.
-------------------->>>>>
Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.


----------------------------------------
Hope this is helpful.
Answer:
0.1
Step-by-step explanation:
chance of pulling out a blue marble can be described as 8 equally probable outcomes (blue marbles) out of 20 equally probable outcomes (all marbles).
Similarly, the chance of pulling out a green marble is 5 out of 20.
In total, we have 8*5 (combinations of blue then green) outcomes out of 20*20 (any two marbles):
8*5 / (20*20) = 40 / 400 = 1/10 = 0.1

Formula :
Base²= Hypotenuse² - Perpendicular ²












Remember the a² in formula has nothing to do with the a we have to find. :)