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!!!
Hoping the images i attached below help!!
The pattern is: Ducks always swim on that pond <em><u>in powers of 2</u></em> .
Monday ........ 2⁰ = 1
Tuesday ........ 2¹ = 2
Wednesday ... 2² = 4
Thursday ....... 2³ = 8
So
Friday ........... 2⁴ = 16
<em>Saturday ...... 2⁵ = 32</em> <=== the answer
AND ...
If they kept doing this for a month, then
on the 31st day there would be
2³⁰ = <em>1,073,741,824</em> (more than 1 billion) ducks out there !
Answer:
Amt. = 45000 ( 1+ 10/100 ) ^3
Interest = 45000 - Amt.
Step-by-step explanation:
Hope this helped have an amazing day!
Answer:
Answer = 235.5
Step-by-step explanation:
Cone volume formula is V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 5^2 * 9
V = 235.5
