(a)
![f'(x) = \frac{d}{dx}[\frac{lnx}{x}]](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Cfrac%7Blnx%7D%7Bx%7D%5D)
Using the quotient rule:
For maximum, f'(x) = 0;
(b) <em>Deduce:
</em>
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
, since ln(e) is simply equal to 1
Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
, as required.
Answer:
The answer is most likely 5 shrimp eats 5 grams of food im one day,
Step-by-step explanation:
At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. <em>What is the constant of proportionality and what does it tell us about the situation?</em>
So, We know the shrimp is fed 1/5 gram of food each feeding, And we know the shrimp is fed 3 times each day.
Now, We need to answer the question, <u><em>What is the constant of proportionality and what does it tell us about the situation?</em></u>
<u><em /></u>
Then, That means '5, shrimp eats 5 grams of food in one day
' is correct.
Answer:true!!!
Step-by-step explanation:
