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Sergio039 [100]
3 years ago
12

Suppose you are growing lettuce in plastic trays. You found out that your lettuce culture follows a logistic growth model with r

=0.1 g/g.day and K=100 g per tray.
What is the maximal number of grams of lettuce could you harvest per day to keep your lettuce cultures at a constant size?
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

\frac{dN}{dt}=2.5 g/day

Step-by-step explanation:

The logistic model equation is a differential equation, given by:

\frac{dN}{dt}=r\left(\frac{K-N}{K} \right)N

Now, in this particularly model the optimum yield is at K/2. This value is the population here, so N=K/2.

\frac{dN}{dt}=0.1\left(\frac{100-(100/2)}{100} \right)(100/2)

\frac{dN}{dt}=2.5 g/day

Have a nice day!

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The distance from the second destination back to Dallas is 918 miles

<h3>Given</h3>

A triangle has points Dallas, destination 1, and destination 2.

The distance from Dallas to destination 1 is 720 miles

The distance from destination 1 and destination 2 is 290 miles

the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.

He moves from destination 1 to Dallas then destination 2

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<h3>What is cosine law?</h3>

The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule

b^{2}=a^2+c^2-2ac*cosB

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=841993.6

b=917.6 miles

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The distance is 918 miles  he will fly from the second destination back to Dallas

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