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kolbaska11 [484]
4 years ago
11

Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the diffe

rential equation dPdt=cln(KP)P where c is a constant and K is the carrying capacity. Answer the following questions.
a. Solve the differential equation with a constant c=0.1, carrying capacity K=3000, and initial population P0=1000. Answer: P(t)=
(b) Compute the limiting value of the size of the population. limt→[infinity]P(t)= .(c) At what value of P does P grow fastest? P= .

Mathematics
1 answer:
g100num [7]4 years ago
7 0

Answer:

Step-by-step explanation:

Check attachment for solution

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I need help with number 4 please help
Gemiola [76]
You have to multiply 3 by 10 and 8 by 3, then subtract them

30/80 - 24/80 = 6/80

then simplify

6/2 and 80/2

3/40

6 0
4 years ago
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The velocity of a car after t seconds is 2t+3 feet per second. (a) How far does the car travel between t=4 second and t=10 secon
eduard

Answer:

So you add the 7890+097 than do your 4

Step-by-step explanation:

6 0
3 years ago
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Tricia is looking to buy speakers that cost $349 plus the sales tax rate, which is 2.7%. What is the total amount she will pay a
m_a_m_a [10]

Answer:

The total amount she will pay after taxes is $339.58

Step-by-step explanation:

The Total cost of the speaker plus tax = $349

The tax rate applied = 2.7%

Tax payable = $349 * 2.7% = $9.423

The tax amount on the speaker is Tricia = $9.423

Thus, the total amount she will pay after taxes (i.e. paying $9.423) for purchase of the Speaker will be = $349 - $9.423 = $339.58.

The original price of the speaker excluding tax is $339.58.

5 0
4 years ago
In the standard (x,y) coordinate plane, point A has coordinates (−4,0) and point B has coordinates (0,−8). What are the coordina
d1i1m1o1n [39]
A (-4,0), \ B (0,-8) \\ \\The \ midpoint \ M \ of \ the \ line \ segment \ joining \ the \ points \\ \\ (x _{1}, y _{1}) \ and \ (x _{2}, \ y _{2}) \ is : \\ \\ M=(\frac{x_{1}+x_{2}}{2};\frac{y_{1}+y_{2}}{2})

M=(\frac{-4+0}{2};(\frac{0+(-8)}{2})\\ \\ M=(\frac{-4}{2}; \frac{-8}{2})\\ \\M=(-2;-4)



4 0
3 years ago
In how many different ways can a man divide 7 different gifts among his 3 children if the eldest is to receive 3 gifts and the o
krok68 [10]

The order in which gifts are received doesn't matter - if child X gets toy 1 then toy 2, it's the same as giving child X toy 2 then toy 1 - so we are counting combinations.

The eldest child receives 3 of the 7 gifts, so they have

\dbinom 73 = \dfrac{7!}{3!(7-3)!} = 35

possible choices of gifts.

The next child receives 2 of the remaining 4 gifts, so they have

\dbinom 42 = \dfrac{4!}{2!(4-2)!} = 6

choices.

The last child receives the remaining 2 gifts, and there is only

\dbinom22 = \dfrac{2!}{2!(2-2)!} = 1

way to select the gifts for them.

By the multiplication using, the total number of ways of distributing 7 gifts among 3 children in the prescribed way is 35 • 6 • 1 = 210.

7 0
2 years ago
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