The logistic equation for the population (in thousands) of a certain species is given by dp/dt = 3p - 2p^2. a. Sketch the direction field by using either a computer software package or the method of isoclines. b. If the initial population is 3000 [that is, p(0) = 3], what can you say about the limiting population lim_t rightarrow + infintity p(t)? c. If p(0) = 0.8, what is lim_t rightarrow + infinity p(t)? Can a population of 2000 ever decline to 800?

54

step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.