Question

the annual population of a country is increasing at a rate of 0.69% that is dp/dt =0.069. if the population is 50000 in 1995 find
P=50000 e^(0.069*t)
a) in 2000 population is when t=5
Then P= 50000e^(0.069*5) which = 70599

Part b asks "the rate at which the population will be growing in the year 2000" ?

Hw am i suppose to find rate ? I try finding k but it came o.o69

Answer 1

that is not the real differntial equation

Answer 2

it should be dp/dt=0.069*p

Answer 3

No its application of calculus to the physical world where k constant represents as dp/dt

Answer 4

you can do dp/dt at t=5

Answer 5

Oh wait yes i forgot to write P srry

Answer 6

yeah i know :P

Answer 7

I model equations for a living

Answer 8

So 5=o0.069 P

Answer 9

no

Answer 10

look at the p(t) equation

Answer 11

0.069*

Answer 12

Yea so dP/ 5 = 0.069P

Answer 13

P(t)=50000 e^(0.069*t)
P'(t)=0.069*50000*e^0.069t
P'(5)=0.069*50000*e^(0.069*5)=?

Answer 14

Oh i get it. Lol thnx