Question

Can someone please help me with two simple Cal Equations

Answer 1

@ganeshie8 @hartnn @Zarkon

Answer 2

what eq can u write?

Answer 3

i cant think of one

Answer 4

dP/dt (where P-population)=?

Answer 5

u have learnt these right?

Answer 6

yes

Answer 7

ok then what is the rate of change of population?

Answer 8

dP/dt =?

Answer 9

actually i dont get it

Answer 10

can i just get the answer please

Answer 11

well..u must learn the concept behind it.. is suggest u look at some sample problems in ur book..i would have given an example but i m in a hurry..sry.. and Good Luck!

Answer 12

What you do not get?

Answer 13

the answer

Answer 14

Are you given the equation?

Answer 15

no

Answer 16

Okay. Let's derive it.

Answer 17

Hello,

we can model this equation, we can this will require a differential equation of the sort \[\frac{ dy }{ dt } = ky\] which give us the exponential functions \[y(t)=y(0)e^{kt}\] so in our case as we're dealing with population growth we can use the following: \[\frac{ dP }{ dt } = kP\] where k is the proportionality constant. And our relative growth will be \[\frac{ 1 }{ P }\frac{ dP }{ dt }\] which should be constant. So our equation then becomes \[P(t)=P_0e^{kt}\]

Answer 18

Our initial population is \(P_0\)
t = time
k = relative growth
P(t) = population at a time t

Answer 19

You may use this equation now to answer your questions

Answer 20

wait can you show me this in context

Answer 21

could you show me he equation plugged into the question

Answer 22

Ok, lets put all the information we have down first, can you do that please?

Answer 23

sure