This discussion is now closed.

Check out other Related discussions

- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- A level maths UMS marks!!!
- Paris 2024 Paralympics: Closing Ceremony
- Hard C4 questions?
- Help i need a chemistry tutor
- Edexcel maths papers without blank pages in-between?
- Chem A level
- A-Level Music Technology 2023
- University through college - is this the right course for me?
- Edexcel Maths AS+A2 - All papers in one excel sheet (including solomon papers)!
- Resitting Bio,Chem,Maths A Levels! HELP
- Does LSE reconsider unsuccessful candidates?
- Ranmoor Room Colours!?
- What voice type am I?
- a level chem reccomendations
- Transgender fashion
- Chemistry A-level
- A Levels / gcse trauma
- Solomon or Elmwood or Delphis Papers?
- I need help understanding chemistry for my mocks

OK, I'm struggling on this question (Q21, Ex 4F). I was fine with parts a) and b), but I just can't get my head around c)! help much appreciated!

A population P is growing at the rate of 9% each year and at time t years may be approximated by the formula

P=P0(1.09)^t , t>(or equal to) 0

where P is regarded as a continuous function of t and P0 is the starting population at time t=0.

(a) Find an expression for t in terms of P and P0.

(b) Find the time T years when the population has doubled from its value at t=0, giving your answer to 3 s. f.

(c) Find, as a multiple of P0, the rate of change of population dP/dt at time t=T

A population P is growing at the rate of 9% each year and at time t years may be approximated by the formula

P=P0(1.09)^t , t>(or equal to) 0

where P is regarded as a continuous function of t and P0 is the starting population at time t=0.

(a) Find an expression for t in terms of P and P0.

(b) Find the time T years when the population has doubled from its value at t=0, giving your answer to 3 s. f.

(c) Find, as a multiple of P0, the rate of change of population dP/dt at time t=T

Sockpirate

OK, I'm struggling on this question (Q21, Ex 4F). I was fine with parts a) and b), but I just can't get my head around c)! help much appreciated!

A population P is growing at the rate of 9% each year and at time t years may be approximated by the formula

P=P0 (1.09)t , t>(or equal to) 0

where P is regarded as a continuous function of t and P0 is the starting population at time t=0.

(a) Find an expression for t in terms of P and P0.

(b) Find the time T years when the population has doubled from its value at t=0, giving your answer to 3 s. f.

(c) Find, as a multiple of P0, the rate of change of population dP/dt at time t=T

A population P is growing at the rate of 9% each year and at time t years may be approximated by the formula

P=P0 (1.09)t , t>(or equal to) 0

where P is regarded as a continuous function of t and P0 is the starting population at time t=0.

(a) Find an expression for t in terms of P and P0.

(b) Find the time T years when the population has doubled from its value at t=0, giving your answer to 3 s. f.

(c) Find, as a multiple of P0, the rate of change of population dP/dt at time t=T

just to make clear $P=P_01.09t$

rbnphlp

just to make clear $P=P_01.09t$

Ah, oops! thats should be (1.09)^t

Sockpirate

OK, I'm struggling on this question (Q21, Ex 4F). I was fine with parts a) and b), but I just can't get my head around c)! help much appreciated!

A population P is growing at the rate of 9% each year and at time t years may be approximated by the formula

P=P0 (1.09)t , t>(or equal to) 0

where P is regarded as a continuous function of t and P0 is the starting population at time t=0.

(a) Find an expression for t in terms of P and P0.

(b) Find the time T years when the population has doubled from its value at t=0, giving your answer to 3 s. f.

(c) Find, as a multiple of P0, the rate of change of population dP/dt at time t=T

A population P is growing at the rate of 9% each year and at time t years may be approximated by the formula

P=P0 (1.09)t , t>(or equal to) 0

where P is regarded as a continuous function of t and P0 is the starting population at time t=0.

(a) Find an expression for t in terms of P and P0.

(b) Find the time T years when the population has doubled from its value at t=0, giving your answer to 3 s. f.

(c) Find, as a multiple of P0, the rate of change of population dP/dt at time t=T

c. Differentiate, you should have learnt how to differentiate a^x.

malolis

c. Differentiate, you should have learnt how to differentiate a^x.

Yes, I know how to differentiate a^x, but there are three unknowns? P, Po and t.

malolis

Po is a constant, not a variable. Just differentiate it as you would differentiate 2 or 3 or 9999

I get dP/dt=Po(1.09^T)(ln1.09)

I get dP/dt=Po(1.09^T)(ln1.09)

Oh god, of course it is! OK, thank you so much ^^

What rule do you use? Chain, product or quotient?

- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- A level maths UMS marks!!!
- Paris 2024 Paralympics: Closing Ceremony
- Hard C4 questions?
- Help i need a chemistry tutor
- Edexcel maths papers without blank pages in-between?
- Chem A level
- A-Level Music Technology 2023
- University through college - is this the right course for me?
- Edexcel Maths AS+A2 - All papers in one excel sheet (including solomon papers)!
- Resitting Bio,Chem,Maths A Levels! HELP
- Does LSE reconsider unsuccessful candidates?
- Ranmoor Room Colours!?
- What voice type am I?
- a level chem reccomendations
- Transgender fashion
- Chemistry A-level
- A Levels / gcse trauma
- Solomon or Elmwood or Delphis Papers?
- I need help understanding chemistry for my mocks

Latest

Trending

Last reply 1 month ago

How do l find the min & max radius of a circle on an argand diagramMaths

2

4