Problem Bank | IB Math AAHL

Find P(t).
[2]
Part (a):
P(t)=
Write down, without evaluation, the definite integral giving the total “mouse‑years” lived from t=1 to t=4.
[1]
Evaluate the integral found in part (b).
[1]

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[Maximum mark: 4]

Consider the population P(t) of island mice, where t is measured in years. The rate of change of the population is modeled by

dtdP=2t2−3t+1

and initially P(0)=50.

Find P(t).
[2]
Part (a):
P(t)=
Write down, without evaluation, the definite integral giving the total “mouse‑years” lived from t=1 to t=4.
[1]
Evaluate the integral found in part (b).
[1]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!

[Maximum mark: 4]

Consider the population P(t) of island mice, where t is measured in years. The rate of change of the population is modeled by

dtdP=2t2−3t+1

and initially P(0)=50.

Find P(t).
[2]
Part (a):
P(t)=
Write down, without evaluation, the definite integral giving the total “mouse‑years” lived from t=1 to t=4.
[1]
Evaluate the integral found in part (b).
[1]

[Maximum mark: 4]

Consider the population P(t) of island mice, where t is measured in years. The rate of change of the population is modeled by

dtdP=2t2−3t+1

and initially P(0)=50.

Find P(t).
[2]
Part (a):
P(t)=
Write down, without evaluation, the definite integral giving the total “mouse‑years” lived from t=1 to t=4.
[1]
Evaluate the integral found in part (b).
[1]