Exponential growth and decay models: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 20 + 10 e^{- 2 t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=20, A=10, k=2\).
Find Q(0).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential growth and decay models: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 21 + 12 e^{- 3 t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=21, A=12, k=3\).
Find Q(0).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential growth and decay models: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 21 + 12 e^{- 3 t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=21, A=12, k=3\).
Find \(\displaystyle Q(\frac{\ln 2}{k})- L\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential growth and decay models: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 22 + 14 e^{- 4 t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=22, A=14, k=4\).
Find \(\displaystyle Q(\frac{\ln 2}{k})- L\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential growth and decay models: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 22 + 14 e^{- 4 t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=22, A=14, k=4\).
Find Q′(0).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential growth and decay models: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 23 + 6 e^{- t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=23, A=6, k=1\).
Find Q′(0).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential growth and decay models: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 23 + 6 e^{- t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=23, A=6, k=1\).
Find the limiting value as t increases without bound.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exponential growth and decay models: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A quantity is modelled by \(Q{\left(t \right)} = 24 + 8 e^{- 2 t}\) for \(\displaystyle t\ge 0\). Here \(\displaystyle L=24, A=8, k=2\).
Find the limiting value as t increases without bound.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.