Part a
Write an expression for the area, \(A(x)\), of the rectangle as a function of its length, \(x\).
Part a
Given a rectangle with perimeter 100 units, express its area \(A\) as a function of one side, \(x\). Let the other side be \(y\).
Part a
Formulate a function \(P(t)\) that models the population growth over time \(t\), assuming an initial population \(P_0\) and a continuous growth rate \(r\). Use the standard exponential growth model.