Synthesize a four-bar mechanism using Freudenstein's equation to generate the function \(y=x^{1.5}\) for the interval \(1 \leq x \leq 4\). The input crank is to start from \(\theta_{2}=30^{\circ}\) and is to have a range of \(90^{\circ}\). The output crank angle is to vary from \(90^{\circ}\). Take three accuracy points.