Question
Prove by contradiction that the equation \(3 x^3-7 x^2+5=0\) has no integer roots.
Question
Consider the function \(f(x)=\sin \left(\frac{\pi}{12}-\frac{x}{4}\right)\) for \(x \in \mathbb{R}\).
(a) Show that the \(y\)-intercept of \(f(x)\) is \(\frac{\sqrt{6}-\sqrt{2}}{4}\)
(b) Find the least positive value of \(x\) for which \(f(x)=\frac{\sqrt{3}}{2}\).