The altitude h h\,h of a weather balloon, measured in decameters, is modeled as a function of time ttt (in minutes) by the equation
h(t)=35t5+18t+4sin(3t) h(t) = \frac{3}{5}t^5 + 18t + 4\sin(3t) h(t)=53t5+18t+4sin(3t)Use proof by contradiction to show that the weather balloon has no stationary points for any real value of ttt.
