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.
Practise AQA A Level Maths 1.4 A: Proof with exam-style questions for A Level Maths. 107 questions covering 1.4.1 Structure and methods of proof, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
