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1.1.4 Proof by contradiction (A-level only)

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Question 78

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)=53​t5+18t+4sin(3t)

Use proof by contradiction to show that the weather balloon has no stationary points for any real value of ttt.

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1.1.4 Proof by contradiction (A-level only) Questions

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