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1.4 A: Proof

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Question 45

The voltage VVV in an electrical circuit is modeled by the function

V(t)=5t+19t9+2cos⁡t V(t) = 5t + \frac{1}{9}t^9 + 2\cos t V(t)=5t+91​t9+2cost

for t∈Rt \in \mathbb{R}t∈R, where ttt is the time in seconds. Use proof by contradiction to prove that the voltage function has no stationary points.

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1.4 A: Proof Questions

  1. A Level
  2. /Maths
  3. /1.4 A: Proof

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.

Question bank