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Algebraic Methods

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Question 187

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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Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 261 questions covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel A Level Maths (9MA0) 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