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Algebraic Methods

Algebraic Methods

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Question 223

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.

[5]
Markscheme

Algebraic Methods Questions

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

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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