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9.5 The Quotient Rule

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Question 16

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

A robotic arm's reach RRR (measured in cm) from a central hub is modeled by the equation

R(t)=3+2cos⁡t2+sin⁡t,0≤t≤2π R(t) = \frac{3 + 2 \cos t}{2 + \sin t}, \quad 0 \le t \le 2\pi R(t)=2+sint3+2cost​,0≤t≤2π

where t t\,t is the time in seconds. A technician identifies a point in time M M\,M when the reach is at its absolute minimum.

a.

Show that the value of t t\,t at M M\,M is a solution of the equation

4sin⁡t+3cos⁡t=−2 4 \sin t + 3 \cos t = -2 4sint+3cost=−2
[4]
b.

Hence find, to 3 significant figures, the value of t t\,t at the point MMM.

[4]
Markscheme

9.5 The Quotient Rule Questions

  1. A Level
  2. /Maths
  3. /9.5 The Quotient Rule

29 exam-style questions on Edexcel A Level Maths 9.5 The Quotient Rule. Each one has a worked solution and a mark scheme showing where the marks go.

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