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1.2 Algebra and Functions

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Question 111

The altitude of a research drone, h(s)h(s)h(s) in metres, relative to a fixed marker is modelled by the polynomial function

h(s)=2s4+ps3−5s2+qs+12 h(s) = 2s^4 + ps^3 - 5s^2 + qs + 12 h(s)=2s4+ps3−5s2+qs+12

where s s\,s is the horizontal displacement in decametres from the marker and p p\,p and q q\,q are constants.

a.

At a displacement of s=2s = 2s=2, the drone's altitude is 24 m. Show that 4p+q=04p + q = 04p+q=0.

[3]
b.

At a displacement of s=−1s = -1s=−1, the drone's altitude is 15 m. Determine the value of p p\,p and the value of qqq.

[4]
Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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