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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 346

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

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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