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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 127

The structural strain S S\,S on a cantilever beam, relative to its resting state, is modeled as a function of the distance ddd (in decimetres) from the fixed support, given by S=ψ(d)S = \psi(d)S=ψ(d). The point K(40,−100)K(40, -100)K(40,−100) lies on the curve with equation S=ψ(d)S = \psi(d)S=ψ(d), where d∈R,d≥0d \in \mathbb{R}, d \ge 0d∈R,d≥0.

Determine the new coordinates of the point to which K K\,K is mapped when the curve is transformed to have the equation:

a.

S=ψ(2.5d)S = \psi(2.5d)S=ψ(2.5d)

[2]
b.

S=0.4ψ(d+10)S = 0.4\psi(d + 10)S=0.4ψ(d+10)

[3]
c.

S=∣ψ(d)∣S = |\psi(d)|S=∣ψ(d)∣

[1]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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