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IB Maths AI HL 5.15 Slope fields Question Bank

Practise IB Mathematics HL 5.15 by applying slope fields methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation HL
Level
HL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

AHL 5.15 (HL)—Slope fields question 1

[Maximum number: 2]

Consider the differential equation dy dx=xe2y\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{x}{\mathrm{e}^{2 y}}.

Identify which of the following diagrams, A, B or C, represents the slope field for the differential equation. Give a reason for your answer.

A

B

C

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