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1.10.7 Upper and lower bounds using rectangles (A-level only)

1.10.7 Upper and lower bounds using rectangles (A-level only)

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Question 2

The curve y=x2y = x^2y=x2 is considered for 0≤x≤10 \leq x \leq 10≤x≤1.

The interval is divided into four strips of equal width.

a.

Explain why rectangles whose heights are taken at the left-hand endpoints give a lower bound for the area under the curve.

[1]
b.

Calculate this lower bound.

[2]
c.

Calculate a corresponding upper bound.

[2]
d.

Hence state bounds for the area under the curve.

[1]
Markscheme

1.10.7 Upper and lower bounds using rectangles (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10.7 Upper and lower bounds using rectangles (A-level only)

8 exam-style questions on OCR (MEI) A Level Maths 1.10.7 Upper and lower bounds using rectangles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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