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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 5

The area A A\,A under y=x3+xy=x^3+xy=x3+x from x=1x=1x=1 to x=2x=2x=2 is estimated using 50 equal-width rectangles.

The lower sum is L50=5.1703L_{50}=5.1703L50​=5.1703.

a.

Show that the right-endpoint sum is an upper bound.

[2]
b.

Without evaluating all 50 right-endpoint heights, find U50U_{50}U50​.

[3]
c.

Hence give bounds for AAA.

[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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