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

Question 6

The area $A\,$ under the curve $y=1x+1\displaystyle y = \frac{1}{x + 1}$ between $x = 0$ and $x = 2$ is estimated using four rectangles of equal width.

Show that the function is decreasing on this interval.

[2]

Find a lower bound for $A$ , giving your answer as an exact fraction.

[2]

Find an upper bound for $A$ , giving your answer as an exact fraction.

[2]

Markscheme

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

A Level
Maths
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.

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

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

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Question 6

The area $A\,$ under the curve $y=1x+1\displaystyle y = \frac{1}{x + 1}$ between $x = 0$ and $x = 2$ is estimated using four rectangles of equal width.

Show that the function is decreasing on this interval.

[2]

Find a lower bound for $A$ , giving your answer as an exact fraction.

[2]

Find an upper bound for $A$ , giving your answer as an exact fraction.

[2]

Markscheme

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

A Level
Maths
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.