Four rectangles of equal width are drawn and used to approximate the area under the parabola
The heights of the rectangles are the values of the graph of
- State the width of each of the rectangles shown above. (1 mark)
- Find the total area of the four rectangles shown above. (1 mark)
- Find the area between the graph of
, the -axis and the line . (2 marks) - The graph of
is shown below.
Approximate
using four rectangles of equal width and the right endpoint of each rectangle. (1 mark)
Parts of the graphs of
- Find the area of the shaded region. (1 mark)
- The graph of
is transformed to the graph of , where . - Find the values of
such that the area defined by region(s) bounded by the graphs of and and the lines and is equal to . Give your answer correct to two decimal places. (4 marks)
Show Worked Solution
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d.
♦♦♦ Mean mark part (d) 16%.
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f.
♦♦♦ Mean mark part (f) 18%.
