The graph of
Use two trapeziums of equal width to approximate the area between the curve, the
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Use two applications of the trapezoidal rule to find an approximate value of
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A particle moves in a straight line, starting at the origin. Its velocity,
The diagram shows the graph of the velocity against time.
Using the Trapezoidal Rule with three function values, estimate the position of the particle when it first comes to rest. Give your answer correct to two decimal places. (3 marks)
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The diagram shows the front of a tent supported by three vertical poles. The poles are 1.2 m apart. The height of each outer pole is 1.5 m, and the height of the middle pole is 1.8 m. The roof hangs between the poles.
The front of the tent has area
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The shaded region is enclosed by the curve
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The point
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At a certain location a river is 12 metres wide. At this location the depth of the river, in metres, has been measured at 3 metre intervals. The cross-section is shown below.
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