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Questions and Video Solutions for C4 Edexcel Core Mathematics June 2010
Edexcel Core Mathematics C4 June 2010 Past Paper
Given that l1 and l2 meet at the point C, find
(a) the coordinates of C.
The point A is the point on l1 where λ = 0 and the point B is the point on l2 where μ = –1.
(b) Find the size of the angle ACB. Give your answer in degrees to 2 decimal places.
(c) Hence, or otherwise, find the area of the triangle ABC.
Figure 2 shows a cylindrical water tank. The diameter of a circular cross-section of the tank is 6 m. Water is flowing into the tank at a constant rate of 0.48πm3min-1. At time t minutes, the depth of the water in the tank is h metres. There is a tap at a point T at the bottom of the tank. When the tap is open, water leaves the tank at a rate of 0.6πh m3min-1.
(a) Show that t minutes after the tap has been opened
75 dh/dt = (4 - 5h)
When t = 0, h = 0.2
(b) Find the value of t when h = 0.5
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