More videos, activities and worksheets that are suitable for A Level Maths
Questions and Video Solutions for C4 Edexcel Core Mathematics June 2010
Edexcel Core Mathematics C4 June 2010 Past Paper
C4 Mathematics Edexcel June 2010 Question 6
6. f(θ) = 4 cos2
θ – 3 sin2
(a) Show that f(θ) = 1/2 + 7/2 Cos 2θ
(b) Hence, using calculus, find the exact value of ∫ θf(θ) dθ
C4 Mathematics Edexcel June 2010 Question 7
Given that l1
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.
C4 Mathematics Edexcel June 2010 Question 8
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 0.48πm3
. 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 m3
(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
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.