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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 cos^{2} θ – 3 sin^{2} θ

(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 l_{1} and l_{2} meet at the point C, find

(a) the coordinates of C.

The point A is the point on l_{1} where λ = 0 and the point B is the point on l_{2} 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 0.48πm^{3}min^{-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 m^{3}min^{-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

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

(a) Show that f(θ) = 1/2 + 7/2 Cos 2θ

(b) Hence, using calculus, find the exact value of ∫ θf(θ) dθ

(a) the coordinates of C.

The point A is the point on l

(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.

(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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