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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

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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