Edexcel Core Mathematics C1 January 2010

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Edexcel GCE Core Mathematics C2 January 2010
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Core 1 Mathematics Edexcel January 2010 Question 1

1. Given that y = x⁴ + x^1/3 + 3 , find dy/dx.

Core 1 Mathematics Edexcel January 2010 Question 2
(a) Expand and simplify (7 + √5)(3 – √5).
(b) Express (7 + √5)/(3 – √5) in the form a + b√5, where a and b are integers.

Core 1 Mathematics Edexcel January 2010 Question 3
3. The line 1_l has equation 3x + 5y − 2 = 0
(a) Find the gradient of 1_l .
The line l₂ is perpendicular to 1_l and passes through the point (3, 1).
(b) Find the equation of l₂ in the form y = mx + c, where m and c are constants.

Core 1 Mathematics Edexcel January 2010 Question 4
dy/dx = 5x^-1/2 + x√x, x > 0
Given that y = 35 at x = 4, find y in terms of x, giving each term in its simplest form.

Core 1 Mathematics Edexcel January 2010 Question 5
Solve the simultaneous equations
y - 3x + 2 = 0
y² - x - 6x² = 0

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