Edexcel Core Mathematics C1 January 2012 Past Paper
Core 1 Mathematics Edexcel January 2012 Question 7
A curve with equation y = f(x) passes through the point (2, 10). Given that
f'(x) = 3x2 -3x + 5
find the value of f(1).
(a) Find dy/dx
(b) Sketch C1 , showing the coordinates of the points where C1 meets the x-axis.
(c) Find the gradient of C1 at each point where C1 meets the x-axis.
where k is a constant and k > 2
(d) Sketch C2 , showing the coordinates of the points where C2 meets the x and y axes.
Scheme 2: Salary in Year 1 is £(P + 1800).
Salary increases by £T each year, forming an arithmetic sequence.
(a) Show that the total earned under Salary Scheme 1 for the 10-year period is £(10P + 90T).
y = 2 - 1/x , x ≠ 0
The curve crosses the x-axis at the point A.
(a) Find the coordinates of A.
(b) Show that the equation of the normal to C at A can be written as 2x + 8y - 1 = 0
The normal to C at A meets C again at the point B, as shown in Figure 2.
(c) Find the coordinates of B.
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