Edexcel Core Mathematics C2 January 2013
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The following videos will give you the worked solutions and answers for the Edexcel GCE Core Mathematics
C2 January 2013.
Related Pages
Edexcel GCE Core Mathematics C1 January 2013
Edexcel GCE Core Mathematics C2 January 2013
More Lessons for A Level Maths
Edexcel Core Mathematics C2 January 2013 Past Paper
Core 2 Mathematics Edexcel January 2013 Question 6
- Given that
2log2(x + 15) - log2x = 6
(a) Show that
x2 - 34x + 225 = 0
(b) Hence, or otherwise, solve the equation
2log2(x + 15) - log2x = 6
Core 2 Mathematics Edexcel January 2013 Question 7
The triangle XYZ in Figure 1 has XY = 6 cm, YZ = 9 cm, ZX = 4 cm and angle ZXY = α. The point W lies on the line XY.
The circular arc ZW, in Figure 1 is a major arc of the circle with centre X and radius 4 cm.
(a) Show that, to 3 significant figures, α = 2.22 radians.
(b) Find the area, in cm2, of the major sector XZWX.
The region enclosed by the major arc ZW of the circle and the lines WY and YZ is shown shaded in Figure 1.
Calculate
(c) the area of this shaded region,
(d) the perimeter ZWYZ of this shaded region.
Core 2 Mathematics Edexcel January 2013 Question 8
- The curve C has equation y = 6 - 3x - 4/x3, x ≠ 0
(a) Use calculus to show that the curve has a turning point P when x = √ 2
(b) Find the x-coordinate of the other turning point Q on the curve.
(c) Find d2y/dx2
(d) Hence or otherwise, state with justification, the nature of each of these turning points P and Q.
Core 2 Mathematics Edexcel January 2013 Question 9
The finite region R, as shown in Figure 2, is bounded by the x-axis and the curve with
equation
y = 27 - 2x - 9√x - 16/x2 , x > 0
The curve crosses the x-axis at the points (1, 0) and (4, 0).
(a) Complete the table below, by giving your values of y to 3 decimal places.
(b) Use the trapezium rule with all the values in the completed table to find an approximate value for the area of R, giving your answer to 2 decimal places.
(c) Use integration to find the exact value for the area of R.
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