Questions and Worked Video Solutions for C4 Edexcel Core Mathematics January 2011.
A Level Maths - More videos, activities and worksheets for A-Level Maths.
C4 Mathematics Edexcel January 2011 Question 1
Integration by parts
C4 Mathematics Edexcel January 2011 Question 2
Use differentiation to find the value of dI/dt when t = 3.
Give your answer in the form ln a , where a is a constant.
C4 Mathematics Edexcel January 2011 Question 3
(b) Hence find ∫ 5/[(x + 1)(3x + 2)] dx, where x > 1.
(c) Find the particular solution of the differential equation
(x - 1)(3x + 2) dy/dx = 5y, x > 1
for which y = 8 at x = 2 . Give your answer in the form y = f(x).
3(a) Partial Fractions
3(b) Integration (Partial Fractions)
3(c) Differential Equation
C4 Mathematics Edexcel January 2011 Question 4
(a) Find AB.
(b) Find a vector equation of l.
The point C has position vector 2i + pj - 4k with respect to O, where p is a constant.
Given that AC is perpendicular to l, find
(c) the value of p,
(d) the distance AC.
C4 Mathematics Edexcel January 2011 Question 5
(2 - 3x)-2, |x| < 2/3
in ascending powers of x, up to and including the term in x3. Give each coefficient as a simplified fraction.
f(x) = (a + bx)/(2 -3x)2, |x| < 2/3 , where a and b are constants.
In the binomial expansion of f ( ) x , in ascending powers of x, the coefficient of x is 0 and the coefficient of x2 is 9/16. Find
(b) the value of a and the value of b,
(c) the coefficient of x3 , giving your answer as a simplified fraction.
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