Edexcel Core Mathematics C3 June 2009
More videos, activities and worksheets that are suitable for A Level Maths
Questions and Video Solutions for C3 Edexcel Core Mathematics June 2009
Edexcel Core Mathematics C3 June 2009 Past Paper
C3 Mathematics Edexcel June 2009 Question 1
Figure 1 shows part of the curve with equation y = -x3 + 2x2 + 2, which intersects the x-axis at the point A where x = α.To find an approximation to α, the iterative formula
xn+1 = 2/(xn)2 + 2
is used.
(a) Taking x0= 2.5, find the values of x1, x2, x3 and x4
Give your answers to 3 decimal places where appropriate.
(b) Show that α = 2.359 correct to 3 decimal places.
C3 Mathematics Edexcel June 2009 Question 2
2. (a) Use the identity cos2 θ + sin2 θ = 1 to prove that tan2 θ = sec2 θ – 1.
(b) Solve, for 0 ≤ θ < 360°, the equation
2 tan2 θ + 4 sec θ + sec2 θ = 2
C3 Mathematics Edexcel June 2009 Question 3
3. Rabbits were introduced onto an island. The number of rabbits, P, t years after they were
introduced is modelled by the equation
P = 80e1/3t, t ∈ ℝ, t ≥ 0
(a) Write down the number of rabbits that were introduced to the island.
(b) Find the number of years it would take for the number of rabbits to first exceed
1000.
(c) Find dP/dt
(d) Find P when dP/dt 50.
C3 Mathematics Edexcel June 2009 Question 4
4. (i) Differentiate with respect to x
(a) x2 cos 3x
(b) ln(x2 + 1)/(x2 + 1)
(ii) A curve C has the equation
y = √(4x + 1), x > -¼ , y > 0
The point P on the curve has x-coordinate 2. Find an equation of the tangent to C at
P in the form ax + by + c = 0, where a, b and c are integers.
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
Penguin Solitaire
Penguin Solitaire is a fun game that aims to move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.