Edexcel GCE Core Mathematics C4 Advanced June 2012
More Lessons for A Level Maths
Math Worksheets
Are you looking for A-level Maths help?
The following videos will give you the worked solutions and answers for the Edexcel GCE Core Mathematics C4 Advanced June 2012. Try out the Past paper for Edexcel C4 June 2012 and check out the video solutions if you need any help.
C4 Edexcel Core Mathematics June 2012 Question 1
1. Given
(a) Find the values of the constants A, B and C.
(b) (i) Hence find ∫f(x) dx
(ii) Find
leaving your answer in the form a + ln b, where a and b are constants.
1(a) Identities (Partial Fractions) 1 (b)(i) Indefinite Integration 1 (b)(ii) Definite IntegrationRates of Change
Figure 1 shows a metal cube which is expanding uniformly as it is heated.
At time t seconds, the length of each edge of the cube is x cm, and the volume of the cube is V cm3
(a) Show that dV/dx = 3x2
Given that the volume, V cm3, increases at a constant rate of 0.048 cm3s-1
(b) find dx/dt when x = 8
(c) find the rate of increase of the total surface area of the cube, in cm2
C4 Edexcel Core Mathematics June 2012 Question 3Binomial Expansion
f(x) = 6/√(9 - 4x), |x| < 9/4
(a) Find the binomial expansion of f(x) in ascending powers of x, up to and including the term in x3. Give each coefficient in its simplest form.
Use your answer to part (a) to find the binomial expansion in ascending powers of x, up to and including the term in x3, of
(b) g(x) = 6/√(9 + 4x), |x| < 9/4
(c) h(x) = 6/√(9 - 8x), |x| < 9/8
C4 Edexcel Core Mathematics June 2012 Question 4
Differential Equations 4. Given that y = 2 at x = π/4, solve the differential equation
dy/dx = 3/(y cos2 x)
C4 Edexcel Core Mathematics June 2012 Question 5Implicit Differentiation
5. The curve C has equation 16y3 + 9x2y - 54x = 0
(a) Find dy/dx in terms of x and y.
(b) Find the coordinates of the points on C where dy/dx = 0
5 (b) More QuestionsCheck 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.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.