(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 Integration(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 3Use 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
dy/dx = 3/(y cos2 x)
C4 Edexcel Core Mathematics June 2012 Question 5(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 QuestionsTry out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.