[PDF] GCE AS and A Level MATHEMATICS FORMULA BOOKLET



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A Guide to Equations and Inequalities

equation Learners must be careful with their signs when taking terms from one side of the equation to the other Remind them that when you divide by a negative the signs, of all terms will change Also try the games suggested in the resources sections to remind learners that Maths can be fun



GCE AS and A Level MATHEMATICS FORMULA BOOKLET

The equation of a plane in Cartesian form is n x n y n z k 1 2 3 The perpendicular distance between two skew lines isa ( ) D b a n n, where and b are position vectors of points on each line and n is a mutual perpendicular to both lines The perpendicular distance between a point and a line is 11 22 ax by c D ab , where the



Differential Equations I

A differential equation (de) is an equation involving a function and its deriva-tives Differential equations are called partial differential equations (pde) or or-dinary differential equations (ode) according to whether or not they contain partial derivatives The order of a differential equation is the highest order derivative occurring



Solving Differential Equations - Naiker Maths

differential equation t V d d = 20 – kV, where k is a positive constant (2) The container is initially empty (b) By solving the differential equation, show that V = A + Be–kt, giving the values of A and B in terms of k (6) Given also that = 10 when t = 5, (c) find the volume of liquid in the container at 10 s after the start (5)



PARTIAL DIFFERENTIAL EQUATIONS

The linear equation (1 9) is called homogeneous linear PDE, while the equation Lu= g(x;y) (1 11) is called inhomogeneous linear equation Notice that if uh is a solution to the homogeneous equation (1 9), and upis a particular solution to the inhomogeneous equation (1 11), then uh+upis also a solution to the inhomogeneous equation (1 11) Indeed



Formulae for A‑level Mathematics

Formulae for A‑level Mathematics AS Mathematics (7356) A‑level Mathematics (7357) v1 2 First issued August 2017 For the new specifications for first teaching from September 2017



58 Resonance - Math

The notion of pure resonance in the differential equation x′′(t) +ω2 (1) 0 x(t) = F0 cos(ωt) is the existence of a solution that is unbounded as t → ∞ We already know (page 224) that for ω 6= ω0, the general solution of (1) is the sum of two harmonic oscillations, hence it is bounded Equation (1) for



Parametric Equations - Edexcel Past Exam Questions - Maths

Find a cartesian equation of the curve in the form y = f(x) State the domain on which the curve is defined (4) June 05 Q6(edited) 2 Figure 2 The curve shown in Figure 2 has parametric equations x = t – 2 sin t, y = 1 – 2 cos t, 0 £ t £ 2p Show that the curve crosses the x-axis where t = and t = (2) Jan 06 Q8(edited) 2 p 3 p 3 5p O R x y

[PDF] Maths: Equation ? deux inconnues

[PDF] Maths: ETUDES DE FONCTIONS

[PDF] MATHS: EXERCICE F1 ET F2 pour demain

[PDF] Maths: Exercice Second degré

[PDF] Maths: Exercices probabilité

[PDF] Maths: F(X) ou F(0)

[PDF] maths: fonctions

[PDF] Maths: Fonctions/Triangle rectangle

[PDF] Maths: Inéquations produits

[PDF] Maths: LA COURBE REPRESENTATIVE

[PDF] maths: la fonction

[PDF] Maths: les équations

[PDF] Maths: les équations

[PDF] MATHS: petit exercice où il faut bien citer les propriétées (rectangle,

[PDF] Maths: Racine Carré