/Tag: Extension
8 02, 2017

Zeroes & Multiplicity

By |2019-04-25T07:53:53+10:00February 8th, 2017|Tags: , , |0 Comments

Zeroes/Roots & Multiplicity Go to the Forum to see more questions or ask your own Formulas Used in Roots & Multiplicity zeroes, are the roots, or solutions to the equation P(x) Number of Roots The maximum number of roots a Polynomial can have is equal to the degree of that polynomial [...]

22 12, 2016

Inverse Differentials

By |2016-12-22T12:24:14+10:00December 22nd, 2016|Tags: , , |0 Comments

Inverse Differentials $$\frac{dx}{dy}\times\frac{dy}{dx}=1$$ worked examples For the function y = 2x + 4, find: a. the inverse function b. $$\frac{dy}{dx}$$ of the inverse function c. $$\frac{dx}{dy}$$ of the inverse function d. Show that $$\frac{dx}{dy}\times\frac{dy}{dx}=1$$ a. x = 2y + 4 x - 4 = 2y f-1: y = ½x - 2 rewrite [...]

25 11, 2016

Cyclic Quadrilaterals

By |2016-11-25T16:02:03+10:00November 25th, 2016|Tags: , , , |0 Comments

Cyclic Quadrilaterals opposite angles of a cyclic quadrilateral are equal   In the diagram, 0 is the centre of the circle and AB║AD and BC meet at P. Prove: a. CP = DP b. DABP is isosceles c. OAPC is a cyclic quadrilateral. a. ∠PCD = ∠ABC     (corresponding [...]

24 11, 2016

Standard Integrals

By |2016-11-24T11:16:34+10:00November 24th, 2016|Tags: , , |0 Comments

Standard Integrals $$\int {\sec \,ax\,\tan \,x\,dx\, = \frac{1}{a}\sec \,ax\, + \,c}$$ $$\int {\frac{1}{{\sqrt {{x^2} - {a^2}} }}\,dx = \ln \left( {x + \sqrt {{x^2} - {a^2}} } \right) + c} $$ $$\int {\frac{1}{{\sqrt {{x^2} + {a^2}} }}\,dx = \ln \left( {x + \sqrt {{x^2} + {a^2}} } \right) + [...]

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