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Consider the function f(x) = x2 - 2x - 1.
(a) Factorise f(x) exactly.
(b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-axes.
(c) Graph y = f(x), marking on your diagram any points where the curve cuts the x and y axes.
Laws of Set Algebra From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as: i. A υ Ø = A ii. A υ T = T
19 times 5
Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2
Truth Criteria : Consider the following statements: i) Peahens (i.e., female peacocks) lay eggs around September. ii) Water boils at 100°C. iii) 5 divides 15 without lea
In the prior section we looked at Bernoulli Equations and noticed that in order to solve them we required to use the substitution v = y 1-n . By using this substitution we were cap
From a fixed point directly in front of the center of a bull's eye, Kim aims two arrows at the bull's eye. The first arrow nicks one point on the edge of the bull's eye; the second
OPERATION RESEARCH ABSTRACT
Higher-Order Derivatives It can be seen that the derivative of a function is also a function. Considering f'x as a function of x, we can take the derivative
(x^2)y-(y^2)x
alternate segment theorum
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