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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.
we know that derivative of x 2 =2x. now we can write x 2 as x+x+x....(x times) then if we take defferentiation we get 1+1+1+.....(x times) now adding we get x . then which is wro
Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2 x 2 ' = 3x 1 + 2x 2
assuming that the earth''s sphere with a radius of 6400 km.. find the distance along a 3 degree arc at the equator of the earth''s surface?
Cross Product In this last section we will look at the cross product of two vectors. We must note that the cross product needs both of the vectors to be three dimensional (3D
Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d
Consider two bags, A and B, with the following contents Bag A Bag B 3 white marbles 4 white marbles 2 red marbles
square root of 78269
If three times the larger of the two numbers is divided by the smaller, then the quotient is 4 and remainder is 5. If 6 times the smaller is divided by the larger, the quotient is
a piece of ribbon measures 2,25 meters . it is cut in half . how long is one half of the ribbon
Determine if the following sequences are monotonic and/or bounded. (a) {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0
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