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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.
Differentiate following. f ( x ) = sin (3x 2 + x ) Solution It looks as the outside function is the sine & the inside function is 3x 2 +x. The derivative is then.
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In polynomials you have seen expressions of the form x 2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we cal
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How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into
What is Exponents values? Exponents were invented as a quick way to show that you are multiplying a number by itself several times. It's too much trouble to write something
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