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Assignment #1 [12 marks equivalent to 6%] Two functions are given as f(x) = x* + 8x3 + 16x? and g(x) = 5 -4x2 -

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Assignment #1 [12 marks equivalent to 6%] Two functions are given as f(x) = x* + 8x3 + 16x? and g(x) = 5 -4x2 - 16x. a) Using a graphing software, plot the curves of f(x) and g(x). [2] b) Using algebraic methods find all points of intersection of the graphs of f(x) and g(x). [8] c) Which of the solutions in part (b) above is reflected on the graph in part (a) above? [2] Assignment #2 [8 marks equivalent to 4%] Plot/Sketch the following on the same Argand diagram. a) z=5 b) z= -61 ENCE c) z=-4+1 d) |z- 1+1|

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