SC1102 Modelling Natural Systems Assignment

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SC1102 Modelling Natural Systems - James Cook University

Question 1:

Consider the equation: y=f(x)=2x-4x²

(a) Compute f(1) [2]

(b) Using excel produce a graph of y=2x-4x² [2]

(c) What values of x, give a y-value of zero? [2] [HINT: There are actually two values of x, you may need to adjust your excel axes to see these]

(d) What is the largest y value? [1]

(e) What x value corresponds to the largest value of y? [1]

(f) What do you notice about the position of the x-value computed in part (e), relative to the x-value(s) computed in part (c)

Compute your answers either mathematically (e.g. using calculus techniques) or use excel to assist with your calculations.

Reference no: EM132592970

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