Question 7 10 marks You should be able to answer this question after studying Unit 8. Include a printout or screenshot o

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Question 7 10 Marks You Should Be Able To Answer This Question After Studying Unit 8 Include A Printout Or Screenshot O 1 (240.27 KiB) Viewed 57 times

Question 7 10 marks You should be able to answer this question after studying Unit 8. Include a printout or screenshot of your Maxima worksheet for this question. You are not expected to annotate your Maxima worksheet with explanation. However, remember that for good mathematical communication you should present your answers clearly. This question is about the function -x6 - 5x³ + 5x x² +2 Use Maxima to do each of parts (a)-(d). (In parts (c) and (d) you should round your answers to three decimal places yourself, instead of using Maxima to do this.) f(x)= = (a) Plot the graph of f, choosing ranges of values on the x- and y-axes to make all three of its stationary points clearly visible. (b) Find the derivative of f. (c) Calculate the x- and y-coordinates of the local maximum of f that has a positive x-coordinate, giving your answers to three decimal places. (d) The graph of f crosses the x-axis at x = 0. Calculate the value of x where the graph first crosses the x-axis to the right of x = 0. Find the area enclosed by the graph of f and the x-axis between x = 0 and this value, giving your answer to three decimal places. [3] [1] [3] [3]