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 zt =523 +3z+6 @)= 22 + 1 Use Maxima to do each of parts (a)-(d). (a) Plot the graph of f, choosing ranges of values on the z- and y-axes to make its intercepts with the coordinate axes and all three of its stationary points clearly visible. (b) Find the derivative of f. (c) Calculate the z- and y-coordinates of the local minimum of f that has a negative x-coordinate, giving your answers to three decimal places. (d) Calculate the value of where the graph first crosses the z-axis to the right of z = 0. Find the area enclosed by the graph of f and the z-axis, between this value and x = 0, giving your answer to three decimal places. T~