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Every assignment must be typed and a sufficient amount of work shown. Use correct calculus notation. Graphs must be done electronically (I do not want hand drawn graphs.) Directions for graphing using excel are available in blackboard.

where x ∈ [−2, 3]. (a) What is f 0 (x)? [1] (b) What is f 00(x)? [1] (c) Find all the stationary points of f. Find the value of f(x) at each stationary point. [2] (d) For each stationary point of f, find whether it is a local minimum, a local maximum or neither. [2] (e) Find all the global minima and maxima of f in the interval [−2, 3]. [2] 2. Let M = 1 6 1 0 (a) Find the eigenvalues of M. [3] (b) Find one eigenvector of M with respect to each eigenvalue. [3]

We live in an age of modern technology. Hence, we are memorizing multiplication facts or working calculation out as pencil and paper has become out of date and waste of time. Students learning of mathematical processes, concepts, operations and procedures are advanced as calculators are used for an instructive purpose that goes beyond drill, practice or checking work

CSR Enterprises is evaluating its financing requirements for the coming year. The firm has only been in business for 1 year, but its CFO predicts that the firm's operating expenses, current assets, net fixed assets, and current liabilities will remain at their current proportion of sales. Last year CSR had $12 million in sales with net income of $1.2 million. The firm anticipates that next year's sales will reach $16 million with net income rising to $3 million.