Q3 (a) Use the Fundamental Theorem of Calculus to evaluate si cost dt. 5 (b) Consider the function y = f(x) = (1-3)(+ x

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Q3 A Use The Fundamental Theorem Of Calculus To Evaluate Si Cost Dt 5 B Consider The Function Y F X 1 3 X 1 (33.73 KiB) Viewed 46 times

Q3 (a) Use the Fundamental Theorem of Calculus to evaluate si cost dt. 5 (b) Consider the function y = f(x) = (1-3)(+ x - 2). (i) Find the roots of f(x). (ii) Find the y-intercept of f(x). (iii) Find the first derivative of f(:). (iv) Find the critical points of f(x). (v) Find the second derivative of f(a). (vi) Classify all local maximum and minimum points of f(x). (vii) Find the point(s) of inflection of f(x). (viii) Sketch the graph of y = f(x) = (x - 3)(r² + x - 2), labelling the various points found above. 1