(6) Find the absolute minimum and maximum of f(x) = x² - 2x¹ on the interval (0,1). (A) There is no absolute minimum or maximum on the interval (B) There is no absolute minimum but fmax = at x = = 1/2 (C) fmin = -1 at x = 1 and fmax = at x = (D) fmin=0 at x = 0 and fmax = 21/12 at x = =1/12 (7) Let f(x)=√4-x2 be a function. For what value of x in the closed interval [-2, 0] does the instantaneous rates of change of f equal the average rate of change of f over that interval? (A) 0 (B) - 1 (C) -√2 (D) -√3 The position function for a particle moving along a line is s(t) = t³-t²-5t + 9, t≥ 0, i meters and t in seconds. For which of the values of t is the particle at rest? (A) t =s and -1s (B) t=1s (C) t = -s and 1 s (D) t = t = 1/3 s Given that f(x) = sin² x - cos x on the closed interval [0, 7], find the absolute maximus minimum value and and state where those values occur.

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