Question

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(1 point) Book Problem 27 Consider the function f(x) = 3 cosx - cos x for 0 <x<2. For the following questions, write inf for co, -inf for – , U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist. a.) The x-intercepts are b.) f'(x) = c.) f(x) is increasing on the interval(s) d.)f(x) is decreasing on the interval(s) e.)f(x) has a local maximum at x = f.)f(x) has a local minimum at x = 9.)f"(x) = h.)f(x) is concave up on the interval(s) i.)f(x) is concave down on the interval(s) j.) The x-coordinate of the points of inflection are

Answer 1

460 3 Cosa-cost O Cu (27 the x-intercepts are - í 3* 2 f'X) = - 3 sina + 3 cos²x sinn © flag increasing (25) 1 @ flm, decreding on 10,*) 7 None e f(x) has local maximum at f(x) has local minimum f a T ⓇO f"(*) 3 cosa of 3 cos² na 3 sinn sinza 6 fras con came up on 1,") ulti) 2 f(*) Con care down on - |(9, ?)'(<, 2) coordinate of inflection poine = 7 / 3.A 2