Question: 3) Determine the intervals of increase and decrease for the function / (x) - 2cosx + ,/3x on the domain 03x32x. (4 - 6 marks)

 3) Determine the intervals of increase and decrease for the function

3) Determine the intervals of increase and decrease for the function / (x) - 2cosx + ,/3x on the domain 03x32x. (4 - 6 marks) 4) Determine, to the nearest hundredth, the coordinates of all local maximum and local minimum points for the function /(x) - -. For each point, be sure to state whether it is a maximum or minimum that occurs. (4 - 6 marks) 5) A certain population of squirrels is represented by the function P() - 3re ', where P is the number of squirrels, in hundreds, after r weeks. a) After how many weeks is the number of squirrels a maximum? (Be sure to show your check for a maximum). (J - 5 marks) b) Determine the maximum number of squirrels in this population. (1 - ] mark) 5) Determine the equation of the tangent to the curve y - tan 2x -4 tanx at the point where X- x . Give your answer in exact form. (J - 6 marks)

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