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In: Math

Find the net change of ?(?) = (? − 2)(? + 3) on the interval [-1,...

  1. Find the net change of ?(?) = (? − 2)(? + 3) on the interval [-1, 1].
  2. Find the net change of ?(?) = 6 cos ? on the interval [? /2, ?/2].
  3. Find the total area between ?(?) = ?3 − 2?2 and the x-axis on the interval [0, 5].
  4. A ball is thrown upward from a height of 5 feet at an initial speed of 72 ft/sec. Acceleration resulting from gravity is -32 ft/sec2. Neglecting air resistance, find each of the following.
    1. The velocity function v(t).
    1. The total distance traveled by the ball in the first 3 seconds.
    1. The height of the ball, h(t), after t seconds.
    1. The time when the ball hits the ground Round to one decimal place.

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