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Math Help - absolute and local maximum and minimum

  1. #1
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    absolute and local maximum and minimum

    find the absolute and local maximum and minimum values of f.

    f(t) = 5cos(t)
    -pi/2 ≤ t ≤ 3pi/2

    i have no clue how to solve this because cos(-π/2) and cos(3π/2) equal 0 but the answer isn't zero.
    Last edited by break; November 18th 2009 at 02:25 PM.
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  2. #2
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    Quote Originally Posted by break View Post
    find the absolute and local maximum and minimum values of f.

    f(t) = 5cos(t)
    -pi/2 ≤ t ≤ 3pi/2

    i have no clue how to solve this because cos(-π/2) and cos(3π/2) equal 0 but the answer isn't zero.
    absolute extrema don't always occur at endpoints.

    based on your prior knowledge of trig alone (w/o calculus), you should be able to sketch the relatively simple graph of f(t).

    based on that sketch, the absolute max for f(t) is f(0) = 5, and the absolute min is f(\pi) = -5
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