calculus

Find the absolute maximum and absolute minimum values of f on the given interval [π/4, 7π/4]. (Round all answers to two decimal places.)
f(t) = t + cot(t/2)

  1. 0
  2. 26
asked by Michael
  1. what's the problem?

    f'(t) = 1 - 1/2 csc^2(t/2)

    2 = csc^2(t/2)
    √2 = csc(t/2)

    csc pi/4,3pi/4 = √2
    t/2 = pi/4 or 3pi/4
    t = pi/2 or 3pi/2

    posted by Steve
  2. Steve, thank you so much.

    When plugging in the t-values to find the f(t)'s, I mistakenly put in the t/2 points.

    You cleared that right up for me. I owe you big time. Karma points.

    posted by Michael

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum =
  2. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum =
  3. Calculus

    Find the absolute maximum and absolute minimum values of the function f(x)=x^3+6x^2-63x+4 on each of the indicated variables. Enter DNE for does not exist. (A) Interval = [-8,0] Absolute maximum = Absolute minimum = (B) Interval =
  4. calculus

    2) Let g(s)= t(4−t)^1/2 on the interval [0,2]. Find the absolute maximum and absolute minimum of g(t) on this interval. Enter DNE if the absolute maximum or minimum does not exist. The absolute max occurs at t= . The absolute
  5. Calculus 1

    Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 16 cos t + 8 sin 2t, [0, π/2]
  6. Calculus Help Please!!!

    Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = (t square root of (64 − t^2)) ,[−1,8]
  7. Calculus

    Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 8 cos t + 4 sin 2t, [0, π/2]
  8. Calculus Help Please!!!

    Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = (t square root of (64 − t^2)), [−1, 8]
  9. Calculus

    Find the absolute minimum and absolute maximum values of f on the interval below. f(x) = x4 - 8x2 + 6 [-3, 4]
  10. Calculus Help Please!!!

    Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x^3 − 3x^2 − 72x + 7 , [−4, 5]
  11. Calculus

    Find the absolute maximum and the absolute minimum values of f(x)=x−7cos(x) on the interval [−ð,ð).

More Similar Questions