Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 5x + 8, [0, 3]
absolute minimum value
absolute maximum value
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = 4x3 −
6x2 − 144x +
5,
[−4, 5]
absolute minimum
absolute maximum
Plot the function without using a calculator, as you will not
have a calculator on the exams.
a. ? = 34 sin ?, from t = 0 to the end of the first cycle
only.
b. ? = 2sin3?, from t = 0 to the end of the second cycle only.
c. ? = 2cos3?, from t = 0 to the end of the second cycle only. d. ?
= 2sin??, from t = 0 to the end of the...
Find all local extreme values of the given function and identify
each as a local maximum, local minimum, or saddle point of the next
functions.
1) f(x, y) = e-(x2 + y2 - 16x)
2) f(x, y) = x2 + 100 - 20x cos y; -π < y <
π
For each function given below, find the open intervals of
increase/decrease, all local extreme values, the intervals of
concavity, and inflection points.
(a) f(x) = x^2 + 2/x
(b) f(x) = xe^-x
Find the absolute maximum and minimum, if either exists, for
the function on the indicated interval. f(x)=x^4+4x^3-7 (A) [-2,2]
(B) [-4,0] (C) [-2,1]