1. Determine the absolute minimum and maximum values of the
function f(x) = x^3 - 6x^2 + 9x + 1 in the following
intervals:
a) [0,5]
b) [-1,2]
2. A company produces and sells x number of calculators per
week. The functions for demand and cost are the following:
p = 500 - 0.5x and c(x) = 10,000 + 135x.
Determine:
a) Function of weekly revenue
b) Price and number of calculators that have to be sold to
maximize revenue...
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