Question

What is a sample extrema problem?

Answer 1

Extrema are the maximum and minimum values for a given range, and can be described as relative (pertaining to a local neighborhood) or absolute (pertaining to the whole set of possible values).

Some example problems for you to practice are:

Given the constraint `z=−x+5y`, how do you find the maximum and minimum values for `x+3y≤0, x−y≥0, 3x−7y≤16`?
See the answer

What is the maximum value that the graph of `y=cosx` assumes?
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How do I find the maximum and minimum values of the function `f(x)=x−2sin(x)` on the interval `[−π4,π2]`?
See the answer

How do you find the absolute maximum and minimum values of f on the given interval? `f(x)=2x3−3x2−12x=1,[−2,3]`
See the answer