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? See the answer
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
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Answer 2

A sample extrema problem is a type of mathematical problem that involves finding the maximum or minimum value of a function within a given domain. These problems typically require you to analyze the behavior of a function and determine where it achieves its highest or lowest value. This can involve techniques such as finding critical points, using the first or second derivative test, or considering the behavior of the function at the endpoints of the given domain. The goal is to identify the points at which the function reaches its extreme values, whether they are maximums or minimums, and to determine the corresponding input values at which these extreme values occur.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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