Solve Optimization Problems

We saw how to solve one kind of optimization problem in the Absolute Extrema section where we found the largest and smallest value that a function would take on an interval.

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Are there are tips / tricks you could show me to help me get through this unit? Then you should figure out how to reduce this formula to only 1 variable, in this case, x, using constraints that are given to you.

a) Consider the equation for the volume of a box with a square base of area x^2, Volume = x^2 * height. Now, considering optimization problems in a first year calculus course, I believe you can approach most similarly. Then take the derivative of the function you are trying to optimize and solve for 0.

I don’t really have a clue where to begin with them.

This question is an example of the types of problems I’m working with in class.

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Essay I Live Selected Where - Solve Optimization Problems

Content Header .feed_item_answer_user.js-wf-loaded . From here you can solve for the height of the box in terms of x. Once you figure out what this variable is, go back and plug it into your given constrains.b) After you find an equation for height in terms of x, to find the surface area, you just need to find the sum of each face's area. You'll likely find that you can solve for a different variable explicitly.Once you’ve got that identified the quantity to be optimized should be fairly simple to get.It is however easy to confuse the two if you just skim the problem so make sure you carefully read the problem first!One of the main reasons for this is that a subtle change of wording can completely change the problem.There is also the problem of identifying the quantity that we’ll be optimizing and the quantity that is the constraint and writing down equations for each.The first step in all of these problems should be to very carefully read the problem.Once you’ve done that the next step is to identify the quantity to be optimized and the constraint.We have 500 feet of fencing material and a building is on one side of the field and so won’t need any fencing.Determine the dimensions of the field that will enclose the largest area.


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