# What is the maximum value that the graph of #z=10-12w-2w^2#?

maximum value:

Given

The vertex will occur at the point where

and since the coefficient of

In this case

so the maximum will occur when

and

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To find the maximum value of the function z = 10 - 12w - 2w^2, you need to complete the square for the quadratic term -2w^2 - 12w.

First, rewrite the function in the form z = a(w - h)^2 + k.

Next, determine the values of h and k by completing the square.

Then, identify the value of k, which represents the maximum value of the function.

The maximum value occurs when w = h, and z = k.

After completing the square and simplifying, the maximum value of the function will be found.

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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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