Write the first six cube if natural number
2 answers:
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Answer:
Maximum at points (8,0),(-8,0).Minimum at points (0,8), (0,-8).
Step-by-step explanation:
There are multiple ways of using lagrange multipliers. Most of them are equivalent.
Consider the function . We want the following
.
Then, we have
From the first two equations, we can see that if then necessarily y=0. IN that case, from the third equation (which is the restriction) gives us that
.
On the other hand, if then necessarily x=0. Again, using the restriction this gives us that
.
if we evaluate the original function in this points, we have that . Then, we have Maximum at points (8,0),(-8,0) and Minimum at points (0,8), (0,-8).