The Lagrangian is
with partial derivatives (all set equal to 0)
for , and
Substituting each into the second sum gives
Then we get two critical points,
or
At these points we get a value of , i.e. a maximum value of
and a minimum value of
.
5 lbs 4 oz - 12 oz =?
1 answer:
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The domain and range of the function are:
<h3>How to determine the domain of the function?</h3>In this exercise, you're given the following function f(x) = 5ˣ ⁻ ³ + 1. Next, we would equate the function to zero (0) to determine its domain as follows:
0 = 5ˣ ⁻ ³ + 1.
-1 = 5ˣ ⁻ ³
-(5⁰) = 5ˣ ⁻ ³
-0 = x - 3
x = 3.
Therefore, the domain are all real numbers and they can be substituted for x to return a valid f(x) value.
From the graph of the given function (5ˣ ⁻ ³ + 1), we can logically deduce that the range comprises all real numbers that are greater than 1.
Read more on domain here: brainly.com/question/17003159
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