Question
Asked Oct 16, 2019
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(1 point) Find the absolute maximum and absolute minimum of
g() t4-i
on the interval [0.7,3.7]
Enter DNE if the absolute maximum or minimum does not exist.
The absolute max occurs at t =
The absolute min occurs at t =
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(1 point) Find the absolute maximum and absolute minimum of g() t4-i on the interval [0.7,3.7] Enter DNE if the absolute maximum or minimum does not exist. The absolute max occurs at t = The absolute min occurs at t =

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Expert Answer

Step 1

Consider the given function:

g(t)t4-i
te[0]
.7,3.7
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g(t)t4-i te[0] .7,3.7

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Step 2

In order to find the maxima or minima we need to differentiate the function as follows:

g(t) t4-i
-1
g '(t)t
4-t
2/4-t
for maxima or minima => g'(t)=0
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g(t) t4-i -1 g '(t)t 4-t 2/4-t for maxima or minima => g'(t)=0

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Step 3

Further solv...

-1
4-t0
2/4-t
4-t
;8-2t =t
2/4-t
8
t =
3
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-1 4-t0 2/4-t 4-t ;8-2t =t 2/4-t 8 t = 3

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Tagged in

Math

Calculus