Answer:
(a) The critical points of f are x=0 and x=3.
(b)f is decreasing on
and f is decreasing on
.
(c) Therefore the local minimum of f is at x=3
Step-by-step explanation:
Given function is

(a)
To find the critical point set f'(x)=0


The critical points of f are 0,3.
(b)
The interval are
and
.
To find the increasing or decreasing, taking two points one point from the interval (0,3) and another point
.
Assume 1 and 4.
Now 
and 
Since 1∈
, f'(x)<0 and 4∈
, f'(x)>0
∴f is decreasing on
and f is decreasing on
.
(c)

Differentiating with respect to x

Now

and


Since f''(x)>0 at x=3
Therefore the local minimum of f is at x=3
Step-by-step explanation:
the answer is in the image above
Answer:
I cannot see it
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The length is 12, and the height is 6
A = 1/2 * b*h
So area = 1/2 * 72 = 36
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-Chetan K
Protons is the answer that makes the most sense