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
Answer:
m >
Step-by-step explanation:
-3m + 3 < 8m - 7
-3m - 8m < -3 - 7
-11m < -10
m >
Answer:
$24/5 weeks = $4.80 saved per week.
$4.80 is 30% of what number?.....
4.8=0.3*X....... 4.8/0.3=X ........X=16
So, Joseph receives $16 per week.
Step-by-step explanation:
Answer:
(4,1), (4,2) pairs can be removed to make relation a function.
Step-by-step explanation:
Function states the relationship of ordered pairs where set A must have unique elements.