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: 7 is the distance in between the points
Step-by-step explanation: How you find the distance between points is pretty simple once you know how to do it!
So first take your X coordinate take the first one (8) and subtract it from the second one (4) 8-4=4 so now we have 4 put that aside for a moment,
Now take your Y coordinate subtract the first one (10) from the second one (7), 10-7=3
Finally add the 3 and 4 together you get 7 that is why 7 is the distance in between the points
If you need further help or instruction please let me know!
The series of transformations that map triangle ABC onto triangle DEF to prove ABC≅DEF is to translation 3 units <span>right then a reflection across x-axis.</span>
Answer:
n ≥ 29
She needs to do more than 29 pushups on the sixth day.
Step-by-step explanation:
First, we need to use the formula for finding the average. We currently have numbers for the first 5 days.
(22+26+21+25+27+n)/6 = 25
Multiply both sides by 6.
25*6 = 150
150-27-25-21-26-22=x
x=29
Since it is an inequality, Sarah needs to do more than 29 pushups on the sixth day.
Answer:
f=ab/a+b
Step-by-step explanation:
Let's solve for f.
1/f=1/a+1/b
