So I'm assuming that you're taking Calculus.
The first thing you want to do is take the integral of f(x)...
Use the power rule to get:
4X^2-13X+3.
Now solve for X when f(x)=0. This is because when the slope is 0, it is either a minimum or a maximum(I'm assuming you know this)
Now you get X=0.25 and X=3. Since we are working in the interval of (1,4), we can ignore 0.25
Thus our potential X values for max and min are X=1,X=4,X=3(You don't want to forget the ends of the bounds!)
Plugging these value in for f(x), we get
f(1)=2.833
f(3)=-8.5
f(4)=1.667
Thus X=1 is the max and X=3 is the min.
So max:(1,2.833)
min:(3,-8.5)
Hope this helps!
Answer:
1,000 ft³
Step-by-step explanation:
The volume is given by ...
V = Bh
where B is the area of the base, and h is the height. For the given dimensions, the volume is ...
V = (200 ft²)(5 ft) = 1000 ft³
Answer:
0.8 is your answer
Step-by-step explanation:
Answer:
Percentage=33.33%
Step-by-step explanation:
Total number of students=Number of 8th grader+others who went on trip
where;
Total number of students=60
Number of 8th graders=20
Others who went on trip=x
replacing;
60=20+x
x=(60-20)
x=40
Others who went on trip=x=40
Ratio of number of eighth graders to the number of everyone who went on the trip is;
Eighth graders who went=20 students
Everyone who went including the eighth graders=60
20/60==1/3
(1/3)×100=33.33%
Percentage=33.33%
<h3><u>
Answer:</u></h3>
Hence, the value of z is:
20
<h3><u>
Step-by-step explanation:</u></h3>
The point C is the mid point of the line segment VW.
That is it divides the line segment VW into two equal segments.
i.e. Length of segment VC= Length of line segment CW.
Also we are given that:
Length VW=61
Length VC=z+13
and Length CW=z+8
This means that:
VC+CW=VW
i.e. z+13+z+8=61
⇒ 2z+21=61
⇒ 2z=61-21
⇒ 2z=40
⇒ z=20
Hence the value of z is:
20
