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:
-3.2, -3.4, -3.6, -3.8, -3.9
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.
So rational numbers between -3 and -4 are,
-3.2, -3.4, -3.6, -3.8, -3.9
<em>Hope this helps :)</em>
Simple...
when they ask for the rate of change they ask for
slope -->>
Using
to find the rate of change for (-3,0) and (-2,-5)
m=-5
Thus, your answer.
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem:
- <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.
-Madison is 5 feet tall.
2. Therefore, you have:
Sin</span>α=opposite/hypotenuse
<span>
Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft
3. Now, you can calculate the height of the Statue of Liberty, as below:
height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft
4. Therefore, as you can see, the answer is: 62.13 ft
</span>
