Answer:
a) The absolute maximum is 401 and the absolute minimum is 9.
b) The absolute maximum is 349 and the absolute minimum is -99.
c) The absolute maximum is 401 and the absolute minimum is -99.
Step-by-step explanation:
The absolute minimum and absolute maximum values are determined with the help of the First and Second Derivative Tests:
FDT
The roots of the function are: and . Each point is evaluated in the second derivative of the function:
SDT
(Absolute minimum)
(Absolute maximum)
The values for each extreme are, respectively:
Now, each interval is analyzed herein:
a) The absolute maximum is 401 and the absolute minimum is 9.
b) The absolute maximum is 349 and the absolute minimum is -99.
c) The absolute maximum is 401 and the absolute minimum is -99.
Height of the water increasing is at rate of
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
<h3>Formula used: </h3>
To Learn more visit:
brainly.com/question/4313883
#SPJ4
He must sell more than $1058. First find the difference and multiply that by 20 (100/5) to find the necessary amount.
$7.85 x .8 yards=$6.28.
$10-$6.28=$3.72 change back