Answer:

Step-by-step explanation:
The definition of derivative states that:

Then:



A constant function is a zero-order polynomial. The domain of any real polynomial is
. Then, the domain of the function is:

Answer:
2.04 miles per hour
Step-by-step explanation:
Given
Noel


Casey


Required
The rate at which the distance increases
Their movement forms a right triangle and the distance between them is the hypotenuse.
At
and 
The distance between them is:




After 1 hour, their new position is:
New = Old + Rate * Time


And:


So, the distance between them is now:




The rate of change is:



This is esay to do when you realize the the speed of mowing is addtive. This is if John mows at 1 lawn / (2/3) hour and Gerge mows at 1 lawn / 1hour, the total speed of mowing is:
1 / (2/3) + 1 = 3/2 + 1 = 5/2
=> 5/2 of lawn per hour
Now, the time is calcualted as the amount of lawn divided by the speed:
1 lawn / (5/2 lawn/hour) = 2/5 hour.
Answer: 2/5 of an hour.
Answer:

Step-by-step explanation:
There is <em>one-and-a-half</em> <em>hour</em> in <em>ninety</em><em> </em><em>minutes</em>,<em> </em>so multiply 6 by 15 to get 90, then whatever is done to the bottom is also done to the top, so you <em>square</em> 6 to get 36.
I am joyous to assist you anytime.
Answer:
27/4 units^3
Step-by-step explanation:
V= area of the base × length
V= 3 3/8 × 2
= 27/4 units^3