Answer:
All the points that lie on the line:
Step-by-step explanation:
In order to find the maximum rate of change, we need to find the gradient of the function. The gradient of a function of two variables is defined to be:
So:
Hence:
Since we need to find all the points at which the direction of fastest change of the function 
is 
. Then:
Therefore:
So, we can conclude, that all the points where the direction of fastest change of 
lie on the line:
The slope, m, is given by the equation m = (y2-y1)/(x2-x1), where (x1, y1) and (x2, y2) are points on the graph. Thus:
m = (-18-(-18))/(-15-12)
= (-18+18)/-27
= 0/27 = 0
Therefor the slope is 0
ANSWER
EXPLANATION
The sum of the first 
terms of a geometric sequence is given by;
Where , is the number of terms and 
is the first term.
When 
, we have 
, we get;
Answer:
If Carley ran the 400 meter run in a total of 55.7 seconds and she beat the record by 1.3 seconds, you would add 55.7 and 1.3
55.7+1.3= 57 seconds
The past school record for the girls 400 meter run was 57 seconds
Hope this helps ;)
