Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
Where
slope
So, considering the following equations
The following equations have the same slope
and
Because: implies that:
for and
Since the surface is the top part of a sphere centred on the origin, the directions of steepest descent are any vector originating from the origin (0,0).
At (5,5), the direction would be dictated by the line joining (5,5) and the origin (0,0), i.e. along <5,5> or equivalently along <1,1>.
You can also go through vector calculus to arrive at the same result.
Negative plus a negative is always positive. positive plus a positive is a positive. but if you have an positive plus a negative whatever sign has the bigger number thats the sign you'll use.
if they double in size every 3 months and there are 12 months in a year, just multiply 250x4=1000 then multiply that by 2. 1000x2=2000
