Negative means less.
Positive means more.
as a negative # moves farther away from 0, it becomes smaller.
i.e.
-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7
-5 less than 7.
Answer:
9
Step-by-step explanation:
Question:
Find the point (,) on the curve that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:
Step-by-step explanation:
can be represented as:
Substitute for
So, next:
Calculate the distance between and
Distance is calculated as:
So:
Evaluate all exponents
Rewrite as:
Differentiate using chain rule:
Let
So:
Chain Rule:
Substitute:
Next, is to minimize (by equating d' to 0)
Cross Multiply
Solve for x
Substitute in
Split
Rationalize
Hence: