Answer:
January
Step-by-step explanation:
A counterexample is something that proves the statement false.
January is a month that starts with J that is not a summer month.
That proves the statement false
Answer:
a.

b.


Step-by-step explanation:
Remember that for any curve
The tangent vector is given by

And the normal vector is given by

a.
For this case, using the chain rule

And also remember that

Therefore

Similarly, using the quotient rule and the chain rule

And also

Therefore

Notice that
1. 
2. 
b.
Simlarly

and

Therefore

Then

and also

And since

False the new perimeter is half of the original.