Answer:
The resistance approaches infinity
Step-by-step explanation:
We are given
The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation
where
p represents the resistivity of the wire’s material
L represents the length of the wire
d represents the diameter of the wire
now,
d approaches to 0
so, we can plug d=0 and find R
So,
The resistance approaches infinity
C is the best option and compare it with the equation of circle to get values
It's a linear program; the extrema will be at the corners.
Let's enumerate them. 4 choose 2 gives 6 possible meets of 4 lines. One pair are parallel, down to five to try.
4x-y=1 intersects x=0 at y=-1, outside the domain y≥0.
4x-y=1 intersects y=0 at x=1/4, (1/4, 0)
4x-y=1 intersects x=5 at y=19, (5,19)
(0,0) is outside the domain 4(0)-0=0 which isn't ≥1.
(5,0) is a valid corner.
It's a triangular domain. Three points to try,
C(1/4,0) = 6(1/4) + 2(0) = 3/2
C(5,19) = 6(5) + 2(19) = 68
C(5,0) = 6(5) + 2(0) = 30
Answer: Maximum C=68 at (x,y)=(5,19)
