The (x, y) coordinates of a certain object as a function of time t are given byfor 0 ≤ t ≤...

The (x, y) coordinates of a certain object as a function of time t are given by

for 0 ≤ t ≤ 4. Write a program to determine the time at which the object is the closest to the origin at (0, 0). Determine also the minimum distance. Do this two ways:

a. By using a for loop.

b. By not using a for loop.