**Q2: **

A team of scientists have been working on the growth of metal oxide nanowires, that is, metal
oxide in the form of wires (cylinders) with dimensions in the order of nanometers. They
observed that when the nanowires had reached a critical size, namely, a diameter of 50 nm and
a length of 250 nm, the diameter increased at a rate of 1 nm/min and the length at a rate
of 15 nm/min.

Write the function that gives the aspect ratio of the nanowires, the ratio of their
lengths to their diameters, as a function of the growth duration , in minutes, after the
nanowires have reached the critical size.

The scientists want to get nanowires with an aspect ratio of 10. Use the graph to find the
corresponding growth duration after the nanowires have reached the critical size.

Assuming the growth mechanism remains the same, what would the aspect ratio of the
nanowires be after a very long growing time?