Q: Does "application" have the same meaning in the following two sentences?

It is a job requiring serious application.

December 31 is the deadline for MBA applications.

A: different meanings

Q: Does "state" have the same meaning in the following two sentences?

His state of health.

In a weak financial state.

A: the same meaning

Q: Does "trace" have the same meaning in the following two sentences?

Trace a design.

The women traced the pasture.

A:
different meanings