The general formula of growth rate is .
(a)
\The intial mass mg.
Here represents the mass after
days.
Mass remaining after days is
.
Find the value of such that half life of strontium is
days.
Consider .
Substitute in
.
.
Substitute .
Substitute and
in the equation
.
Mass remaining after days is
.
(b).
\Find the mass after days.
Substitute in the equation
.
Mass remaining after days is
mg.
(c).
\Find time when
mg.
Substitute in the equation
.
days.
Time required for the sample to decay to mass of mg is
days.
(d).
\Graph:
\Graph for the function .
(a) Mass remaining after days is
.
(b) Mass remaining after days is
mg.
(c) Time required for the sample to decay to mass of mg is
days.
(d)
\Graph of the function .
.