The fatigue data for a brass alloy are given as follows: Stress Amplitude Cycles to $($MPa$)$ Failure $3102$ x $1052231$ x $1061913$ x $1061681$ x $1071533$ x $1071431$ x $1081343$ x $1081271$ x $109($a$)$ Make an S$$N plot $($stress amplitude versus logarithm of cycles to failure$)$ using these data. $($b$)$ Determine the fatigue strength at $5$ x $105$ cycles. $($c$)$ Determine the fatigue life for $200$ MPa.