## Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

a) Numerical Estimation: for $x=5$: $f(5)\approx77.797$ for $x=10$: $f(10)\approx67.010$ for $x=20$: $f(20)\approx61.088$ for $x=40$: $f(40)\approx60.026$ for $x=80$: $f(80)\approx60.000$ for $x=160$: $f(160)\approx60.000$ $\lim\limits_{x \to \infty}f(x)=60.000$ b) $y=60.00$ c) This mathematical model shows that the number of farms with milk cows in the United States will decrease to 60 (thousand).