Sketch the graph of a function
fwith the following properties:
\lim_(x->-\infty )f(x)=\lim_(x->\infty )f(x)=0,f^(')(x)>0, for
x<0,f^(')(x)<0, for
x>0
f^('')(x)>0, for
x<-1,f^('')(x)<0, for
-10, for
x>1Determine nonnegative numbers
x>=0,y>=0which maximize the product
P=xysubject to the constraint
x+2y=60. Use the closed interval method to verify your answer. Please answer both