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(Solved): Sketch the graph of a function f with the following properties: \lim_(x->-\infty )f(x)=\lim_(x-&g ...



Sketch the graph of a function

f

with 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>1

Determine nonnegative numbers

x>=0,y>=0

which maximize the product

P=xy

subject to the constraint

x+2y=60

. Use the closed interval method to verify your answer. Please answer both

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