Homework SourseA rectangle is to be placed in the rst quadrant with bottom
A rectangle is to be placed in the ?rst quadrant with bottom on the x-axis and vertex on
the graph of y = e^?x
. What is the maximum possible area of the rectangle? Use the second
derivative test to verify the solution is a maximum.
the graph of y = e^?x
. What is the maximum possible area of the rectangle? Use the second
derivative test to verify the solution is a maximum.
Solution
area=x*e^(-x) for max e^(-x) -xe^(-x)=0 x=1 tus max rectangle is of size length 1 units breadth 1/e units
