The rate at which people are becoming infected (in person per day) during the outbreak of a disease was approximated by the function mentioned below, where x is in days and
xequals=0
corresponds to the start of the outbreak. Complete parts (a) and (b) below.
f left parenthesis x right parenthesis equals 6 x e Superscript negative StartFraction x Over 7 EndFractionf(x)=6xe−x7
Question content area bottom
Part 1
(a) Find the function
Upper F left parenthesis x right parenthesisF(x)
that gives total number of people who have become infected by day
xx
given that 12 people were infected when
xequals=0.
Select the correct choice below and fill in the answer box to complete your choice.
A.
To find F(x), evaluate the derivative of f(x). Therefore
Upper F left parenthesis x right parenthesis equals nothingF(x)=enter your response here.
(Type an exact answer.)
B.
To find F(x), evaluate the antiderivative of f(x). Therefore
Upper F left parenthesis x right parenthesis equals nothingF(x)=enter your response here.
(Type an exact answer.)