Question 1180067


a) Determine the area of the inscribed square as a function of {{{x}}}.

the side of the square is

{{{a=sqrt((10-x)^2+(10-x)^2)}}}

{{{a=sqrt(2(10-x)^2)}}}

{{{a=(10-x)sqrt(2)}}}

then the area of the inscribed square is

{{{A=a^2}}}

{{{A=((10-x)sqrt(2))^2}}}

{{{A=2(10-x)^2}}}

b) Determine the domain and range of the area function

domain: {{{R}}} (all real numbers)

range: { {{{A}}} element {{{R}}} : {{{A>=0}}} } (all non-negative real numbers)


c) Determine the perimeter of the inscribed square as a function of {{{x}}}

{{{P=4*(10-x)sqrt(2)}}}


d) Determine the domain and range of the perimeter function!


domain: {{{R}}} (all real numbers)

range: {{{R}}} (all real numbers)