Asked by Marc
a rectangle with one side on the x axis and one side on the line x=2 has it upper left vertex on the graph of y=x^2, for what values of x does the area of the rectangle attain its maximum value?
Answers
Answered by
Damon
height = y = x^2
width = 2-x
area = a = x^2(2-x)
a = 2 x^2 -x^3
da/dx = 0 for max/min = 4 x -3x^2
0 = x (4 - 3 x)
x = 4/3
width = 2-x
area = a = x^2(2-x)
a = 2 x^2 -x^3
da/dx = 0 for max/min = 4 x -3x^2
0 = x (4 - 3 x)
x = 4/3
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.