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The formula for the area is:
f(x) = 2xy
Plug in for y:
f(x) = 2x(5 - x²)
f(x) = 10x - 2x^3
Take the first derivative:
f'(x) = 10 - 6x²
Set that to zero:
0 = 10 - 6x²
6x² = 10
x² = 10/6
x² = 5/3
x = √(5/3)
x ≈ 1.29
y = 5 - (√(5/3))²
y = 5 - 5/3
y = 15/3 - 5/3
y = 10/3
The width (2x) is:
2x ≈ 2.58
The height (y) is:
y ≈ 3.33
What else can I help you with?
The area of rectangle?
Rectangle area = (rectangle width) x (rectangle height)
Formula for finding the area of a rectangle?
A = lw Area of a rectangle = length times width
What is the area of a rectangle 5x7?
The area of rectangle is : 35.0
How is the area of a triangle related to the area of a rectangle?
It's half the area of a rectangle
What is the area of a rectangle at 12cm by 4cm?
The area of rectangle is : 48.0
What is the area of a rectangle 10cm x3cm?
The area of rectangle is : 30.0
What is the area of a rectangle that is 14cm by 12cm?
The area of rectangle is : 168.0
What is the area of a rectangle 4.5x10m?
The area of rectangle is : 45.0
How do you find the area of a rectangle if part of the shape is missing?
Area of rectangle with part of the shape missing = area of rectangle (lengthxwidth)-area of missing part.
Who invent area of rectangle?
Nobody invented the area of a rectangle. A rectangle would have had an area even if human beings had never existed!
What is the area of a rectangle 9x8?
The area of rectangle is : 72.0
Surface area of rectangle?
Area of a rectangle = length x width
