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Pepsi [2]
3 years ago
6

A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yequals=4949minus−xsquared2. Wha

t are the dimensions of the rectangle with the maximum​ area? What is the​ area?
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0

Answer:

Dimensions of rectangle : Width = 2x , Length = 49 - x^2

Area of Rectangle = 98x - 2x^3

Step-by-step explanation:

A rectangle constructed with its base on the​ x-axis and two of its vertices on the parabola

Supposing coordinates of upper right vertex of rectangle are P = (x,y)

Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.

Width of rectangle :  2x

Length of rectangle :  y = 49 - x^2

Area of Rectangle = Length x Width

(2x) (49 - x^2)

= 98x - 2x^3

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