Find the dimensions of the rectangle of largest area that

Cabiolab

Cabiolab

Answered question

2021-08-14

Determine the size of the largest area rectangle whose base is on the x-axis and whose other two vertices are above the x-axis and on the parabola. (Round your answers to the nearest hundredth.) 
y=6x2

Answer & Explanation

hosentak

hosentak

Skilled2021-08-15Added 100 answers

Area of the rectangle is A=xySubstitue y=6x2in the formula of the area.A=x(6x2)
=6xx3Diferentiate area with respect to x and equate to 0.A=ddx(6xx3)
=63x2
63x2=0
3x2=6
x=±2
Substitutex=±2  y=6x2to get value of height,y=6x2
=6(2)2
=4Hence. the dimensions of rectangle are,22×4.

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