Arectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11 − x 2 . what are the dimensions of such a rectangle with the greatest possible area?

,

Step-by-step explanation:

Given

rectangle with its base on x-axis

and other two corners at parabola

and parabola is downward facing symmetric about y-axis

let y be the y co-ordinate of the corner thus x co-ordinate is given by

Thus lengths of rectangle is & y

Area

differentiating w.r.t to y for maximum area

we get y=

and

A_{max}=16.21 units

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.