Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

Step-by-step explanation:

Given that a rectangle is inscribed in a circle of radius r.

Since diameter subtends right angle at the circumference we get diagonal of the rectangle is diameter of the circle

Let l and w be the dimensions

Then

Hence A =lw maximum when A square is maximum

i.e.

Use derivative test

I derivative =

II derivative <0 for non zero value of l

Hence maximum when

Or rectangle is a square with equal sides

i can you with this question sweetie!

step-by-step explanation:

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680