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

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.