HELP UNIT 2 , please

[sally baker]

a piece of wire 100cm in length is to be cut into two pieces,one piece of which is to be shaped into a circle and the other a square.


a) how should the wire be cut if the sum of the enclosed areas is to be a minimum ?
b)how should the wire be used to obtain a maximum area?






question 2


 show an open cardboard box of dimensions x cm(width),x cm(length), y cm(height) and the lid  for the box of dimensions x cm , x cm and 2cm (height). The total amount of cardboard used for the box and the lid is 1400 cm ^2
Let V cm^3 be the volume of the box.


A) find y in terms of x
B)Find v in terms of x

[xZero]

why double post? just bump your last one

1. a) let the length of circle be x and length of square be 100-x  (since the sum of square and circle = 100)

circle:





square: (let the side length be s)





add the two areas together, diff it etc. to find the x for minimum area.

b) I'm assuming that there's only 1 turning point, which means that you get the maximum area by having a circle alone or a square alone, you can graph the equation for the total area to see where the maximum point is.

try question 2 yourself, its similar concept