Maxima and Minima Question Help (1 Viewer)

[lookoutastroboy]

Hey guys and gals,

The questions below come from SB Jones/Couchman - pretty much cant figure out how to link up the required variables

Here goes

1. A window consists of a rectangle surmounted by a semi-circle having as its diameter the width of the rectangle. If the perimeter of the window is t metres, find the greatest possible area of the window.

2. The cost per hour of running a pleasure cruiser is $(V^2/40 + 10), where V is the speed in knots.

a) For a trip of D nautical miles show that the cost is $[D/V(V^2/40 + 10)]

b) What is the most economical speed for running the cruiser on this trip?




Thanks in advance,
lookoutastroboy

 

[fullonoob]

if you could draw me the diagram for q1 i'd be happy to do it. I'm not sure whether the rectangle is the window. The semi circle? Or the rectangle - semi circle? I kinda drew a rectangle that has a semi circle inside it with width of rectangle = D of circle
diagram please ... wouldn't wna misguide you

 

[adomad]

its a rectangle with a semicircle on it

 

[twistedrebel]

exercise and page number. I can help you better

 

[lookoutastroboy]

exercise and page number. I can help you better

thanks for the reply - sorry bout my late one - yeah the exercise is 16.6 and page number is 330 - question 11




good luck ^_^