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#1 Help Me ! » Application of maxima » 2008-09-22 00:45:00
- ose90
- Replies: 1
In the diagram above, Ox and Oy are the rectangular axes and the straight line PAQ passes through the fixed point A ( 4,1 ). The angle QPO= Theta and 0 < Theta < pi/2
Let T = theta ( Sorry , I do not know how to insert the symbol, I tried &Theta but no luck )
a) Show thatOP + OQ = 5 + 4 tan T + cot T and show that as T changes, the least value of OP + OQ is 9.
b) Show that PQ = 4 sec T + cosec T and find, correct to two significant figures, the minimum value of Q when T changes.
#2 Re: Help Me ! » Application of diferentiation, help me » 2008-09-21 01:13:58
Thanks you very much, glad to inform you that I have solved both questions.
Regards,
Frank
#3 Re: Help Me ! » Application of diferentiation, help me » 2008-09-20 20:31:10
Thanks for your elaborated explanation. I have understood it in a more detailed way,thanks!
Would you mind helping me with the 2nd question?
REgards
#4 Help Me ! » Application of diferentiation, help me » 2008-09-20 16:58:46
- ose90
- Replies: 3
A hemisphere bowl of radius 12cm is initially full of water. Water runs out of a small hole at the bottom of the bowl at a rate of 48pi cm^3 s^-1. When the depth of the water is x cm , show that the depth is decreasing at a rate of 48/[x(24-x)] cm s^-1
Also, find the rate at which the depth is decreasing when
a) The bowl is full.
b)The depth is 6cm.
Another question is in this picture
Thanks in advance! Really urgent 
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