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Could someone give me a hand with these questions (from fitzpatrick): 17. A stone is thrown so that it will hit a bird at the top of a pole. However at the instant the stone is thrown, the bird flies away in a horizontal straight line at a speed of 10m/s. The stone reaches a height double that...

When you have a question like: arg(z-1) - arg(z+2)=pi/3 And your told to find the locus, how do you find the centre of the circle? I know the general shape of the locus but can never seem to find the centre. Also is it necessary to find the centre of the circle or is the intercepts and angle...

Just curious really how you would solve this algebraically. Doesn't really have to be this question specifically just something similar eg. sin(2x)=x

when differentiating this : I take the (x^2+y^2) to the other side and then differentiate but i get a different answer to when i use the quotient rule (when leaving it as is).:confused: Is there any reason for this or am i just making a mistake somewhere?

Find the coefficient of y^-3 in: (y+1/y)^10 (y-1/y)^7 i could do this if i expanded it out but it would take to long. So is there any alternate method i could use to make it quicker. And also in questions like (2x-3y)^6 where you have to find the greatest coefficient. when you sub it...

in this extract from leaving home... The Pallbearer of the Year! A red-and-white sign at my feet : "Cabbages for Sale." if i were to quote "cabbages for sale" would i have to use to double speech marks like this... " "Cabbages for sale" "

can anyone tell me if sor 1 scales any good cause i am currently doing it but not sure if i should keep it for my hsc. p.s. i go to a catholic school so i will have to do catholic studies if i drop it

With aid of argand diagram show |z+w|<=|z|+|w| if z and w are complex numbers.

A regular polygon has n sides and n vertices, n>=3. Show that the number of diagonals of the polygon is given by D=0.5n(n-3). any help please .... thanks