hi ay sorry im a lil stuck on these Qs, if u can help me il b very grateful!!
1) i) for the curve 2x^2 +xy+ y^2 = 14, find dy/dx in terms of x and y.
ii) deduce that there are 2 points on the curve 2x^2 + xy + y^2 = 14 at which the tangenst are parallel to the x-axis and find their coordinates.
2) i) the formula for tan2x = 2tanx/(1-tan^2x)
ii) By letting tanx= t show that the equation,
4tan2x + 3cotx sec^2x = 0
becomes
3t^4 - 8t^2 - 3= 0.
iii) find all the solutions of the equation,
4tan2x + 3cotx sec^2x = 0
which lie in the range 0<= x<=2pi.