(a) find two explicit functions by solving the equation for y in terms of x,
(b) sketch the graph of the equation and label the parts given by the corresponding explicit functions,
(c) differentiate the explicit functions and
(d) find dy/dx implicitly and show that the result is equivalent to that of part (c).
1. x²+ y² = 64
2.25x2 +36y2 = 300
3. 16y²x² = 16 -
4. x²+ y²-4x+6y=-9