We identify surfaces.
Work in groups of 3–4, writing your answers on a separate sheet of paper.
Match the following functions to the level curves.
- (a)
- \(3xy-x^3-y^3+\frac {1}{16}\)
- (b)
- \(\frac {3x}{2} -\frac {x^3}{2} - xy^2+\frac {1}{16}\)
- (c)
- \(x^4-2x^2+y^2-\frac {17}{16}\)
- (d)
- \(-2x^3-3y^4+6xy^2+\frac {1}{16}\)
- (e)
- \(x^4-y^4-2x^2+2y^2+\frac {1}{16}\)
- (f)
- \(-x^4+4xy-2y^2+ \frac {1}{16}\)
- (i)
- (ii)
- (iii)
- (iv)
- (v)
- (vi)
