Question 1
If x
2y
2z
3 + zx sin y = 5 defines z as a function of x and y, find

.
◦ -

◦

◦ -

◦

◦ -

Question 2
Do the equations x
2 + y
2s + yt
2 =13 and y
2 + x
2s + xt
2 = 9 define s and t as functions of x and y near the point (x, y, s, t) = (1, 2, 1, -2)? If so, find

at that point.
◦ 0
◦ 1
◦ 2
◦ -2
◦ The equations do not define s and t as functions of x and y near the given point.