a) y2²-x+²²=17 b) ln(y-1) +2³-12x = x²

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Consider the following curves in R³. State under what conditions they implicitly
define y as a function. If feasible, computed and for (x, y, z) = (1, 1, 1).
(a) yz² - x + ¹ = 17
(b) ln(y-1)+2³-12x = x²
Transcribed Image Text:Consider the following curves in R³. State under what conditions they implicitly define y as a function. If feasible, computed and for (x, y, z) = (1, 1, 1). (a) yz² - x + ¹ = 17 (b) ln(y-1)+2³-12x = x²
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