2. Why does the Implicit Function Theorem not show that the curve x² + y + sin(xy) 0 can be represented by a function x = h(y) in some nhood of (0,0)? =
2. Why does the Implicit Function Theorem not show that the curve x² + y + sin(xy) 0 can be represented by a function x = h(y) in some nhood of (0,0)? =
2. Why does the Implicit Function Theorem not show that the curve x² + y + sin(xy) 0 can be represented by a function x = h(y) in some nhood of (0,0)? =
Transcribed Image Text:2. Why does the Implicit Function Theorem not show that the curve \(x^2 + y + \sin(xy) = 0\) can be represented by a function \(x = h(y)\) in some neighborhood of \((0, 0)\)?
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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