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Assignment - Solve the problems and explain your reasoning.
Q1. Find the limit lim(x, y)→(0, 0)(x4 - 4y2)/(x2 + 2y2), if it exists, or show that the limit not exist.
Q2. Solve. Explain each step.
Q3. Find the area of the parallelogram with adjacent sides u = 2i + 4j - 3k and v = i - 5j + 3k.
Q4. Find the local maximum and minmum values and saddle points of f(x, y) = x4 + y4 - 4xy + 1.
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