Find for defined implicitly by the equation exyx2y1 and


1. Find for defined implicitly by the equation exy=x2+y+1, and evaluate at (0, 0).

2. A point moves along the graph of y = x3in such a way that its y coordinate is increasing at a constant rate of 5 units per second. Does the x coordinate ever increase at a faster rate than the y coordinate? Explain.

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