![]() ![]() Be able to compute the tangent line to a curve.Moreover, c′(t) is tangent vector to the curve at time t. Also, c′(t) is the velocity of an object at position c(t). Know that a curve can be parametrized by a function c(t).Tangent plane of the graphs of f at point (x0, y0, f(x0, y0)) is z = f(x0, y0) + (x− x0) + (y − y0). Suppose f : R2 → R is differentiable at (x0, y0).Linear approximation of a function f : R2 → R near a point (x0, y0).Be able to sketch a few level sets as in the homework. Level sets: We call level curves for functions of two variables and level surfaces for functions of three variables.Knowing graph of a function, Level sets, and Sections. ![]()
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