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10 Nov 2019
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Answer the following questions in no more than two lines of text. Minimal computations are required. Explain in words when the limit of f(x, y) exists as (x, y) approach (0, 0). Consider the function x(s, t) with the variables s and t themselves dependent on f, g, and h through functions s(f, g, h) and t(f, g, h). Give an expression for partialx/partialf. Draw 4 contours near a local maximum, labeling their value, and graph the gradient at a point that lies on one of those contours. Explain why the formula gives the arclength of a curve r rightarrow (t). If the acceleration of a particle is given by a rightarrow (t) = , what additional information do you need to uniquely specify its position as a function of time?
Help
Answer the following questions in no more than two lines of text. Minimal computations are required. Explain in words when the limit of f(x, y) exists as (x, y) approach (0, 0). Consider the function x(s, t) with the variables s and t themselves dependent on f, g, and h through functions s(f, g, h) and t(f, g, h). Give an expression for partialx/partialf. Draw 4 contours near a local maximum, labeling their value, and graph the gradient at a point that lies on one of those contours. Explain why the formula gives the arclength of a curve r rightarrow (t). If the acceleration of a particle is given by a rightarrow (t) = , what additional information do you need to uniquely specify its position as a function of time?