√70以上 level curves of a function calculator 348787-Level curves of a function calculator

1 Level Surfaces 2 If one of the Arguments is time we can animate ie w = f(x,y,t) Level Surfaces Given w = f(x,y,z) then a level surface is obtained by considering w = c = f(x,y,z) The interpretation being that on a level surface f has the same value at every pt For example f could represent the temperature at each pt in 3space

Level curves of a function calculator-Gradients and Level Curves Recall that if a curve is defined parametrically by the function pair then the vector is tangent to the curve for every value of in the domain Now let's assume is a differentiable function of and is in its domain Let's suppose further that and for some value of and consider the level curve Define and calculate on the level curve These level curves and gradient vector fields are slowly building an outline of a surface in \( \mathbb{R}^3\) However, we are still lacking a way of connecting the curves and the arrows How would one follow the vectors to get from one level curve to the next?

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