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Math · Calculus
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Suppose a second degree polynomial function f(x, y, z) = x2 + y2 – z2, describes the temperature at a point in 3D space.
If C is a constant temperature, then the equation f(x, y, z) = C generates the graph
Of a 3D level surface called an isotherm. Three distinct isothermal surfaces are depicted in the figure below. identify which surface represents a temperature below zero, above zero and equal to zero and ×explain each identification using well written English sentences and algebra.

f(x, y, z) = C3 f(x, y, z) = c2 fox,y,z)=e, Level surfaces off


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