Suppose that over a certain region of space the electrical potential v is given by the following equation. v(x, y, z) = 2x2 − 5xy + xyz (a) find the rate of change of the potential at p(2, 6, 7) in the direction of the vector v = i + j − k. (b) in which direction does v change most rapidly at p? (c) what is the maximum rate of change at p?

some think that theories become laws, but theories and laws have separate and distinct roles in the scientific method. a law is a description of an observed phenomenon in the natural world that hold true every time it is tested. it doesn't explain why something is true; it just states that it is true.

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a coal burning power plant

part 1: which substance has a higher solubility?

a

smallest amount left undissolved atall temps in table shown most has dissolved high sol'by