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Decide if the statement must be true, might be true, or could not be true. The...

Decide if the statement must be true, might be true, or could not be true. The function z = f(x, y) is defined everywhere.

a) The level curves corresponding to z = 2 and z = −2 cross at the origin.

b) If z = e−(x^10 + y^10), there is a level curve for every value of z.

c) If z = e−(x^4 + y^4), there is a level curve through every point (x, y).

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