Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.
a. The planes tangent to the cylinder x2 + z2 = 1 in ¡3 all have the form ax + bz + c = 0.
b. Suppose
c. The gradient ▿F(a, b, c) lies in the plane tangent to the surface F(x, y, z) = 0 at (a, b, c).
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