3. Determine, with proof, which of the following functions f: R + R are coercive: (a)...

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3. Determine, with proof, which of the following functions f: R + R are coercive: (a) f(x, y, z) = x+4y-2z for r, y, z E R. (b) f(x, y, z) = a + y + 23- ry for r, y, z e R. (c) f(x, y, 2) = 2² + y? + 22 – sin(xyz) for r, y, z E R. 3. Determine, with proof, which of the following functions f: R + R are coercive: (a) f(x, y, z) = x+4y-2z for r, y, z E R. (b) f(x, y, z) = a + y + 23- ry for r, y, z e R. (c) f(x, y, 2) = 2² + y? + 22 – sin(xyz) for r, y, z E R.

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fR3R a fxyz x4y2z for xyz R fR n R is coercive if ... View the full answer