Investigate whether the following functions V ( x) are poS'iiive definite. (a) V(x) = 2xi + 2xiX2

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Investigate whether the following functions V ( x) are poS'iiive definite.

(a) V(x) = 2xi + 2xiX2 + 4x~- 4xi:I:;3 + 5:r~

(b) V(x) xi+ 4xixz + 5x~- 6xiX3- 8xz:r:3 + 8x§

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