Mathematics, 12.02.2020 01:39 reinajoy
Rewrite each of the following sentences using logical connectives. Assume that each symbol!, xâ, n, x, B represents some fixed object.
(a) If f has a relative minimum at xâ and if f is differentiable at xâ, then fâ˛(xâ)=0..,
(b) If n is prime, then n = 2 or n is odd.,
(c) R is symmetric and transitive whenever R is irreflexive.,
(d) B is square and not invertible whenever det B = 0.,
(e) f has a critical point at xâ iff f '(xâ) = 0 or f'(xâ) does not exist.,
(f) 2 < n - 6 is a necessary condition for 2n < 4 or n > 4.,
(g) 6 ⼠n - 3 only if n > 4 or n > 10.,
(h) x is Cauchy implies x is convergent.,
( i) f is continuous at xâ whenever f(x) = f(xâ).,
(j) If f is differentiable at xâ and f is increasing at xâ, then f'(xâ) > 0.
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Rewrite each of the following sentences using logical connectives. Assume that each symbol!, xâ, n,...