1) for at least one x in the interval [1, ∞], f (x + 2) - f (x) < 2 2) limx→∞ f’ (x) = 1 3) For all x in the interval [1, ∞], f (x + 2)... View Article
1) f (x) = {(1 / 2) - x, when x < 1 / 2 and [(1 / 2) - x]2, when x ≥ 1 / 2 2) f (x) = {(sin x / x), when x ≠0 and 1, when x = 0 3) f... View Article
1) Increasing on [0, ∞] 2) Decreasing on (0, ∞) 3) Decreasing on [0, π / e) and increasing on [π / e, ∞) 4) Increasing on [0, π / e) and... View Article
1) α / β 2) β / α 3) √α / β 4) √β / α Solution: (3) √α / β The number of batches = N / x and time per batch = (α + βx2) second... View Article
1) Maxima when n = –2, –4, –6,… 2) Maxima when n = –1, –3, –5,… 3) Minima when n = 0,2,4,… 4) Minima when n = 1,3,5,… 5) 2 and 3... View Article