Describe the concept of interconnection within a computer system.
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2021-04-14T13:16:53-0400
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1. Use the Mean Value Theorem to establish the following inequalities
(a) x < sin−1 x < x √ 1 − x 2 for 0 < x < 1. (b) e a (x − a) <
ex − e a < ex (x − a) if a < x. (c) e x > x + 1, ∀ x > 0. (d)
|sin x − sin y| ≤ |x − y| ∀x, y ∈ R. (e) x 1 + x < ln(1 + x)
< x for −1 < x < 0 , x > 0
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Dear desmond please post a new question
Dear desmond please post a new question
1. Use the Mean Value Theorem to establish the following inequalities (a) x < sin−1 x < x √ 1 − x 2 for 0 < x < 1. (b) e a (x − a) < ex − e a < ex (x − a) if a < x. (c) e x > x + 1, ∀ x > 0. (d) |sin x − sin y| ≤ |x − y| ∀x, y ∈ R. (e) x 1 + x < ln(1 + x) < x for −1 < x < 0 , x > 0
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