WebFind step-by-step solutions and your answer to the following textbook question: (a) Show that if a > 0, then 1/a > 0 and 1/(1/a) = a. (b) Show that if a < b, then $$ … WebDec 4, 2024 · Is a>0? (1) a 3 − a < 0 --> a ∗ ( a 2 − 1) < 0. Two cases: A. Both multiples are positive: a < 0 and a 2 − 1 > 0, (which means a < − 1 or a > 1 ). As a < 0 then the range would be a < − 1. B. Both multiples are negative: a > 0 and a 2 − 1 < 0, (which means − 1 < a < 1 ). As a > 0 then the range would be 0 < a < 1.
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Web1 day ago · Thu., April 13, 2024 timer 1 min. read. Matts Wieffer’s second-half volley helped Feyenoord beat Roma 1-0 in their Europa League first-leg quarterfinal match Thursday. Oussama Idrissi set up the ... WebThe signum function is the derivative of the absolute value function, up to (but not including) the indeterminacy at zero. More formally, in integration theory it is a weak derivative, and in convex function theory the subdifferential of the absolute value at 0 is the interval [,], "filling in" the sign function (the subdifferential of the absolute value is not single-valued at 0). how can one increase agricultural production
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Web1 hour ago · Cheyenne Central junior Ekena Little (13) and Cheyenne South freshman Vanessa Gonzalez (23) jump to head a corner kick during a soccer game at Cheyenne Central High School on Friday, April 14, 2024. WebThis attribute of a number, being exclusively either zero (0), positive (+), or negative (−), is called its sign, and is often encoded to the real numbers 0, 1, and −1, respectively (similar to the way the sign function is defined). [1] Since rational and real numbers are also ordered rings (in fact ordered fields ), the sign attribute also ... WebSep 7, 2024 · Let a ≥ 1. Write a = a ⋅ a ⋅ 1 ⋯ 1 (with n − 2 ones). By the AM-GM we have. 1 ≤ a 1 / n = ( a ⋅ a ⋅ 1 ⋯ 1) 1 / n ≤ 2 a + n − 2 n → 1. The squeeze theorem concludes the proof. The case 0 < a < 1 is the immediate consequence of the case a ≥ 1 (use 1 / a instead of a … how many people in harvard