APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 8.6, Problem 13P
To determine
The objective function and constraint.
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Chapter 8 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 8.1 - Prob. 1PCh. 8.1 - Prob. 2PCh. 8.1 - Prob. 3PCh. 8.1 - Prob. 4PCh. 8.1 - Prob. 5PCh. 8.1 - Prob. 6PCh. 8.1 - Prob. 7PCh. 8.1 - Prob. 8PCh. 8.1 - Prob. 9PCh. 8.1 - Prob. 10P
Ch. 8.1 - Prob. 11PCh. 8.1 - Prob. 12PCh. 8.1 - Prob. 13PCh. 8.1 - Prob. 14PCh. 8.1 - Prob. 15PCh. 8.1 - Prob. 16PCh. 8.1 - Prob. 17PCh. 8.1 - Prob. 18PCh. 8.1 - Prob. 19PCh. 8.1 - Prob. 20PCh. 8.1 - Prob. 21PCh. 8.1 - Prob. 22PCh. 8.1 - Prob. 23PCh. 8.1 - Prob. 24PCh. 8.1 - Prob. 25PCh. 8.1 - Prob. 26PCh. 8.1 - Prob. 27PCh. 8.1 - Prob. 28PCh. 8.1 - Prob. 29PCh. 8.1 - Prob. 30PCh. 8.2 - Prob. 1PCh. 8.2 - Prob. 2PCh. 8.2 - Prob. 3PCh. 8.2 - Prob. 4PCh. 8.2 - Prob. 5PCh. 8.2 - Prob. 6PCh. 8.2 - Prob. 7PCh. 8.2 - Prob. 8PCh. 8.2 - Prob. 9PCh. 8.2 - Prob. 10PCh. 8.2 - Prob. 11PCh. 8.2 - Prob. 12PCh. 8.2 - Prob. 13PCh. 8.2 - Prob. 14PCh. 8.2 - Prob. 15PCh. 8.2 - Prob. 16PCh. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - Prob. 23PCh. 8.2 - Prob. 24PCh. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.2 - Prob. 31PCh. 8.2 - Prob. 32PCh. 8.2 - Prob. 33PCh. 8.2 - Prob. 34PCh. 8.2 - Prob. 35PCh. 8.2 - Prob. 36PCh. 8.2 - Prob. 37PCh. 8.2 - Prob. 38PCh. 8.2 - Prob. 39PCh. 8.2 - Prob. 40PCh. 8.2 - Prob. 41PCh. 8.2 - Prob. 42PCh. 8.2 - Prob. 43PCh. 8.2 - Prob. 44PCh. 8.3 - Prob. 1PCh. 8.3 - Prob. 2PCh. 8.3 - Prob. 3PCh. 8.3 - Prob. 4PCh. 8.3 - Prob. 5PCh. 8.3 - Prob. 6PCh. 8.3 - Prob. 7PCh. 8.3 - Prob. 8PCh. 8.3 - Prob. 9PCh. 8.3 - Prob. 10PCh. 8.3 - Prob. 11PCh. 8.3 - Prob. 12PCh. 8.3 - Prob. 13PCh. 8.3 - Prob. 14PCh. 8.3 - Prob. 15PCh. 8.3 - Prob. 16PCh. 8.3 - Prob. 17PCh. 8.3 - Prob. 18PCh. 8.3 - Prob. 19PCh. 8.3 - Prob. 20PCh. 8.3 - Prob. 21PCh. 8.3 - Prob. 22PCh. 8.3 - Prob. 23PCh. 8.3 - Prob. 24PCh. 8.3 - Prob. 25PCh. 8.3 - Prob. 26PCh. 8.3 - Prob. 27PCh. 8.3 - Prob. 28PCh. 8.3 - Prob. 29PCh. 8.3 - Prob. 30PCh. 8.3 - Prob. 31PCh. 8.3 - Prob. 32PCh. 8.3 - Prob. 33PCh. 8.3 - Prob. 34PCh. 8.3 - Prob. 35PCh. 8.3 - Prob. 36PCh. 8.3 - Prob. 37PCh. 8.3 - Prob. 38PCh. 8.3 - Prob. 39PCh. 8.3 - Prob. 40PCh. 8.4 - Prob. 1PCh. 8.4 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.4 - Prob. 6PCh. 8.4 - Prob. 7PCh. 8.4 - Prob. 8PCh. 8.4 - Prob. 9PCh. 8.4 - Prob. 10PCh. 8.4 - Prob. 11PCh. 8.4 - Prob. 12PCh. 8.4 - Prob. 13PCh. 8.4 - Prob. 14PCh. 8.4 - Prob. 15PCh. 8.4 - Prob. 16PCh. 8.4 - Prob. 17PCh. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.4 - Prob. 20PCh. 8.4 - Prob. 21PCh. 8.4 - Prob. 22PCh. 8.4 - Prob. 23PCh. 8.4 - Prob. 24PCh. 8.4 - Prob. 25PCh. 8.4 - Prob. 26PCh. 8.4 - Prob. 27PCh. 8.4 - Prob. 28PCh. 8.4 - Prob. 29PCh. 8.4 - Prob. 30PCh. 8.4 - Prob. 31PCh. 8.4 - Prob. 32PCh. 8.4 - Prob. 33PCh. 8.4 - Prob. 34PCh. 8.4 - Prob. 35PCh. 8.4 - Prob. 36PCh. 8.4 - Prob. 37PCh. 8.4 - Prob. 38PCh. 8.4 - Prob. 39PCh. 8.4 - Prob. 40PCh. 8.4 - Prob. 41PCh. 8.4 - Prob. 42PCh. 8.4 - Prob. 43PCh. 8.4 - Prob. 44PCh. 8.5 - Prob. 1PCh. 8.5 - Prob. 2PCh. 8.5 - Prob. 3PCh. 8.5 - Prob. 4PCh. 8.5 - Prob. 5PCh. 8.5 - Prob. 6PCh. 8.5 - Prob. 7PCh. 8.5 - Prob. 8PCh. 8.5 - Prob. 9PCh. 8.5 - Prob. 10PCh. 8.5 - Prob. 11PCh. 8.5 - Prob. 12PCh. 8.5 - Prob. 13PCh. 8.5 - Prob. 14PCh. 8.5 - Prob. 15PCh. 8.5 - Prob. 16PCh. 8.5 - Prob. 17PCh. 8.5 - Prob. 18PCh. 8.5 - Prob. 19PCh. 8.5 - Prob. 20PCh. 8.5 - Prob. 21PCh. 8.5 - Prob. 22PCh. 8.5 - Prob. 23PCh. 8.5 - Prob. 24PCh. 8.5 - Prob. 25PCh. 8.5 - Prob. 26PCh. 8.5 - Prob. 27PCh. 8.5 - Prob. 28PCh. 8.5 - Prob. 29PCh. 8.5 - Prob. 30PCh. 8.5 - Prob. 31PCh. 8.5 - Prob. 32PCh. 8.6 - Prob. 1PCh. 8.6 - Prob. 2PCh. 8.6 - Prob. 3PCh. 8.6 - Prob. 4PCh. 8.6 - Prob. 5PCh. 8.6 - Prob. 6PCh. 8.6 - Prob. 7PCh. 8.6 - Prob. 8PCh. 8.6 - Prob. 9PCh. 8.6 - Prob. 10PCh. 8.6 - Prob. 11PCh. 8.6 - Prob. 12PCh. 8.6 - Prob. 13PCh. 8.6 - Prob. 14PCh. 8.6 - Prob. 15PCh. 8.6 - Prob. 16PCh. 8.6 - Prob. 17PCh. 8.6 - Prob. 18PCh. 8.6 - Prob. 19PCh. 8.6 - Prob. 20PCh. 8.6 - Prob. 21PCh. 8.6 - Prob. 22PCh. 8.6 - Prob. 23PCh. 8.6 - Prob. 24PCh. 8.6 - Prob. 25PCh. 8.6 - Prob. 26PCh. 8.6 - Prob. 27PCh. 8 - Prob. 1SYUCh. 8 - Prob. 2SYUCh. 8 - Prob. 3SYUCh. 8 - Prob. 4SYUCh. 8 - Prob. 5SYUCh. 8 - Prob. 6SYUCh. 8 - Prob. 7SYUCh. 8 - Prob. 8SYUCh. 8 - Prob. 9SYUCh. 8 - Prob. 10SYUCh. 8 - Prob. 11SYUCh. 8 - Prob. 12SYUCh. 8 - Prob. 13SYUCh. 8 - Prob. 14SYUCh. 8 - Prob. 15SYUCh. 8 - Prob. 16SYUCh. 8 - Prob. 17SYUCh. 8 - Prob. 18SYUCh. 8 - Prob. 19SYUCh. 8 - Prob. 20SYUCh. 8 - Prob. 21SYUCh. 8 - Prob. 22SYUCh. 8 - Prob. 23SYUCh. 8 - Prob. 24SYUCh. 8 - Prob. 25SYUCh. 8 - Prob. 26SYUCh. 8 - Prob. 27SYUCh. 8 - Prob. 28SYUCh. 8 - Prob. 29SYUCh. 8 - Prob. 30SYUCh. 8 - Prob. 31SYUCh. 8 - Prob. 32SYUCh. 8 - Prob. 33SYUCh. 8 - Prob. 34SYUCh. 8 - Prob. 35SYUCh. 8 - Prob. 36SYUCh. 8 - Prob. 37SYUCh. 8 - Prob. 38SYUCh. 8 - Prob. 39SYUCh. 8 - Prob. 40SYUCh. 8 - Prob. 41SYUCh. 8 - Prob. 42SYUCh. 8 - Prob. 43SYUCh. 8 - Prob. 44SYUCh. 8 - Prob. 45SYUCh. 8 - Prob. 46SYUCh. 8 - Prob. 47SYUCh. 8 - Prob. 48SYUCh. 8 - Prob. 49SYUCh. 8 - Prob. 50SYUCh. 8 - Prob. 51SYUCh. 8 - Prob. 52SYUCh. 8 - Prob. 53SYUCh. 8 - Prob. 54SYUCh. 8 - Prob. 55SYUCh. 8 - Prob. 56SYUCh. 8 - Prob. 57SYUCh. 8 - Prob. 58SYUCh. 8 - Prob. 59SYUCh. 8 - Prob. 60SYUCh. 8 - Prob. 1FOTCh. 8 - Prob. 2FOTCh. 8 - Prob. 3FOTCh. 8 - Prob. 4FOTCh. 8 - Prob. 5FOTCh. 8 - Prob. 6FOTCh. 8 - Prob. 7FOT
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- 3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a function ƒ : [-T,π] → R such that fn n∞. Further, show that fn →f uniformly on [-π,π] as n → ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7, 7]? Justify your answer. [10 Marks]arrow_forward1. (i) Give the definition of a metric on a set X. [5 Marks] (ii) Let X = {a, b, c} and let a function d : XxX → [0, ∞) be defined as d(a, a) = d(b,b) = d(c, c) 0, d(a, c) = d(c, a) 1, d(a, b) = d(b, a) = 4, d(b, c) = d(c,b) = 2. Decide whether d is a metric on X. Justify your answer. = (iii) Consider a metric space (R, d.), where = [10 Marks] 0 if x = y, d* (x, y) 5 if xy. In the metric space (R, d*), describe: (a) open ball B2(0) of radius 2 centred at 0; (b) closed ball B5(0) of radius 5 centred at 0; (c) sphere S10 (0) of radius 10 centred at 0. [5 Marks] [5 Marks] [5 Marks]arrow_forward(c) sphere S10 (0) of radius 10 centred at 0. [5 Marks] 2. Let C([a, b]) be the metric space of continuous functions on the interval [a, b] with the metric doo (f,g) = max f(x)g(x)|. xЄ[a,b] = 1x. Find: Let f(x) = 1 - x² and g(x): (i) do(f, g) in C'([0, 1]); (ii) do(f,g) in C([−1, 1]). [20 Marks] [20 Marks]arrow_forward
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