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Q 2. (1) Discuss the continuity of the function f(x) = {x - 3x if x < 2 ( 2x + 4 if x 2 2 on the open interval 0 < x < 2 and on the closed interval 0

Q 2. (1) Discuss the continuity of the function f(x) = {x - 3x if x < 2 ( 2x + 4 if x 2 2 on the open interval 0 < x < 2 and on the closed interval 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q 2. (1) Discuss the continuity of the function f(x) = {x - 3x if x < 2 ( 2x + 4 if x 2 2 on the open interval 0 < x < 2 and on the closed interval 0 <x< 2. (ii) An efficiency study of the morning shift at a certain factory indicates that an average worker arriving on the job at 7:00 A. M. will have assembled f (x) = x³ + 6x? + 15x units x hours later. Approximately how many units will the worker assemble between 8: 00 and 8: 15 A. M.? (iii) A manufacturer's total cost is C(q) = 0.1q³ + 0.5q² + 500q + 200 dollars when the level of production is q units. The current level of production is 4 units, and the manufacturer is planning to increase this to 4.1 units. Estimate how the total cost will change as a result.
Transcribed Image Text:Q 2. (1) Discuss the continuity of the function f(x) = {x - 3x if x < 2 ( 2x + 4 if x 2 2 on the open interval 0 < x < 2 and on the closed interval 0 <x< 2. (ii) An efficiency study of the morning shift at a certain factory indicates that an average worker arriving on the job at 7:00 A. M. will have assembled f (x) = x³ + 6x? + 15x units x hours later. Approximately how many units will the worker assemble between 8: 00 and 8: 15 A. M.? (iii) A manufacturer's total cost is C(q) = 0.1q³ + 0.5q² + 500q + 200 dollars when the level of production is q units. The current level of production is 4 units, and the manufacturer is planning to increase this to 4.1 units. Estimate how the total cost will change as a result.
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