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Answer: In 1–20, determine the Laplace transform of the

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 1E Chapter 7.3

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 1E

In 1–20, determine the Laplace transform of the given function using Table 7.1 and the properties of the transform given in Table 7.2 [Hint: In 12–20, use an appropriate trigonometric identity.]

Step-by-Step Solution:
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Glycolysis Enzymes Enzyme Reactants Products Inhibitor Activators Class s 1. Hexokinase Glucose + Glucose 6 Glucose Glucose -Transferase ATP Phosphate 6- 6 Carbons phospha -ATP te Phosphorylat ATP investment es, gives G6P ATP (-) charge 2. Glucose 6 Fructose 6 None None Isomerase Phosphoglucose Phosphate phosphate Reversa Reversabl Isomerase bl e 6 Carbons 3. Fructose 6 Fructose 1,6 Bi- ATP , AMP, ADP, Transferase P hosphofructoki phosphate phosphate citrate Fructose2, nase + ATP +ADP + H 6- ATP Investment Biphospha te 6 Carbons 4. Aldolase Fructose Dihydroxyacet None none lyases 1,6 Bi- one + 6 C – 2 (3C) Phoshpate Glyceraldehyd e 3 Phosphate 5. Trios Dihydroxy Glyceraldehyd None None Isomerase Phosphate acetone e 3 phosphate Isomerase phosphate -Get 2 molecules of glyceraldehyde 3 phosphate 6. Glyeraldehyde Glyceralde 1,3 None None Oxioreductas 3 Phosphate hyde 3 Biphosphoglyc e dehydrogenase phosphate erate +NAD +NADH + H -Forms NADH from +P oxidation of NAD+ 7. 1,3 3 Transferase Phosphoglycerat Biphosphog Phosphoglycer e kinase lycerate ate + ATP -ATP production (SLP) -2 ATP molecules produced 8. 3- 2- Isomerase Phosphoglycerat Phosphoglu PHosphoglucer e Mutase cerate ate 9. Enolase 2 Phoshoenol Lyase Phosphogly pyruvate + -H20 Removal cerate H2O 10. Pyruvate Phosphoen Pyruvate +ATP ATP Fructose Transferase Kinase olpyruvate Acytyle 1,6 -ATP production +ADP COA Biphospha +H te Alanine 4 ways to regulate Glycolysis 1. Availability of substrate / Hormonal Regulation The availability of the substrate, glucose, regulates the secretion of insulin. - If levels of glucose are high, insulin will activate glucokinase in the liver (WHY) - What happens if blood sugar levels are low 2. Allosteric regulation -ATP, Citrate, AMP, Fructose 6-P, Fructose 2-6-BP 1. Anaerobic Respiration: No Oxygen available, organisms may be aerobic A) Alcoholic Fermentation: Pyruvate reduced to form Ethanol + CO2 and NAD+ RED ARROW: When Ethanol is consumed, NADH synthesis is stimulated by the liver by a reverse Acetaldehyde Reaction. -Excess NADH will inhibit glycolysis and fatty acid oxidation. -The result is accumulation of fat in the liver (cirrhosis) and loss of function ________________________________________________________________________ _________________________ B) Lactic Acid Fermentation: Pyruvate reduced to form lactate and NAD+ Pyruvate Lactate Fermentation allows regeneration of some NAD+ so that glycolysis can continue producing some ATP. This allows glycolysis to continue for a short while, until more oxygen becomes available. -Otherwise pain and cramps associated with muscle fatigue will follow. Catabolic and anabolic Pathways

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Chapter 7.3, Problem 1E is Solved
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Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

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Answer: In 1–20, determine the Laplace transform of the