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a) Determine which amounts of postage can be formed using

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 6E Chapter 5.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 6E

a) Determine which amounts of postage can be formed using just 3-cent and 10-cent stamps.

b) Prove your answer to (a) using the principle of mathematical induction. Be sure to state explicitly your inductive hypothesis in the inductive step.

c) Prove your answer to (a) using strong induction. How does the inductive hypothesis in this proof differ from that in the inductive hypothesis for a proof using mathematical induction?

Step-by-Step Solution:
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PHY 184 Week 9 Notes-Magnetic Fields & Electromagnetic Induction 10/24-10/27  Moving charges produce a magnetic field o The Biot-Savart Law establishes this relation  Wires produce a magnetic field o Can be seen by a compass near the wires μ d B= 0 ids×^ ⏞= ⃗ o 4π r2 ; r  μ0 is the magnetic permeability of free space  4π 10 -7  To calculate B at P just integrate along the path  Solving for B using symmetry gives B= μ0i o 2πd 2 Parallel Wires  Consider a wire with current i a d1stance d away, with another wire nearby with current i .2 o They will attract  Magnetic Force is given by F=i2L B1si

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Chapter 5.2, Problem 6E is Solved
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Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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a) Determine which amounts of postage can be formed using