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MACM 101 Lecture 15: Lecture 15 Part 3_ Orders and Equivalences

Canada

Discrete Mathematics I

Math & Comp Sci

Andrei Bulatov

Simon Fraser University

Organic Chemistry I

Introduction to Computing Science and Programming I

Introduction to Computing Science and Programming II

Calculus I for the Biological Sciences

Molecular Biology and Biochemistry

Introduction to Physics

Introduction to Kinesiology

Fundamentals of Human Structure and Function

Computing Laboratory

General Biology II

Literature and Culture

<p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/48/4831118.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/48/4831118.png" alt=""></picture></p> <div id="c5i" class="hidden">1. Find maximal and minimal values of function subject to constraint </div>

<p><img class="bi x4 y1d w3 h5" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA/EAAAABCAIAAAAZ2blGAAAACXBIWXMAABYlAAAWJQFJUiTwAAAAHUlEQVRIx+3BAQ0AAAzDoPnXWwHX8QRYNQAA4K0D2jsC3bg5nMEAAAAASUVORK5CYII=" alt="" /></p>
<div class="t m0 x5 h3 y1 ff1 fs1 fc0 sc0 ls0 ws0">MTH 110 - TEST - Page 3 - FALL 2011</div>
<div class="t m0 x6 h4 y1e ff2 fs2 fc0 sc0 ls0 ws0">2. [8 marks] Suppose we are given the following set of premises</div>
<div class="t m0 x8 h4 y1f ff2 fs2 fc0 sc0 ls0 ws0">(1) <span class="ff4">p <span class="ff3">&rarr; </span>q</span></div>
<div class="t m0 x8 h4 y20 ff2 fs2 fc0 sc0 ls0 ws0">(2) <span class="ff4">p <span class="ff3">&and; </span>u</span></div>
<div class="t m0 x8 h4 y21 ff2 fs2 fc0 sc0 ls0 ws0">(3) <span class="ff5">&sim; <span class="ff4">q <span class="ff3">&or; </span>s</span></span></div>
<div class="t m0 x8 h4 y22 ff2 fs2 fc0 sc0 ls0 ws0">(4) <span class="ff4">r <span class="ff3">&rarr;<span class="ff5">&sim; </span></span>s</span></div>
<div class="t m0 x4 h4 y23 ff2 fs2 fc0 sc0 ls0 ws0">Use standard argument forms (Modus Ponens, Modus Tollens, etc) and logical equivalences to deduce</div>
<div class="t m0 x4 h4 y24 ff2 fs2 fc0 sc0 ls0 ws0">the following conclusion:</div>
<div class="t m0 x9 h6 y25 ff5 fs2 fc0 sc0 ls0 ws0">&sim; <span class="ff4">r <span class="ff3">&and; </span>s.</span></div>

<p>How to solve this problem?</p> <p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/43/4327170.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/43/4327170.png" alt=""></picture></p> <div id="ghi" class="hidden">Consider the ellipse r(t) = 2 cos t i + 3 sin t j. Where is the curvature maximal? Give reasons for your answer. Where is the curvature minimal? Give reasons for your answer.</div>

MACM 101 Lecture 15: Lecture 15 Part 3_ Orders and Equivalences

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