Section 1.2 (Page 87) (Calculus Book): 14‚ 23‚ 26‚ 29‚ 30‚ 31‚ and 32 14. limt→1t3+t2-5t+3t3-3t+2 =limt→1t3+t2-5t+3t3-t2+t2-t-2t+2 =limt→1t3-t2+2t2-2t-3t+3t2t-1+tt-1-2t-1 =limt→1t2t-1+2tt-1-3t-1t2+t-2t-1 =limt→1t2t-1+2tt-1-3t-1t-2t-1 =limt→1t-1t2+2t-3t-2t-1 =limt→1t2+3t-t-3t2+2t-t-2 =limt→1tt+3-1t+3tt+2-1t+2 =limt→1t+3t-1t+2t-1 =limt→1t+3t+2=1+31+2=43 23 limy→6y+6y2-36=limy→6y+6y+6y-6 ⟹limy→61y-6=16-6=10=undefined ∴limit doesn’t exist 26 limx→43-xx2-2x-8=limx→43-xx2-4x+2x-8=limx→4 3-xxx-4+2x-4
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Calculus can be implemented more into the medical field and help out with simple things such as the size determining the size of a tumor and calculating its growth rate. One could even calculating the correct dose of medication too prescribed To patients‚ so that they have the right ration for their bodies to absorb for the best treatment possible. Calculus is not required for medical however there are simple things that are easier to track and calculate using calculus the space patients having
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Calculus Cheat Sheet Derivatives Definition and Notation f ( x + h) - f ( x) . If y = f ( x ) then the derivative is defined to be f ¢ ( x ) = lim h ®0 h If y = f ( x ) then all of the following are equivalent notations for the derivative. df dy d f ¢ ( x ) = y¢ = = = ( f ( x ) ) = Df ( x ) dx dx dx If y = f ( x ) then‚ If y = f ( x ) all of the following are equivalent notations for derivative evaluated at x = a . df dy f ¢ ( a ) = y ¢ x =a = = = Df ( a ) dx x =a dx
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Portfolio in Calculus Submitted by: Chloe Regina C. Paderanga Submitted to: Sir Ferdinand Corpuz Journal for the Month of June WHAT I LEARNED? I learned many things this month. It was good that our teacher repeated the topics in basic math to strengthen our foundation. Even if we had a hard time‚ I don’t see any reason why we should complain because I understand that our wanted to master these topics to be able to move to a higher math. The topics tackled this month are namely:
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Integral calculus is the study of mathematical integration dealing with integrals. These integrals‚ also known as area under the curve‚ are used to determine the following: areas‚ volumes‚ and lengths. There are a multitude of areas of real-world mathematics to which integral calculus is used. Integration is most often applied in physics‚ biology‚ and even chemistry. Integration is applied to physics in many situations. One important situation is finding the moment of inertia. The moment of inertia
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Civil War Project 1. You must choose a topic for a project from the list below. You will work individually on this project. This is an oral presentation that must be 5-7 minutes. 2. Project presentations will take place on the week of May 28 3. This is an oral presentation. This is worth a test grade. 4. Pre-presentation work requirements: Notes on graphic organizer/bibliography due: March 18th Notes cards used during your presentation[due after presentation] 5. Media Center research
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This page intentionally left blank A Course in Financial Calculus A Course in Financial Calculus Alison Etheridge University of Oxford CAMBRIDGE UNIVERSITY PRESS Cambridge‚ New York‚ Melbourne‚ Madrid‚ Cape Town‚ Singapore‚ São Paulo Cambridge University Press The Edinburgh Building‚ Cambridge CB2 8RU‚ UK Published in the United States of America by Cambridge University Press‚ New York www.cambridge.org Information on this title: www.cambridge.org/9780521890779 © Cambridge University
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MATH 1003 Calculus and Linear Algebra (Lecture 1) Albert Ku HKUST Mathematics Department Albert Ku (HKUST) MATH 1003 1 / 18 Outline 1 About MATH 1003 2 Mathematics of Finance 3 Simple Interest Albert Ku (HKUST) MATH 1003 2 / 18 About MATH 1003 About MATH 1003 Lecturer: Albert Ku (Office: Rm 3492. E-mail: maybku@ust.hk) Teaching assistant: Dy Chun Yin‚ Li Xing‚ Lau Hing Sang and Wong Kwok Pang Office hours at Learning Commons: Fri 10:00-noon Textbook:
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trigonometry by defining trigonometry functions as ratios rather than lengths of lines. Another Astronomer from Sweden discovered logarithms‚ and then another large step in Trigonometry was made by Isaac Newton whom founded differential and integral calculus. The history of Trigonometry came about mainly due to the purposes of time keeping and astronomy. Four different careers that use trigonometry are Sailors‚ Astronomy‚ Architects‚ and Surveyors. Sailors use trigonometry for geography and
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------------------------------------------------- Calculus: An Introduction to Limits ------------------------------------------------- Intuitive Look A limit looks at what happens to a function when the input approaches a certain value. The general notation for a limit is as follows: This is read as "The limit of of as approaches ". We’ll take up later the question of how we can determine whether a limit exists for at and‚ if so‚ what it is. For now‚ we’ll look at it from an intuitive
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