Third partial exam Integral Calculus EM13 - solutions
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This document contains solutions to problems from a third partial exam. It lists 4 problems, each with a function f(x) and g(x) defined, likely algebra problems solving for where the two functions are equal.
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Project Leader: Lim Jun Hao
Associate Editor: Lai Zhi Jun
Associate Project Editor: Siaw Jia Qi
Senior Managing Editor: Lim Jun Hao
Production Coordinator: Ooi Ming Yang
Cover Design: Ooi Hian Gee
Cover image: Pixabay
A collaboration work by Faculty of Science, University of Malaya Applied
Mathematics undergraduate students.
Copyright © 2020 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written
permission of the publisher. The work is published in electronic form only. For
information on obtaining permission for use of material in this work, please email us
at ooi_hiangee@yahoo.com.
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Project Leader: Lim Jun Hao
Associate Editor: Lai Zhi Jun
Associate Project Editor: Siaw Jia Qi
Senior Managing Editor: Lim Jun Hao
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Cover Design: Ooi Hian Gee
Cover image: Pixabay
A collaboration work by Faculty of Science, University of Malaya Applied
Mathematics undergraduate students.
Copyright © 2020 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written
permission of the publisher. The work is published in electronic form only. For
information on obtaining permission for use of material in this work, please email us
at ooi_hiangee@yahoo.com.
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GCF and LCM Problem Solving
This document discusses when to use the greatest common factor (GCF) or least common multiple (LCM) to solve word problems. It provides examples of GCF and LCM problems and then presents 6 sample word problems, asking the reader to identify whether each uses GCF or LCM. The document also provides the answers, identifying problems 1, 2, and 6 as GCF problems and problems 3, 4, and 5 as LCM problems. It includes additional examples of GCF and LCM word problems.
Pm6007 class activity feb 21 solutions
Esta es la solución a la actividad de mi curso de Cálculo diferencial del día 21 de febrero de 2013
First partial exam – solutions
Powerpoint con la solución de mi primer examen parcial de mi curso de Cálculo integral del semestre Enero - mayo de 2013.
DiffCalculus: September 19, 2012
The document describes how to find the dimensions of a rectangle with the largest area that can be made from a 1 meter string. It involves:
1) Drawing a picture of the rectangle with base x;
2) Using the perimeter formula to write the height in terms of x;
3) Writing the area formula in terms of x; and
4) Setting the area formula equal to zero and solving for x to find the maximum base length.
DiffCalculus: September 18, 2012
This document discusses trigonometric limits and provides examples. It outlines important limits such as the limits of sine, cosine, and tangent as the angle approaches 0. Examples are given to demonstrate how to evaluate various trigonometric limits. The document concludes with homework problems and additional examples for practice.
DiffCalculus: September 17, 2012
The document discusses limits and examples of evaluating limits. It covers rewriting functions when the limit is an indeterminate form of 0/0. Examples are provided of evaluating limits by sketching graphs or using left and right evaluations for values close to x. Methods like algebra, graphing, or left/right evaluations are presented for determining limits.
DiffCalculus: September 11, 2012
The document provides examples of composition of functions. It gives the functions f(x) = 4 - x^2 and g(x) = sqrt(x) and calculates their composition, as well as finding the domain of each case. It then gives another example with the functions f(x) = sqrt(x) and g(x) = x^2 - 4, and again calculates their composition and domains. It provides exercises to calculate additional compositions of functions and their domains.
DiffCalculus: September 12, 2012
The document discusses limits in mathematics. It defines a limit as the intended height of a function as values get closer and closer to a given number. Examples are provided of evaluating limits, including finding limits of expressions as x approaches 1 and determining whether limits exist or are infinite. Common types of limits like one-sided limits and limits at infinity are also mentioned.
DiffCalculus: September 10, 2012
The document provides examples of functions and calculations involving functions. It gives the functions f(x) and g(x) and calculates f(x) + g(x), f(x) - g(x), and f(x)/g(x). It also finds the domain and range for each example, without graphing in one case. The document covers algebra of functions and composition of functions.
DiffCalculus: August 27, 2012
The document discusses piecewise defined functions. It defines a piecewise function as one where the function definition changes depending on the interval of x-values. It provides examples of sketching piecewise functions and finding their domains and ranges. Specifically, it gives the examples of the functions y=-2, f(x)=2x for -2<=x<=3, and g(x)=-(3/2)x+1. It also defines a piecewise function as having different expressions on various intervals.
DiffCalculus Week 3
Estas son la mayoría de las transparencias de mi curso de Cálculo Diferencial del semestre Agosto-diciembre de 2012.
DiffCalculus August 13, 2012
The document reviews trigonometry concepts including the unit circle and finding trigonometric functions of special angles. It provides examples of the unit circle with coordinates marked around it and homework problems involving finding the trigonometric functions of various angles in radians and degrees. The review is intended to help remember things learned in trigonometry class.
DiffCalculus August 9, 2012
The document provides examples and explanations of operations with fractions, including adding, subtracting, multiplying, and dividing fractions. It also explains how to rationalize the denominator of a fraction by moving a root from the bottom of a fraction to the top. Some examples of rationalizing denominators are shown. Finally, it lists some exercises involving solving equations, rationalizing denominators, and performing operations with fractions.
DiffCalculus August 7, 2012
Estas son las transparencias del segundo día de mi curso de Cálculo diferencial de Agosto-diciembre de 2012.
First Day
Este es el keynote de mi primer día de clases del curso de Cálculo diferencial del semestre Agosto-diciembre de 2012.
Tengo 10 minutos v. 1.1
Siguiendo el ejemplo de Darren Kuropatwa, este es el slidecast de mi keynote presentado en la reunión Jornada Educativa el 31 de julio de 2012 en el Instituto Tecnológico y de Estudios Superiores de Monterrey, Campus Central de Veracruz
Update:
Agh. Puse 31 de agosto de 2012, cuando debió haber dicho 31 de julio de 2012 :-(
Tengo 10 minutos
Esta es la primer versión de mi keynote Tengo 10 minutos.
Es una plática, estilo Darren Kuropatwa, ya que compartiré mis experiencias con el uso de la tecnología en mis clases.
Tomé bastante del prof. Kuropatwa, como se puede ver ;-)
Update:
Agh. Puse 31 de agosto de 2012, cuando debió haber dicho 31 de julio de 2012 :-(
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