1. The document discusses various mathematical concepts including modeling with linear equations, word problems involving percentages, common formulas, and solving for variables.
2. It provides examples of how to translate word problems into algebraic expressions and equations, including problems involving sales prices, percentages, revenue, and determining a home purchase price based on commission.
3. The document demonstrates techniques for solving different types of equations for a specified variable, such as factoring, reversing computational steps, and isolating the variable.
The document discusses various techniques for evaluating indefinite integrals (antiderivatives), including:
1) Using power rules to evaluate basic integrals like 〈 4x3 dx = x4 + C
2) Expanding rational or negative exponents before integrating
3) Expanding expressions before integrating term by term
4) Simplifying rational expressions by factoring and canceling before integrating
5) Setting up word problems involving integrals to find related functions like total cost, revenue, distance over time.
Sarah always tells the truth, Sue always lies, and Sally sometimes lies and sometimes tells the truth. When Victor asked each sister a question to identify them, Sarah correctly identified herself as being on the left, Sally identified herself as being in the middle, and Sue identified the middle sister as herself, confusing Victor as to their identities.
This document provides the syllabus for a basic calculus course offered in the spring of 2013. It lists the course sections with their meeting times and locations, the instructor's contact information, a course description, grading policies, textbook and calculator requirements, exam dates and policies, and other course policies regarding attendance, disabilities, tutoring, and academic integrity.
This document explains the Euler characteristic theorem, which states that for any connected planar graph, the number of vertices (V) minus the number of edges (E) plus the number of faces (F) equals 2. It provides examples of doodling and origami to demonstrate that V - E + F = 2. It also discusses Leonhard Euler's proof of this theorem, building on earlier observations by Ren└ Descartes. Examples of the theorem applied to the five Platonic solids are given.
A composition of functions involves an "inside function" and an "outside function", where the inside function g is plugged into the outside function f. The chain rule is used when taking the derivative of a composition of functions. Problems may use more than one derivative rule when solving.
The document discusses various techniques for finding antiderivatives (indefinite integrals). It covers:
1) Using the power rule to find antiderivatives by increasing the exponent by 1 and dividing by the new exponent.
2) Rewriting expressions with rational or negative exponents before taking the antiderivative.
3) Expanding expressions, like using FOIL, before taking the antiderivative term by term.
4) Simplifying expressions, like factoring, before taking the antiderivative.
5) Setting up and solving word problems involving antiderivatives to find functions for quantities like profit, distance, and rate of change.
This document provides information about the MATH 161 Introduction to Statistics course offered in Spring 2016. It outlines the course sections, times, locations, instructor contact information, course content and objectives, student responsibilities, evaluation criteria including assignments, projects, exams and grading scale, key dates, policies on academic integrity and students with disabilities. The goal of the course is to provide students with a general statistical background to understand probabilities and statistics reported in media and research.
Summer 2014 moseley 098 syllabus addendumJeneva Clark
?
This document provides the syllabus addendum for an Elementary Algebra course. It outlines the course details including schedule, location, office hours, and instructor contact information. It describes the university mission statement, catalog description, purpose and objectives of the course. It outlines the student responsibilities and the evaluation criteria including exams, grading scale, attendance policy, and academic integrity policy. It also notes services available for students with disabilities.
This document contains 10 multiple choice questions about finding the equation of lines given characteristics like two points on the line, a point and slope, or a point and being parallel or perpendicular to another line. The questions ask the learner to determine the equation for lines matching each given description.
This document contains homework problems involving algebraic expressions and functions. Problem 1 asks to evaluate expressions involving square roots. Problem 2 asks to identify the meaning of an equality involving a function. Problems 3-5 ask to evaluate and simplify expressions involving square roots and composite functions. Problem 6 asks to find two functions whose composition is a given function.
This document contains 10 math and functions questions: questions 1-5 ask to find values of x for which certain equations are true, questions 6 asks to identify which sentence correctly describes functions, and questions 7-10 ask to find values of expressions given values of variables.
This document contains 10 multiple choice and short answer questions that assess understanding of functions and function notation. Questions 1 and 2 ask students to identify which charts and ordered pairs represent functions. Questions 3-7 require students to evaluate specific functions for given input values. Questions 8-10 deal with piecewise functions, asking students to evaluate expressions and find output values.
This homework assignment contains 10 algebra problems to solve using different techniques: problems 1-4 involve factoring quadratic equations; problems 5-6 require extracting the square root of equations to find exact solutions; problems 7-8 involve finding the discriminant of equations to determine the number of real solutions; and problems 9-10 should be solved using the quadratic formula.
This document contains 10 math homework problems from a College Algebra 1 class taught by Dr. Moseley. The problems include finding x-intercepts and y-intercepts of linear equations, writing expressions for distance and discounted prices, solving equations for unknown numbers, calculating original prices from sale prices, finding required test scores to get a grade average, calculating trip times with constant speed, and finding dimensions of a picture frame given its perimeter and a ratio of its width to height.
Este documento contiene 10 problemas de │lgebra de una tarea de matem│ticas 111. Los problemas incluyen ecuaciones, funciones y expresiones algebraicas que deben resolverse.
El documento contiene la tarea de │lgebra de la universidad con 19 problemas num└ricos y una lista de letras may┣sculas como posibles respuestas. El profesor asignado es el Dr. Moseley para la clase de Matem│ticas 111 de ?lgebra Universitaria.
This document contains a math homework assignment on polynomials and FOIL method. It includes definitions of polynomial terms, instructions to perform operations using FOIL, and word problems involving costs and revenues from producing MP3 players to calculate profit.
Este documento contiene un conjunto de ejercicios de │lgebra sobre ra┴ces cuadradas. Los estudiantes deben calcular valores de ra┴ces cuadradas simples y compuestas, simplificar expresiones con ra┴ces cuadradas, y convertir expresiones entre formas radical y exponencial. El documento proporciona valores num└ricos y letras para ser usados en las respuestas de opci┏n m┣ltiple.
This document contains a math homework assignment with 38 problems involving exponents, radicals, and simplifying expressions. Students are asked to identify components of exponential and radical expressions, evaluate expressions, and simplify expressions using properties of exponents. They will rewrite expressions with positive exponents and find values of expressions for given variables.
This document contains a list of 43 questions about concepts in college algebra including: 1) numbers with non-repeating decimal representations, 2) properties of real numbers and their representations on a number line, 3) classifying numbers as natural, whole, integer, rational, irrational or real, 4) evaluating algebraic expressions, and 5) finding distances between points on a number line. Students are instructed to submit their answers on Moodle by the specified due date.
Dr. Lauren "Jeneva" Moseley's fall 2013 schedule is available by viewing her Google calendar online at https://www.google.com/calendar/embed?src=jenevamoseley%40gmail.com&ctz=America/New_York. Her contact information includes her email address LMOSELEY@LeeUniversity.edu and phone number 423-614-8283.
This document is a syllabus for a summer 2013 Math 113 course. It provides information about course details
such as meeting times and location, instructor contact information, course description and goals, required text,
grading scale, exam dates, attendance and make-up policies, academic honesty, and classroom expectations. The
course covers classical and modern topics in number theory, logic, geometry, and probability with an emphasis
on problem solving and real-world applications. Grades are based on 4 exams, projects, and a final exam.
Two friends had a meal that cost $25 total and each paid $15, but the cashier returned $5 in change to the waiter. The waiter kept $3 as a tip and returned $1 to each friend. While the friends paid $14 each, totaling $28, and the waiter received $3, this accounts for $31 of the original $25 bill, with $1 unaccounted for.
A traveler comes to a fork in the road guarded by two figures, one who always lies and one who always tells the truth. The traveler can ask one guard one question to determine which path leads to paradise. By asking which path the other guard would claim leads to paradise, the traveler will be directed to the correct path regardless of whether they asked the truth-teller or liar.
A man makes three concentric beer rings on a bar by placing his glass down three times carefully. The bartender thinks the overlapping area of the three rings is less than one-fourth of the area of a single ring, but the customer claims it is more than one-fourth. They disagree on the proportion of overlapping area.
This document provides information about the MATH 161 Introduction to Statistics course offered in Spring 2016. It outlines the course sections, times, locations, instructor contact information, course content and objectives, student responsibilities, evaluation criteria including assignments, projects, exams and grading scale, key dates, policies on academic integrity and students with disabilities. The goal of the course is to provide students with a general statistical background to understand probabilities and statistics reported in media and research.
Summer 2014 moseley 098 syllabus addendumJeneva Clark
?
This document provides the syllabus addendum for an Elementary Algebra course. It outlines the course details including schedule, location, office hours, and instructor contact information. It describes the university mission statement, catalog description, purpose and objectives of the course. It outlines the student responsibilities and the evaluation criteria including exams, grading scale, attendance policy, and academic integrity policy. It also notes services available for students with disabilities.
This document contains 10 multiple choice questions about finding the equation of lines given characteristics like two points on the line, a point and slope, or a point and being parallel or perpendicular to another line. The questions ask the learner to determine the equation for lines matching each given description.
This document contains homework problems involving algebraic expressions and functions. Problem 1 asks to evaluate expressions involving square roots. Problem 2 asks to identify the meaning of an equality involving a function. Problems 3-5 ask to evaluate and simplify expressions involving square roots and composite functions. Problem 6 asks to find two functions whose composition is a given function.
This document contains 10 math and functions questions: questions 1-5 ask to find values of x for which certain equations are true, questions 6 asks to identify which sentence correctly describes functions, and questions 7-10 ask to find values of expressions given values of variables.
This document contains 10 multiple choice and short answer questions that assess understanding of functions and function notation. Questions 1 and 2 ask students to identify which charts and ordered pairs represent functions. Questions 3-7 require students to evaluate specific functions for given input values. Questions 8-10 deal with piecewise functions, asking students to evaluate expressions and find output values.
This homework assignment contains 10 algebra problems to solve using different techniques: problems 1-4 involve factoring quadratic equations; problems 5-6 require extracting the square root of equations to find exact solutions; problems 7-8 involve finding the discriminant of equations to determine the number of real solutions; and problems 9-10 should be solved using the quadratic formula.
This document contains 10 math homework problems from a College Algebra 1 class taught by Dr. Moseley. The problems include finding x-intercepts and y-intercepts of linear equations, writing expressions for distance and discounted prices, solving equations for unknown numbers, calculating original prices from sale prices, finding required test scores to get a grade average, calculating trip times with constant speed, and finding dimensions of a picture frame given its perimeter and a ratio of its width to height.
Este documento contiene 10 problemas de │lgebra de una tarea de matem│ticas 111. Los problemas incluyen ecuaciones, funciones y expresiones algebraicas que deben resolverse.
El documento contiene la tarea de │lgebra de la universidad con 19 problemas num└ricos y una lista de letras may┣sculas como posibles respuestas. El profesor asignado es el Dr. Moseley para la clase de Matem│ticas 111 de ?lgebra Universitaria.
This document contains a math homework assignment on polynomials and FOIL method. It includes definitions of polynomial terms, instructions to perform operations using FOIL, and word problems involving costs and revenues from producing MP3 players to calculate profit.
Este documento contiene un conjunto de ejercicios de │lgebra sobre ra┴ces cuadradas. Los estudiantes deben calcular valores de ra┴ces cuadradas simples y compuestas, simplificar expresiones con ra┴ces cuadradas, y convertir expresiones entre formas radical y exponencial. El documento proporciona valores num└ricos y letras para ser usados en las respuestas de opci┏n m┣ltiple.
This document contains a math homework assignment with 38 problems involving exponents, radicals, and simplifying expressions. Students are asked to identify components of exponential and radical expressions, evaluate expressions, and simplify expressions using properties of exponents. They will rewrite expressions with positive exponents and find values of expressions for given variables.
This document contains a list of 43 questions about concepts in college algebra including: 1) numbers with non-repeating decimal representations, 2) properties of real numbers and their representations on a number line, 3) classifying numbers as natural, whole, integer, rational, irrational or real, 4) evaluating algebraic expressions, and 5) finding distances between points on a number line. Students are instructed to submit their answers on Moodle by the specified due date.
Dr. Lauren "Jeneva" Moseley's fall 2013 schedule is available by viewing her Google calendar online at https://www.google.com/calendar/embed?src=jenevamoseley%40gmail.com&ctz=America/New_York. Her contact information includes her email address LMOSELEY@LeeUniversity.edu and phone number 423-614-8283.
This document is a syllabus for a summer 2013 Math 113 course. It provides information about course details
such as meeting times and location, instructor contact information, course description and goals, required text,
grading scale, exam dates, attendance and make-up policies, academic honesty, and classroom expectations. The
course covers classical and modern topics in number theory, logic, geometry, and probability with an emphasis
on problem solving and real-world applications. Grades are based on 4 exams, projects, and a final exam.
Two friends had a meal that cost $25 total and each paid $15, but the cashier returned $5 in change to the waiter. The waiter kept $3 as a tip and returned $1 to each friend. While the friends paid $14 each, totaling $28, and the waiter received $3, this accounts for $31 of the original $25 bill, with $1 unaccounted for.
A traveler comes to a fork in the road guarded by two figures, one who always lies and one who always tells the truth. The traveler can ask one guard one question to determine which path leads to paradise. By asking which path the other guard would claim leads to paradise, the traveler will be directed to the correct path regardless of whether they asked the truth-teller or liar.
A man makes three concentric beer rings on a bar by placing his glass down three times carefully. The bartender thinks the overlapping area of the three rings is less than one-fourth of the area of a single ring, but the customer claims it is more than one-fourth. They disagree on the proportion of overlapping area.