Pre-Calculus Module 3 Chap. 7.1 2. If 8. Find 26. Find the remaining five trig functions of . 34. Match the columns. 38. Match the columns. 56. Write each expression in terms of sin and cosine‚ and simplify. Chap 7.2 2. Perform each operation and simplify. )cos 18. Factor each trig expression. 26. Use fundamental identities to simplify. 36. Verify is an identity
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MATHEMATICAL FORMULAE Algebra 1. (a + b)2 = a2 + 2ab + b2 ; a2 + b2 = (a + b)2 − 2ab 2. (a − b)2 = a2 − 2ab + b2 ; a2 + b2 = (a − b)2 + 2ab 3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) 4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b) 5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b) 6. a2 − b2 = (a + b)(a − b) 7. a3 − b3 = (a − b)(a2 + ab + b2 ) 8. a3 + b3 = (a + b)(a2 − ab + b2 ) 9. an − bn = (a − b)(an−1 + an−2 b + an−3 b2 + · · · + bn−1 ) 10
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Independent Project Description This is a test to see how accurate and creative you can be with a common dataset. Use the data set supplied (hypertension‚ diabetes‚ cholesterol in subjects‚ including medication‚ weight‚ age‚ etc) in Docsharing and using Excel‚ provide the following for the variable(s) of your choice: 1. Frequency distribution of a variable and bar graph of the same variable 2. Descriptive statistics of a continuous dataset: mean‚ median‚ mode‚ skewness‚ kurtosis‚ standard
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[pic] GSM 5000 MANAGERIAL ECONOMICS Problem Based Learning Lecturer : Dr. WAN AZMAN SAINI WAN NGAH By: Khong Yeen Lai GM 04349 PROBLEM BASED LEARNING: GSM5000 (MANAGERIAL ECONOMICS) GROUP 1 No. 1 You have been appointed as a member of a consultation team who is working on this very important assignment for a soft drink company. The main task is to evaluate
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1. The set of all integers x such that |x – 3| < 2 is equal to (a) {1‚ 2‚ 3‚ 4‚ 5} (b) {1‚ 2‚ 3‚ 4} (c) {2‚ 3‚ 4} (d) {-4‚ -3‚ -2} 2. The Range of the function f(x) = x 2 2 x − − is (a) R (b) R – {1} (c) (-1) (d) R – {-1} 3. The value of (i)i is (a) ω (b) ω2 (c) e-π/2 (d) 2√2 4. ( ) ( ) 4 5 cos isin icos sin θ + θ θ + θ is equal to (a) cos− isin θ (b) cos9θ − isin9θ (c) sin θ − icosθ (d) sin 9θ − icos9θ 5. The roots of the quadratic equation ax2 + bx + c = 0 will be reciprocal
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Real World Quadratic Functions MAT222: Intermediate Algebra Argenia L. McCray Professor: Eric Bienstock October 27‚ 2014 Quadratic Functions This week we have been learning the many different quadratic functions. Throughout the world the quadratic functions are being used / or being implicated into their system of employment‚ business‚ and in all schools. To say that the quadratic function has limited/ or less of it many possibilities which is available to be used in solving
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Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary over time. These variables include things like the relationship between supply of an object and its price. When we use a mathematical statement to describe a relationship‚ we often use letters to represent the quantity that varies‚ since it is not a fixed amount. These letters and symbols are referred to as variables. (See the Appendix One for a brief review of constants and variables
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Castle Rock Donna K. Martin MAT221: Introduction to Algebra 11/18/2013 Instructor: Vallory Shearer Buried treasure. Ahmed has half of a treasure map‚ which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure‚ one must get to Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share their information‚ then they can find x and
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Jasmine Chai Grade 10 196298501 Patterns within systems of linear equations Systems of linear equations are a collection of linear equations that are related by having one solution‚ no solution or many solutions. A solution is the point of intersection between the two or more lines that are described by the linear equation. Consider the following equations: x + 2y = 3 and 2x – y = -4. These equations are an example of a 2x2 system due to the two unknown variables (x and y) it has. In one of
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Assignment 4 Question 1 How much money a consumer is willing to pay for each of the attributes? This is of course not really possible‚ as a laptop without a hard disk or a CPU is a useless laptop. However‚ what you can describe is how much one is usually willing to pay to upgrade a laptop with one unit of the attribute. You can derive the willingness to pay for an attribute pay comparing the gain in utility from an attribute by the payment that compensates this gain in utility. In other words
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