____________ Comments _____________________ MAT117 Quiz 4 - Applications Chapter 11 10 problems – 5 points each 50 points possible Solve all problems and attach your solutions document in your Assignment Section Remember to use Equation Editor or MathType when appropriate. Remember to check your steps carefully. Please use the rightmost column to show your steps. CorrectSolution? | Appropriate Steps Shown? | Credit Earned per Problem | Y | Y | Full Credit | Y | N | Partial
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This week’s assignment involves a method of solving a quadratic equation that purports to have originated from India. I shall use this methodology to complete (a) and (c)‚ as assigned. I shall also complete an assignment involving a previously derived formula that may yield prime numbers . I shall conclude the assignment with a summary of what I have learned in completing the two assigned projects. Project 1: (a) Solve: x2 – 2x – 13 = 0 using the 6 step method described on page 331 of Mathematics
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item. KNOWLEDGE ______ Which of the following value of k would make the polynomial a perfect square trinomial? A. 7 B. 8 C. 40 D. 49 ______What number must be added to in order to make it a perfect square trinomial? A. B. C. D. _____Which of the following is not a perfect square trinomial? A. C. B. D. _____Which of the following pairs of values of x satisfies the equation ? A. -7 and -4 B. -7 and 4 C. 7 and 4 D. 7 and -4 _____A rectangular deck is y yard wide
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MAPÚA INSTITUTE OF TECHNOLOGY Department of Mathematics VISION The Mapua Institute of Technology shall be a global center of excellence in education by providing instructions that are current in content and state-of-the-art in delivery; by engaging in cutting-edge‚ high impact research; and by aggressively taking on present-day global concerns. MISSION a. The Mapua Institute of Technology disseminates‚ generates‚ preserves and applies knowledge in various fields of study. b. The Institute
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of coefficient system of linear equations. Leibnitz‚ one of the founders of calculus used determinant in 1693 an Cramer presented his determinant - based formula system of solving linear equations (known as Cramer’s’ rule) in 1750. In 1848‚ James J Sylvester introduced the term “matrix” which was Latin word for Womb‚ as a name of an array of numbers. Historically‚ however eigenvalue and eigenvectors arose in the study of quadratic forms and differential equations. Euler studied the rotational motion
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0) - x and y are called two variables. 2. Linear system of inequality in two variables can be written in the form: a x + b y a x + b y p a x + b y p a x + b y p 3. The special products help us factor polynomials Difference of Squares: a2 − b2 = (a + b)(a − b) Example: X 2 – 16 = ( X + 4 ) ( X – 4 ) Week 3 - Discussion 1. Compare fractions and rational expressions.
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Equations Reducible to Quadratic Equations Exercise 4.2 Solve the following equations: 1. x 4 − 6 x 2 + 8 = 0 Solution: x4 − 6 x2 + 8 = 0 Let y = x 2 and y 2 = x 4 The above equation becomes: y 2 − 6 y + 8 = 0 y2 − 6 y + 8 = 0 y2 − 4 y − 2 y + 8 = 0 y ( y − 4) − 2( y − 4) = 0 ( y − 2)( y − 4) = 0 y − 2 = 0 and y − 4 = 0 y=2 y=4 2 As‚ y = x x2 = 2 x2 = 4 x = ±2 x=± 2 solution set = { 2‚ − 2‚ 2‚ −2} 2. x −2 − 10 = 3 x−1 Solution: x −2 − 10 = 3 x −1 x −2 − 3 x −1 − 10 = 0 Let
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Dq 2 week 1 I would explain that when multiplying polynomial is when all the variables have integer exponents that are positive. This works with addition‚ subtraction and multiplication. It has to be possible to write the equation without division for it to be a polynomial. This is an example of what a polynomial looks like: 4xy2+3X-5. To multiply two polynomials‚ you must multiply each term in one polynomial by each term in the other polynomial‚ and then add the two answers together. After
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COURSE OUTLINE FACULTY OF TECHNOLOGY COURSE NAME: MATHEMATICS FOR INFORMATION AND MECHANICAL TECHNOLOGY COURSE CODE: MATH 1071 CREDIT HOURS: 42 (14 weeks at 3h/week) PREREQUISITES: NONE COREQUISITES: NONE PLAR ELIGIBLE: YES ( X ) NO ( ) EFFECTIVE DATE: SEPTEMBER 2013 PROFESSOR: Tanya Holtzman Ext. 6335 EMAIL: tholtzma@ georgebrown.ca Richard Gruchalla Ext. 6649 EMAIL: rgruchal@georgebrown.ca Shenouda Gad
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MULTIPLE REGRESSION After completing this chapter‚ you should be able to: understand model building using multiple regression analysis apply multiple regression analysis to business decision-making situations analyze and interpret the computer output for a multiple regression model test the significance of the independent variables in a multiple regression model use variable transformations to model nonlinear relationships recognize potential problems in multiple
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