Math 111 Homework 1 fall 2007 due 14/9 1. (1.2; 17) Determine the values of h such that the matrix is the augmented matrix of a system which admits a solution. 2 3 4 6 h 7 2. (1.2; 12) Find the general solutions of the system whose augmented matrix is 1 −7 0 6 5 0 0 1 −2 −3 −1 7 −4 2 7 1 −2 4 3. (1.3; 17) Let a1 = 4 ‚ a2 = −3 ‚ b = 1 . For what −2 7 h value(s) of h is b in the plane spanned by a1 and a2? 4. (1.4; 15) Let A = b1 2 −1 and b = . Show that the equation
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On the side of his house‚ a man is going to build two enclosures. One enclosure for a garden and another enclosure to keep his dogs in so the dogs aren’t roaming around. It is illegal to have any dogs roaming around. He bought 180ft of fence to use and one side is already existing. Refer to the picture on the next page. Since there are three short sides and one long side‚ to set up the perimeter‚ the short sides will be x and the long side will be y. So the equation is 3x + y = 180. The 180 comes
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I’s complement. Binary codes - BCD code‚ Excess 3 code‚ Gray code‚ Alphanumeric code‚ Error detection codes‚ Error correcting code. Module II - Logic Gates and Boolean Algebra. Logic Gates - Basic logic gates- AND‚ OR‚ NOT‚ NAND‚ NOR‚ Exclusive OR‚ Exclusive NOR gates- Logic symbols‚ truth table and timing diagrams. Boolean Algebra - Basic laws and theorems ‚ Boolean functions‚ truth table‚ minimization of boolean function using K map method‚ Realization using logic gates and universal gates. Module
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Algebra 2 Winter Break Homework Assignment Today in class you were given the results of your practice Explore test as well as your practice placement exam. You were also given the Answer Key for the practice placement exam. In order to help you better prepare for both the Cumulative Exam and the actual Stevenson placement exam‚ you are being assigned the following homework over winter break. In Schoology you will find a review packet covering all of the material we have learned since the
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Stephens and Noushin Seddighzadeh. I have since realized these two professors pushed me in different and unique ways‚ many of which I am still discovering today. It was my first day of college and I was so terrified. My first class was Intermediate Algebra. I arrived extra early so I would not worry
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familiarized with the fundamentals of digital logic and understanding the basics of designing circuits with digital components. The first four weeks of the course is devoted to the theoretical foundations of digital circuits – namely Boolean algebra. Following in the next three weeks‚ fundamental combinational components like adders‚ subtractors and multiplexors are taught. Derivation of I/O functions and generation of timing diagrams are studied. In the next stage‚ sequential components starting
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In Andrew Hacker’s “ Is Algebra Necessary?” he talks about the mathematics education system taught to students. Mr. Hacker says too much pressure is placed on students to excel at a high level of algebra. In fact‚ California’s two university systems only consider applicants who have taken three years of mathematics. In addition‚ many community colleges and Ivy Leagues look for a score of seven-hundred on the math section of the SAT. Only 9 percent of men and 3 percent of women attained that score
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PROVING IDENTITIES Proving Identities Proving an identity is simply verifying that one member of the equation is identically equal to the other member. It is important to know that there is no general rule in proving an identity. The proper choice of the fundamental identities and algebraic operations will certainly make the verification process easier. Mathematical competence and familiarity with the fundamental identities are the basic tools that will greatly facilitate the transformations
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Arithmetic is the ABC of math. Addition‚ subtraction‚ multiplication‚ and division are the basics of math and every math operation known to humankind. In one way or another‚ every equation‚ graph‚ and an enormous amount of other things can be broken down into the ABC’s of math‚ the four basic operations. As people say‚ math is a language‚ and addition subtraction‚ multiplication‚ and division are its alphabet‚ along with the number line as well. The properties are basically‚ proven ways to apply
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Graded Assignment Unit Test‚ Part 2: Polynomials and Power Functions Answer the questions and show your work. When you are finished‚ submit this assignment to your teacher through the appropriate dropbox basket. (3 pts) 1.) Factor 100x^2 – 49 to factor‚ use the difference of squares formula‚ because both the terms are perfect squares the difference of squares formula is a^2 – b^2 = (a-b)(a+b) therefore 100x^2 – 49 = (10x)^2 – 7^2 = (10x – 7)(10x +7) (5 pts) 2.) Solve x^2 –
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