FHMM1014 MATHEMATICS 1 TUTORIAL 2 POLYNOMIAL 2.1 Remainder Theorem and Factor Theorem 1. Find the remainder when the following polynomial is divided by the given linear function. (a) (c) x 4 3 x 3 5 x; (e) 2. x 3 2 x 4; x 2 ax b; x 1 2x 1 xc (b) x 3 3 x 2 6 x 2; (d) 9 x 5 5 x 2 4; (f) x 3 2 x 2 6; x2 3x 1 xa Factorize completely the following expressions. (a) x3 2x 2 x 2 (b) x3 x 2 x 2 (c) x4 1 (d) x 4 x 3 3x 2 4 x 4
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Introduction to Programming Logic Phillip M. Ragland June 20, 2016 Individual Projects Document Noura Abbas Individual Project 1 There are many steps and processes to consider when designing a website for a customer. Regardless if the customer is an individual or a large corporation, the steps and processes for designing a website are pretty much the same. Each website that is designed with similar specifications. However, when it comes to the design aspects of a website
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15.2.2016 Reduction SAT Problem Group 1 1 Reduction 2 Reduction an important concept for understanding the relationship between problems. 3 solving one problem in terms of another Example : Suppose you have some problem A that you don’t know how to solve. If you can find a way to reduce problem A to some problem B that you do know how to solve, then that’s just as good as finding a way to solve A in the first place. 4 SORTING: Input: A sequence of
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III. Matrices Definition III.1 An m × n matrix is a set of numbers arranged in a rectangular array having m rows and n columns. It is written A11 A12 · · · A1n A21 A22 · · · A12 A= . . . .. . . . . . . . Am1 Am2 · · · Amn There are two important special cases. A 1 × n matrix (that is, a matrix with 1 row) is called a row vector. An m × 1 matrix (that is, a matrix with 1 column) is called a column vector. Our convention will be that row indices are always written
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Feedback Student 1. Pre-assessment feedback: You did a good job on the first 4 questions. You know the first step for solving inequalities, i.e. you know which numbers to add, subtract, multiply, and divide to solve inequalities. That’s a good start. There are several things you need to learn: how to graph inequalities on the number line and use number line to find the solution of inequalities; how to interpret the word sentences into mathematical language involving inequalities; how to identify
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Bachelor of Science in Information Technology (BScIT) – Semester 1/ Diploma in Information Technology (DIT) – Semester 1 BT0064 – Digital Logic ------------------------------------------------- Assignment Set – 1 Q1. Convert the following octal numbers to base 10 a. 273 Answer: 187 b. 1021 Answer: 529 Q2. What is a logic gate? Answer: When we deal with logical circuits (as in computers), we not only need to deal with logical functions; we also need some special symbols
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Systems of Linear Equations in Three Variables Answer the following questions to complete this lab. Show all of your work for each question to get full credit. 1. Solve the following system of equations: a. x –2y+z=6 b. 2x+y –3z= –3 c. x –3y+3z=10 Add equation b and c: 2X+Y-3Z=-3 +X +3Y+3Z=10= 3X-2Y=7 Add equation a and c, attempting to cancel out variable c. (multiply equation a by -3. -3(x-2Y+Z=6): -3X+6Y-3Z=-18 + X-3Y+3Z=10 = -2X+3Y=-8 Add the new equations together
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1. Solve the inequality 12x + 11 > 3x - 1 2. Find the gradient of the curve with equation: 3. The sequence of values given by the Iterative formula 2x2 - 4xy + 31 = 9 at the point (2,1) + 1 = 2. (xn +_1_ ) 2 3 Xn with initial value x I = 1 converges to a. Xn (i) Use this formula to find a correct to 2 d.p, showing the result of each iteration. (ii) State an equation satisfied by a, and hence fmd the exact value of a. 4. Express sine -J3 cose
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UNDERSTANDING BOOLEAN LOGIC AND ITS APPLICATIONS In the 1800’s (1815-1864), George Boole, a English mathematician who did extensive work in the subject of logic, invented a system of mathematics in which the abstract concepts of true and false can be used in computations. In an attempt to create a new form of mathematics, Mr. Boole identified certain patterns of logic that were later found to be easily translated into an electronic language—essentially, a "switchon/switchoff" pattern. Today
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Database Design DBM 380 | | Databases Databases are electronic filing systems that consist of objects (Microsoft, para 2.) providing a quicker means to data retrieval than traditional paper and pen models. They have more flexibility than standard spreadsheets and offer the ability to run query searches. A properly designed database can retrieve items in complex searches; a task that might take hours or days manually, in a matter of minutes. Databases are designed to store large amounts
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