factoring‚ absolute value‚ rational expressions‚ equations (linear‚ quadratic‚ radical‚ rational)‚ systems of equations‚ inequalities‚ functions‚ graphs of quadratic and linear equations and inequalities in two variables‚ complex numbers and applications. 2. Learning Outcomes Upon successful completion of this course‚ students will be able to: 1. perform operations involving polynomials and factoring polynomials 2. solve and graph equations and inequalities such as linear‚ absolute value
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fraction of excess demand‚ find out the time path of price and also the intertemporal equilibrium price. (6) b)[pic]Solve the following exact differential equation: [pic] (3) c) Using Bernoulli Linearization‚ solve the following differential equation: [pic] (3) d) Using the same equation‚ see whether the separable variable method gives the same result or not. (3) e) Solve the following first order linear and verify its result: dy/dx+7y=7 where
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divisibility‚ highest common factor‚ primes‚ factorization‚ Diophantine equations and so on‚ among which I chose Diophantine equations as the specific topic I would like to go deep into. Fermat ’s Last Theorem states that if n is a positive integer greater than 2‚ then the Diophantine equation x^n+y^n=z^n has no nontrivial solutions. Diophantine equation is an equation together with the restriction that the only solutions of the equation of interest are those belonging to a specified set‚ often the
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r r ∂D Jd = ∂t MAXWELL’S EQUATIONS These four fundamental equations of electromagnetics on the basis of three separate experimentally established facts‚ namely‚ Coulomb’s law‚ Ampere’s law (or the Biot-Savart law)‚ Faraday’s law‚ and the principle of conservation of electric charge. The validity of Maxwell’s equations is based on their consistency with all of our experimental knowledge to date concerning electromagnetic phenomena. The physical meaning of the equations is better perceived in the
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Purpose: To find number of moles of Fe+3 which react with one mole of NH3OH+ in order to partially balance the equation: NH3OH+ + 2Fe+3 "" ? + 2Fe+2 and to find the missing product. Procedure: H2C2O4 and H2SO4 were titrated with potassium permanganate. The molarity of the permanganate was then found because the molarity of the H2C2O4 and H2SO4 were already known. Then hydroxylammonium chloride and ferric sulfate and water was titrated with known potassium permanganate to get the molarity of the
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Wenzhou-Kean University Fall 2013 ACCT 2200 30 MINUTE QUIZ-CH.1/CH.2 True/False Circle the correct answer T 1. Accounting is the information system that identifies‚ records‚ and communicates the economic events of an organization to interested users. True T 2. Bookkeeping deals with the record-keeping process and is only one aspect of accounting. True T 3. 4. 5. 6. 7. 8. False Collection of an accounts receivable will increase both cash and accounts receivable. True F False The
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practical problems 1 Number system Types of numbers‚ modulus‚ Interval diagrams‚ Interval notations‚ solving set operations using interval notations. 2 Partial Fractions‚ Surds‚ Quadratic equations Proper and improper fractions‚ partial fraction method‚ finding roots and nature of the roots of quadratic equations‚ definition of surds‚ surd operation and simplification‚ 3 Indices‚ Logarithms Introduction to index and index operations‚ idea of logarithm and their operation 4 Geometry (Co ordinate system)
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cliff‚ and the length of the line. t‚ in sec r‚ in ft A‚ in ft2 4 2 15 16 8 60 20 10 75 3. What is an equation for r(t)? r = .5t 4. What is an equation for A(t)? A = 7.5(.5t) 5. Sketch the graphs of r(t) and A(t) on the same axes. Indicate which is which. 6. In any equation y = mx + b‚ the constant m is used to represent the slope. In a linear equation‚ the slope is equivalent to Δy/Δx (the average rate of change of y with respect to x) and is equivalent to dy/dx
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so (2x+6) ² = x² + (2x+4)² The binomial into the Phythagorean 4x²+24x+36=x²+4x²+16x+16 The binomials squared‚ there is a 4x²‚ Subtract 4x² from both sides of the equation 24x+36=x²+16x+16 Subtract 24x from both sides of the equation 36=x²-8x+16 Subtract 36 from both sides x²-8x-20 = 0 This is called a Quadratic equation to solve by factoring and using the zero factor. Now solve for x (x- ) (x+ ) Since the coefficient of x² is 1‚ I can start with a pair of parenthesis with an x in
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twice the width‚ so The area is 560‚ so Equation: Plug in and solve for W: Solution: Use the Quadratic Formula: Since the width can’t be negative‚ I get . The length is 2. The hypotenuse of a right triangle is 4 times the smallest side. The third side is . Find the hypotenuse and the smallest side. Representation: Let s be the smallest side and let h be the hypotenuse. By Pythagoras‚ The hypotenuse is 4 times the smallest side‚ so Equation: Plug into and Solution: Since doesn’t
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