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[DOC File]Pre-Calculus Parametrics Worksheet #2
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Problems 2 – 6: Eliminate the parameter to write the parametric equations as a rectangular equation. 2. x = 6 – t 3. x = ½t + 4 4. x = 3 cos t. y = y = t3 y = 3 sin t . 5. x = cos t 6. x = 4 + 2 cos t. y = 2 sin2t y = -1 + 4 sin t. Problems 7 and 8: Write two new sets of parametric equations for …
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[DOC File]SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES
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When you solve an equation and you end with a . true statement, the solution set will be: _____. - 3x - 3x. Example: Many Solutions! When you solve an equation and you end with a . false statement, the solution set will be: _____. - 3x - 3x. No Solutions! Try These: 8. 2x + 5 = 2x – 3 9.
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[DOC File]CHAPTER 1 FIRST-ORDER DIFFERENTIAL EQUATIONS
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7. Definition: Let and be solutions of on an open interval I. (1) and form a fundamental set (or a basis) of solutions on I if and are linearly independent on I. (2) When and form a fundamental set of solutions, we call , with and arbitrary constants, the general solution of the differential equation on I. 8.
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[DOC File]Solution of the Diffusion Equation
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Accordingly, expect that we will be able to obtain an infinite set of solutions for X(x) that will give a complete set of orthogonal eigenfunctions. If we substitute the boundary condition at x = 0 into equation [8], get the following result because sin(0) = 0 and cos(0) = 1. [9] Equation [9] will be satisfied for all t …
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[DOC File]SOLVE SYSTEMS OF EQUATIONS
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2) Substitute the chosen equation into the unused equation and solve. 3) Substitute the value found in step 2 into any one of the original equations and solve for the remaining variable. 4) The solution can be written as an ordered pair, (x, y). NOTE: There are three possible types of solutions to a system.
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[DOC File]Differential Equations Final Practice Exam
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According to the laws of Newton and Hooke, the governing equation is . Explain the physical meaning of each term in the equation. Find the general solution of the equation.
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[DOC File]SOLVE LINEAR EQUATIONS
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Examples are 2x - 5 = 4 and 3x + 5y = 12. When you are asked to solve a linear equation you are being asked to find the value of the variable which will make the equation a true statement. Example: x = 4 is the solution to the equation 2x - 4 = 4.
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[DOC File]Solving Quadratic Equations
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Put the quadratic equation into standard form (above). Write out the formula and what a, b, & c stand for. Substitute for each variable. Split into two separate equations (setting each equal to zero) and solve. Check each . root. in the original equation. For example: 2x2 + x = 6-6 -6. 2x2 + x – 6 = 0 ***Can’t be factored, use the formula.
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[DOC File]Equations and Graphs
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The equation has ordered pairs of numbers as solutions. Recall that a particular pair of numbers is a solution if direct substitution of the and values into the original equation yields a true equation statement.
examples of equations

[DOC File]Equations and Graphs
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The equation has ordered pairs of numbers as solutions. Recall that a particular pair of numbers is a solution if direct substitution of the and values into the original equation yields a true equation statement. In this example, several solutions can be seen in the following table:
solve for x equation examples

Equation examples and solutions