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A Year In Review

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BC: Mrs. Pitt thank you i wouldn't be this far in math if i did not have you as my teacher.

FC: My Math review | By: Andrea Jones Math 171 Mrs. Pitt Tues, Thurs 11-1230

1: Matrices | When adding and subtracting matrices, dimensions must be the same. (Rows and Columns) When multiplying matrices, columns in first matrix must equal rows in second matrix.

2: The Intermediate Value Theorem P(a) and P(b) have opposite signs; the functions has a real zero between a and b. | The Remainder Theorem If the remainder is a 0 then x-c is a factor.

3: The Fundamental Theorem The degree of 1 or more tells you, you have at least zero in the set of complex numbers. Nonreal zeros If a+bi is a zero of a function, then a-bi is a zero. Irrational zeros If a+c square root(b) is a zero of a function, then a-c square root(b) is a zero

4: Quadratic Formula x=-b(square root)b^2-4ac 2a | Completing square 1. Check for descending order 2. a must be 1 3. move c to the right side 4. b* 1/2, square it, add to both sides 5. Factor left side; combine like terms on the right 6. Square root both sides, remember +- on right 7. Solve for x, find 2 answers

5: Absolute value- write 3 math problems and remember to change the signs on right side of second problem Isolate absolute value split into two problems, solve for x and then check.

6: range hands= bottom to top | range=red lines domain=green lines

7: domain hands= touchdown hands; left to right

8: Case 1: Exactly one common point, one solution-Consistent Independent Case 2: Parallel lines, no common points, no solutions-Inconsistent Independent Case 3: Identical lines, infinitely many solutions-Consistent Dependent

9: Parametric Equations If f and g are continuous functions of t on an interval I, then the set of ordered pairs (x,y) such that x=f(t) and y=g(t) is a plane curve. The variable t is the parameter.

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Andrea Jones
  • By: Andrea J.
  • Joined: over 8 years ago
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  • Title: A Year In Review
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  • Published: over 8 years ago