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# DiffCalculus August 8, 2012

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Transparencia de mi clase de Cálculo diferencial.

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### DiffCalculus August 8, 2012

1. 1. Day 31. OpenerThe difference of two numbers is 7 and the sum multipliedby the smaller number is equal to 184. Find both numbers.
2. 2. 2. Quadratic FormulaIf ax2 +bx + c = 0 and a ≠ 0, then 2 −b ± b − 4ac x= 2a
3. 3. 3. Operations with fractions.Examples: 2 2 1 1 a +b a) 2 + − 3 3 a − ab ab a b − ab
4. 4. 3. Operations with fractions.Examples: 2 2 1 1 a +b a) 2 + − 3 3 a − ab ab a b − ab 2 2 a − 3 a + 9a + 20 a − 16 b) × 2 ÷ 2 4a − 4 a − 6a + 9 2a − 2a
5. 5. 4. Rationalize the denominator.
6. 6. 4. Rationalize the denominator. Rationalising the denominator is when you move a root (like a square root or cube root) from the bottom of a fraction to the top.
7. 7. 4. Rationalize the denominator. Rationalising the denominator is when you move a root (like a square root or cube root) from the bottom of a fraction to the top. 1 2
8. 8. 4. Rationalize the denominator. Rationalising the denominator is when you move a root (like a square root or cube root) from the bottom of a fraction to the top. 1 2
9. 9. 4. Rationalize the denominator. Rationalising the denominator is when you move a root (like a square root or cube root) from the bottom of a fraction to the top. 1 2 2 2
10. 10. 4. Rationalize the denominator.Examples:Rationalize the denominator of 2+ 3 8− 3
11. 11. 4. Rationalize the denominator.Examples:Rationalize the denominator of 2+ 3 8− 3Rationalize and simplify
12. 12. 4. Rationalize the denominator.Examples:Rationalize the denominator of 2+ 3 8− 3Rationalize and simplify a +1 1+ a + 1