Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9...

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Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1 x 2 = 2 2 x 2 = 4 3 x 2 = 6 4 x 2 = 8 5 x 2 = 10 6 x 2 = 12 7 x 2 = 14 8 x 2 = 16 9 x 2 = 18 10 x 2 = 20 11 x 2 = 22 12 x 2 = 24

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Transcript of Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9...

Page 1: Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

Multiplication

X 11 x 1 = 12 x 1 = 23 x 1 = 34 x 1 = 45 x 1 = 56 x 1 = 67 x 1 = 78 x 1 = 89 x 1 = 9

10 x 1 = 1011 x 1 = 1112 x 1 = 12

X 21 x 2 = 22 x 2 = 43 x 2 = 64 x 2 = 8

5 x 2 = 10 6 x 2 = 12 7 x 2 = 14 8 x 2 = 16 9 x 2 = 1810 x 2 = 2011 x 2 = 2212 x 2 = 24

Page 2: Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

Multiplication

X 31 x 3 = 32 x 3 = 63 x 3 = 9

4 x 3 = 12 5 x 3 = 15 6 x 3 = 18 7 x 3 = 21 8 x 3 = 24 9 x 3 = 2710 x 3 = 3011 x 3 = 3312 x 3 = 36

X 41 x 4 = 42 x 4 = 8

3 x 4 = 12 4 x 4 = 16 5 x 4 = 20 6 x 4 = 24 7 x 4 = 28 8 x 4 = 32 9 x 4 = 3610 x 4 = 4011 x 4 = 4412 x 4 = 48

Page 3: Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

Multiplication

X 51 x 5 = 5

2 x 5 = 10 3 x 5 = 15 4 x 5 = 20 5 x 5 = 25 6 x 5 = 30 7 x 5 = 35 8 x 5 = 40 9 x 5 = 4510 x 5 = 5011 x 5 = 5512 x 5 = 60

X 61 x 6 = 6

2 x 6 = 12 3 x 6 = 18 4 x 6 = 24 5 x 6 = 30 6 x 6 = 36 7 x 6 = 42 8 x 6 = 48 9 x 6 = 5410 x 6 = 6011 x 6 = 6612 x 6 = 72

Page 4: Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

Multiplication

X 71 x 7 = 7

2 x 7 = 14 3 x 7 = 21 4 x 7 = 28 5 x 7 = 35 6 x 7 = 42 7 x 7 = 49 8 x 7 = 56 9 x 7 = 6310 x 7 = 7011 x 7 = 7712 x 7 = 84

X 81 x 8 = 8

2 x 8 = 16 3 x 8 = 24 4 x 8 = 32 5 x 8 = 40 6 x 8 = 48 7 x 8 = 56 8 x 8 = 64 9 x 8 = 7210 x 8 = 8011 x 8 = 8812 x 8 = 96

Page 5: Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

Multiplication

X 91 x 9 = 9

2 x 9 = 18 3 x 9 = 27 4 x 9 = 36 5 x 9 = 45 6 x 9 = 54 7 x 9 = 63 8 x 9 = 72 9 x 9 = 8110 x 9 = 9011 x 9 = 99

12 x 9 = 108

X 10 1 x 10 = 10 2 x 10 = 20 3 x 10 = 30 4 x 10 = 40 5 x 10 = 50 6 x 10 = 60 7 x 10 = 70 8 x 10 = 80 9 x 10 = 90

10 x 10 = 100 11 x 10 = 110 12 x 10 = 120

Page 6: Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = 10 11 x 1 = 11 12 x 1 = 12 X 2 1.

Multiplication

X 11 1 x 11 = 11 2 x 11 = 22 3 x 11 = 33 4 x 11 = 44 5 x 11 = 55 6 x 11 = 66 7 x 11 = 77 8 x 11 = 88 9 x 11 = 99

10 x 11 = 110 11 x 11 = 121 12 x 11 = 132

X 12 1 x 12 = 12 2 x 12 = 24 3 x 12 = 36 4 x 12 = 48 5 x 12 = 60 6 x 12 = 72 7 x 12 = 84 8 x 12 = 96

9 x 12 = 108 10 x 12 = 120 11 x 12 = 132 12 x 12 = 144


Multiply the polynomial. 1.(x + 2)(x + 3)(x + 1) ANSWER (x 2 + 5x + 6)(x + 1) ANSWER 4x 2 – 1 2.(2x – 1)(2x + 1) 3. (x – 7) 2 ANSWER x 2 – 14x + 49.

Multiply the polynomial. 1.(x + 2)(x + 3)(x + 1) ANSWER (x 2 + 5x + 6)(x + 1) ANSWER 4x 2 – 1 2.(2x – 1)(2x + 1) 3. (x – 7) 2 ANSWER x 2 – 14x + 49.

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CHAPTER 2 Differentiation answers/ODD02.pdf54 Chapter 2 Differentiation 17. lim x 0 4x x 22 x x x lim x 0 4x 2 x 1 4x 1 lim x 0 2x2 4 x2 x 2 x 1 2 2 x lim x 0 2 x 2x x x 1 2 x2 1 x

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1. (a) (b) The random variables X 1 and X 2 are independent, and each has p.m.f.f(x) = (x + 2) / 6 if x = –1, 0, 1. Find E(X 1 + X 2 ). E(X 1 ) = E(X 2.

1 Bob and Sue solved this by hand: Maximize x 1 + 2 x 2 subject to 1 x 1 + 1 x 2 ≤ 10 -2 x 1 + 1 x 2 ≤ 4 x 1, x 2 ≥ 0 and their last dictionary was: X1.

1 Bob and Sue solved this by hand: Maximize x 1 + 2 x 2 subject to 1 x 1 + 1 x 2 ≤ 10 -2 x 1 + 1 x 2 ≤ 4 x 1, x 2 ≥ 0 and their last dictionary was: X1.

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lim x 1 1. x -1 x 1 lim 2x x 3 2. x -1 x 1 lim 2 x 8 3. x 0

Web viewf x = lim n→∞ f n x = lim n→∞ nx 1+ n 2 x 2 = lim n→∞ x 1 n 2 + x 2 = x x 2 = x x =sgn x

Web viewf x = lim n→∞ f n x = lim n→∞ nx 1+ n 2 x 2 = lim n→∞ x 1 n 2 + x 2 = x x 2 = x x =sgn x