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    C H A P T E R

    10

    Applications ofdifferentiation

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    d)

    Exercise 10E Q1

    a)

    b)

    c)

    d)

    e)

    f)

    g)

    h)

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    b)

    c)

    Exercise 10E Q14

    a)

    b)

    c)

    163

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    d)

    e)

    Exercise 10E Q15

    a)

    b)

    c)

    d)

    e)

    Exercise 10E Q16

    a)

    b)Exercise 10E Q17

    a) and b)

    c)d)

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    Exercise 10H Q3

    a)

    b)

    c)

    d)

    e)

    f)

    Exercise 10H Q4

    a)

    b)

    c)

    Exercise 10H Q5

    a)

    b)

    c)

    d)

    Exercise 10H Q6

    a)

    b)

    c)

    171

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    Exercise 10I Q4

    Exercise 10I Q5

    Exercise 10I Q6

    Exercise 10I Q7

    Exercise 10I Q8

    a)

    b)

    173

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    Exercise 10J Q10

    a)

    b)

    178

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    C H A P T E R

    11

    Differentiation oftransendental functions

    179

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    Exercise 11F Q1

    a) b) c) d)

    Exercise 11F Q2

    a)

    b)

    c)

    d)

    e)

    f ) 1,2

    ,

    Exercise 11F Q5

    a) c)

    b)

    c)

    e) i) ii) iii)

    iv)

    v)

    Exercise 11F Q6

    b)

    dx

    dy

    dx

    dy

    2

    1

    2

    2x

    c) x2

    1

    d) i)

    a

    ax

    ii) xa

    1

    iii)

    196

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    C H A P T E R

    12

    Integration

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    e)

    f)

    Exercise 12F Q3

    a)

    b)

    c)

    d)

    e)

    f)

    207

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    Exercise 12F Q4

    Exercise 12F Q5

    Exercise 12F Q6

    a)

    b),

    Exercise 12F Q7

    a)

    b)

    208

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    Exercise 12F Q8

    a)

    b)

    c)

    Exercise 12F Q9

    Exercise 12F Q10

    Exercise 12F Q11

    Exercise 12F Q12

    209

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    j)

    Exercise 12G Q3

    Exercise 12G Q4

    a)

    b)

    c)

    d)

    e)

    211

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    f)

    Exercise 12G Q5

    a)

    b)

    c)

    d)

    Exercise 12G Q6

    Exercise 12H Q1

    a)

    b)

    212

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    Exercise 12H Q15

    a)

    b)

    c)

    Exercise 12H Q16

    Exercise 12H Q17

    Exercise 12H Q18

    a)

    b)

    c)

    216

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    Exercise 12I Q6

    Exercise 12I Q7

    Exercise 12I Q8

    ,

    219

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    C H A P T E R

    14

    Discrete random variablesand their probability

    distribution

    220

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    Exercise 14A Q14

    a)b)c)d)Exercise 14A Q15

    a)b)Exercise 14A Q16

    a)

    b)Exercise 14A Q17

    Exercise 14B Q1

    a)b)c)d)Exercise 14B Q2

    a)b)c)d)

    Exercise 14B Q3

    a)

    b)

    c)Exercise 14B Q4

    a)b)

    1 2 3 4 5 6

    1 2 3 4 5 6 7

    2 3 4 5 6 7 8

    3 4 5 6 7 8 9

    4 5 6 7 8 9 10

    5 6 7 8 9 10 11

    6 7 8 9 10 11 12

    c)d)Exercise 14B Q5

    a)1 2 3 4 5 6

    1 1 1 1 1 1 1

    2 1 2 2 2 2 2

    3 1 2 3 3 3 3

    4 1 2 3 4 4 4

    5 1 2 3 4 5 5

    6 1 2 3 4 5 6

    b)c)Exercise 14B Q6

    a)b)c)d)

    222

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    Exercise 14D Q14

    H T

    1 1 2

    2 2 4

    3 3 6

    4 4 8

    5 5 10

    6 6 12

    a)

    b)c)

    Exercise 14D Q15

    1 2 3 4 5 7 8 9 10 11 12

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    C H A P T E R

    15

    The binomial distribution

    229

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    Exercise 15A Q14

    Exercise 15A Q15

    Exercise 15A Q16

    a)

    b)Exercise 15A Q17

    a)b)c)

    Exercise 15A Q18

    Exercise 15A Q19

    a)b)

    Exercise 15A Q20

    a)b)

    c)

    Exercise 15B Q1

    a) b) c)

    Exercise 15B Q2

    Exercise 15B Q3

    Exercise 15B Q4

    231

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    Exercise 15B Q5

    Exercise 15B Q6

    a) b)c)

    Exercise 15B Q7

    a) b) c)

    d)

    Exercise 15C Q1

    a)

    b)

    c)

    d)

    Exercise 15C Q2

    a)b)

    Exercise 15C Q3

    Exercise 15C Q4

    Exercise 15C Q5

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    C H A P T E R

    16

    Markov chains

    234

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    Exercise 16A Q1

    a)b)Exercise 16A Q2

    a)

    b)

    Exercise 16A Q3

    a)

    b)

    Exercise 16A Q4

    a)

    b)

    Exercise 16A Q5

    a)b)

    c)

    Exercise 16A Q6

    a)b)c)

    235

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    Exercise 16B Q4

    a)

    b)

    Exercise 16B Q5

    a)

    b)

    237

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    Exercise 16B Q12

    a)

    b)

    , 10080 old

    Exercise 16B Q13

    a)

    b)c)

    d)

    Exercise 16B Q14

    a)

    b)

    Exercise 16C Q1

    a)b)

    c)

    d)

    239

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    b)

    Exercise 16D Q4

    a)

    b)

    c)

    d)

    Exercise 16D Q5

    a)b)Exercise 16D Q6

    a)

    b)

    Exercise 16D Q7

    a)

    b)

    Exercise 16D Q8

    a)

    b)

    242

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    C H A P T E R

    17

    Continuous random variablesand their probability

    distributions

    243

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    Exercise 17A Q1

    Exercise 17A Q2

    Exercise 17A Q3

    a) and c)

    b)

    Exercise 17A Q4

    a)

    b)

    Exercise 17A Q5

    a)

    b)

    244

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    Exercise 17A Q9

    a)

    b)

    Exercise 17A Q10

    a)

    b)

    Exercise 17A Q11

    a)

    b)

    Exercise 17A Q12

    a)

    246

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    b)

    Exercise 17A Q13

    a)

    b)

    Exercise 17A Q14

    a)

    b)

    Exercise 17A Q15

    a)

    b)

    247

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    Exercise 17A Q16

    a)

    b)

    Exercise 17B Q1

    a)

    b)

    Exercise 17B Q2

    a)

    b)

    c)

    Exercise 17B Q3

    a)

    b)

    248

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    Exercise 17C Q1

    a)

    b)

    c)

    d)

    Exercise 17C Q2

    a) b)c) d)Exercise 17C Q3

    a)

    b)

    Exercise 17C Q4

    Exercise 17C Q5

    249

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    b)

    Exercise 17C Q16

    a)

    b)

    c)

    Exercise 17C Q17

    a)

    b)

    c)

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    C H A P T E R

    18

    The normal distribution

    259

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    Exercise 18A Q1

    Exercise 18A Q2

    Exercise 18A Q3

    a) ,b)

    c)

    Exercise 18A Q4

    a)b)

    c)

    Exercise 18A Q5

    a)

    b)

    Exercise 18A Q6

    a) ,

    b)

    Exercise 18A Q7

    a)

    b)

    260

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    Exercise 18C Q13

    a) b) c)

    d)

    Exercise 18C Q14

    a) b)

    Exercise 18C Q15

    a) b)

    Exercise 18C Q16

    a) b) c)

    d) e)

    f)

    Exercise 18C Q17

    a) b) c)

    d) e)

    Exercise 18D Q1

    a) i) ii) iii)

    b)

    Exercise 18D Q2

    a) i) ii) 0.8944 iii)

    Exercise 18D Q7

    a) b) c)

    Exercise 18D Q8

    Exercise 18D Q9

    a)

    b)

    Exercise 18D Q10

    a) i) ii) b)

    Exercise 18D Q11

    a)

    b)


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