2

Exercício 2.1

    a)

Graphics:f(x,y)=x+y

    b)

Graphics:            4x y f(x,y)= -------------               2    2         Sqrt[x  + y ]

Exercício 2.2

    a)

Graphics:           3           x f(x,y)= -------          2    2         x  + y

    b)

Graphics:               2               y f(x,y)= -------------               2    2         Sqrt[x  + y ]

Exercício 2.3

    a)

Graphics:         3 f(x,y)= x  y

Folha2_6.png

    b)

Graphics:                xy          f(x,y)= ----------           x + 1

Folha2_8.png

    c)

Folha2_9.png

    d)

Folha2_10.png

    e)

Graphics:            x y f(x,y)= -----------          2    2         x  + y  + 2

Folha2_12.png

    f)

Graphics:         2    2         y  - x f(x,y)= -------          x - y

Folha2_14.png

    g)

Graphics:        sen (x y) f(x,y)= ---------            x y

Folha2_16.png

    h)

Graphics:               2         (x - y) f(x,y)= --------          2    2         x  + y

Folha2_18.png

    i)

Graphics:          x y f(x,y)= -------          2    2         x  + y

Folha2_20.png

    j)

Graphics:          2          x  y f(x,y)= -------          4    2         x  + y

Folha2_22.png

    k)

Graphics:          3          x  y f(x,y)= ------- +x          2    2         x  + y

Folha2_24.png

    l)

Graphics:           2           y f(x,y)= -------          2    2         x  - y

Folha2_26.png

    m)

Graphics:            5          x y f(x,y)= -------          2    4         x  + y

Folha2_28.png

    n)

Graphics:          1 f(x,y)= -----          2  2         x  y

Folha2_30.png

    o)

Folha2_31.png

Exercício 2.4

    a)

Graphics:        sen (x + y) f(x,y)= -----------            x + y

Folha2_33.png

    b)

Graphics:                    2          2 (x - 1) y f(x,y)=  ------------             2    2            x  + y

Folha2_35.png

    c)

Graphics:             2           2 x  y f(x,y)=  ---------           2      2          x  + 3 y

Folha2_37.png

Exercício 2.5

    a)

Graphics:f(x,y)=                                                 2                                                                                                 x  y                                                       -------                                                        2    2                                                       x  + y                 (x, y) | ≠ (0, 0)                                                    0                      (x, y) | = (0, 0)

Folha2_39.png

    b)

Graphics:f(x,y)=                                                  2    2                                                                                          3 x  - y                                                       ---------                                                         2    2                                                        x  + y                (x, y) | ≠ (0, 0)                                                    0                      (x, y) | = (0, 0)

Folha2_41.png

    c)

Graphics:f(x,y)=                         2                                x  y                               -------                                2    2                               x  + y     x≠ -y                                  2                               x                               --                       2          x = -y

Folha2_43.png

    d)

Graphics:f(x,y)=                                                 2  2                                                        x  y                                                       -------                                                        4    4                                                       x  + y                 (x, y) | ≠ (0, 0)                                                    0                      (x, y) | = (0, 0)

Folha2_45.png

    e)

Graphics:f (x, y) =                   x        x≥y                       y        x<y

Folha2_47.png

    f)

Graphics:f(x,y)=                                                   3                                                          y                                                       -------                                                        2    2                                                       x  + y                 (x, y) | ≠ (0, 0)                                                    0                      (x, y) | = (0, 0)

Folha2_49.png

    g)

Folha2_50.png

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