Matematika

Pertanyaan

Mohon bantuannya ya teman teman.
Mohon bantuannya ya teman teman.

1 Jawaban

  • Nomor 16
    Fungsi f(x) dikatakan turun jika f'(x) < 0
    f(x) = 2x³ + 3x² - 36x + 5
    f'(x) = 6x² + 6x - 36
    6x² + 6x - 36 < 0
    x² + x - 6 < 0
    (x + 3)(x - 2) < 0
    -3 < x < 2

    HP = {x | -3 < x < 2, x ∈ R}

    Nomor 17
    [tex] \int\limits^3_1 {(3x^{2}-2x+2) } \, dx \\ = \left[\begin{array}{ccc}x^{3}-x^{2} +2x \end{array}\right] _{1} ^{3} [/tex]
    = 3³ - 3² + 2(3) - (1³ - 1² + 2(1))
    = 24 - 2
    = 22