Matematika

Pertanyaan

Tolong dijawab beserta caranya
Tolong dijawab beserta caranya

1 Jawaban

  • (a-x)/x = y/(b-y)
    xy = ab-bx-ay+xy
    bx = ab - ay
    bx = a(b-y)
    b-y = bx/a
    y= b - (bx/a)

    luas = xy = x(b - (bx/a) = bx - (b/a)x^2
    agar maksimum, maka turunan pertama fungsi luas = 0
    b - 2b/a x = 0
    2bx/a = b
    2bx = ab
    2x = a
    x = a/2
    y = b - b(a/2)/a = b - b/2 = b/2

    xy = (ab)/4.....(A)