Matematika

Pertanyaan

please bantu jawab dong
please bantu jawab dong

1 Jawaban

  • .
    12. nilai maksimum
    f(x) = 12/ { 8 -√15 cos x +sin x)
    f(x)= 12 / {8 + (-√15 cos x + sin x)}
    .
    -√15 cos x + sin x = k. cos (x -α)
    k² =(-√15)² +(1)²
    k² = 16
    |k|  = 4

    f(x)= 12/ {8 + 4 cos (x - α)}
    dan -1 ≤ cos (x-α) ≤ 1
    untuk cos (x - α)= 1 --> f(x) = 12/ { 8+4(1)} = 12/12 =1
    untuk cos (x - α) = 1--> f(x)=  12/{8+ 4(-1)} = 12/4 = 3
    nilai maksimum f(x)= 3

    13. perkalian matriks A(2x2). B(2x2)
    b = baris
    k = kolom

    b1k1 = ³log 5. ⁵log 9 + secθ. cosθ=³log 9 + 1/cos θ. cos θ=  2 + 1 = 3
    b1k2 = ³log 5.⁵log 3 + sec θ(tan θ sec θ)= ³log3 + tan θ sec² θ= 1+ tan θsec²θ
    b2k1 = ⁹log5. ⁵log 9 -cos θ (cos θ) = ⁹log 9 - cos²θ = 1-cos² θ= sin²θ
    b2k2 = ⁹log5.⁵log 3 - cos θ(tanθ secθ) = ⁹log 3 - tanθ = 1/2 - tan θ
    =
    |3..........1+tan θ sec² θ|
    |sin² θ..........1/2 - tan θ|