fungsi f(x) = -4 sin 3 (x-phi/2) + 1 mempunyai nilai maksimum a dan nilai minimum b. Nilai (a-b) 2 =……………
Matematika
rohman102
Pertanyaan
fungsi f(x) = -4 sin 3 (x-phi/2) + 1 mempunyai nilai maksimum a dan nilai minimum b. Nilai (a-b) 2 =……………
1 Jawaban
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1. Jawaban DB45
35
f(x) = - 4 sin 3(x - π/2) + 1
untulk -1 ≤ sin 3(x-π/2) ≤ 1
tertinggi sin (ax +b) = 1
terendah sin (ax + b ) = - 1
f(x) = - 4 (1) + 1 = - 4 + 1 = - 3
f(x) = - 4(-1) +1 = 4 + 1 = 5
Maksimum a= 5
minimum b = - 3
(a- b)² = (5 - (-3))²= (8)² = 64