diketahui f'(x) = 2ax + (a-1). Jika f(1) = 3 dan f(2) = 0, nilai a =
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Pertanyaan
diketahui f'(x) = 2ax + (a-1). Jika f(1) = 3 dan f(2) = 0, nilai a =
1 Jawaban
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1. Jawaban atuzliza
diket = f'(x)= 2ax+(a-1)
f(1)=3
f(2)=0
ditanya= a?
jawab = f'(x)= 2ax+(a-1)
cari f(x) berarti di integral
f(x)= 2ax²/2 + (a-1)x +C⇒ C disini adalah komplemen
= ax²+(a-1)x +C
f(1)= a(1²) + (a-1)(1) +C = 3
a+a-1 +C =3
2a+C =2
f(2)= a(2²)+(a-1)(2)+C=0
4a+2a-2+C = 0
6a+C=2
dieleminasi 6a+C= 2
2a+C=2
₋₋₋₋₋₋₋₋₋₋₋₋₋₋ ₋
4a = 0
a = 0