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Misalkan \\(f(x)\\) fungsi dengan \\(f(1001) = 3.0004\\) dan \\(f(999) = 2.9996\\).

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Maka \\(f[999,1001]=\\ldots\\).

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Misal kita ingin menentukan polinom interpolasi Newton orde \\(2\\), \\(y=f(x)\\), yang memenuhi \\(f(1)=\\var{a}\\), \\(f(2)=\\var{b}\\), \\(f(3)=\\var{c}\\). Maka \\(f[3,2,1]=\\ldots\\).

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Koordinat \\(x\\) pada titik potong parabola \\(y=x^2-4x\\) dan garis \\(y=-1\\) dapat dihampiri dengan iterasi titik tetap. Misal diberikan tebakan awal \\(x_0=0\\).

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Nilai \\(x_1=\\ldots\\).

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Nilai \\(x_2=\\ldots\\).

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Galat relatifnya pada iterasi kedua adalah \\(\\varepsilon_a=\\ldots\\%\\).

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Nilai \\(\\sqrt{\\var{a}}\\) dapat dihampiri dengan menghampiri solusi positif persamaan kuadrat \\(x^2-\\var{a}=0\\) dengan Metode Newton-Raphson. Misal dipilih tebakan awal \\(x_0=1\\).

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Nilai \\(x_1=\\ldots\\).

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Nilai \\(x_2=\\ldots\\).

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Galat relatifnya pada iterasi kedua adalah \\(\\varepsilon_a=\\ldots\\%\\).

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Dari hasil survei terhadap berbagai bank, terindikasi bahwa jumlah antrian di bank (dinotasikan \\(Q\\)) dianggap berubah secara kontinu terhadap waktu (dinotasikan \\(t\\), setelah jam buka). Berikut adalah tabel jumlah antrian (dalam puluh orang) terhadap waktu (dalam jam) di sebuah bank.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\\(t\\) (jam)\\(2\\)\\(4\\)\\(5\\)\\(6\\)
\\(Q\\) (puluh orang)\\(10\\)\\(50\\)\\(40\\)\\(70\\)
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Polinom interpolasi Lagrange orde \\(3\\) dari data tersebut dapat dituliskan menjadi \\(Q(t)=At^3+Bt^2+Ct+D\\). Nilai \\(A\\), \\(B\\), \\(C\\), dan \\(D\\) berturut-turut adalah $\\ldots$.

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Gunakan polinom interpolasi yang diperoleh untuk mendapatkan interpolasi jumlah antrian setelah \\(3\\) jam dari jam buka.

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Waktunya 5 menit lagi ya.

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Selamat datang!

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Silakan gunakan set soal ini dengan bijak. Kalian bisa mencoba set soal ini terus-menerus.

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Set soal ini dapat digunakan oleh siapapun secara gratis.

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Petunjuk pengerjaan soal:

\n\n

Jika ada kunci jawaban yang salah, kalian dapat memberitahu kami di Instagram @meongmeongproject atau OA Line @eog7710d.

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