// Numbas version: exam_results_page_options {"name": "Set Soal Matematika Bisnis II - Bab 5 dan 6", "metadata": {"description": "", "licence": "None specified"}, "duration": 2700, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "PG + Isian", "pickingStrategy": "all-shuffled", "pickQuestions": 1, "questionNames": ["", "", "", ""], "questions": [{"name": "Matbis 2 - Bab 5 dan 6 - No 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Pilihlah seluruh persamaan beda yang bersifat autononomous.

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Pilihlah semua persamaan beda orde \\(2\\) berikut yang akan konvergen ke solusi setimbangnya.

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Si Meong menginvestasikan uangnya sebesar \\(\\var{a*10}\\) dolar pada sebuah tabungan dengan tingkat suku bunga bulanan \\(\\var{b*0.25}\\%\\). Jumlah tabungannya setelah \\(\\var{c}\\) bulan adalah \\(\\ldots\\) dolar.

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Solusi homogen persamaan \\(y_{t+2}=3y_{t+1}-2y_{t}+\\var{a}^t\\) adalah \\(y_t=C_1A^t+C_2B^t\\). 

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Nilai $A+B=\\ldots$.

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Pada Model Cobweb, diketahui jumlah penawaran barang pada setiap waktu \\(t\\) adalah \\(Q_t^S = 6+5\\left( p_{t-1}-\\dfrac{p_{t-1}-p_{t-2}}{5} \\right)\\) dengan \\(p_t\\) menyatakan harga per unit dalam dolar pada waktu ke-\\(t\\). Sedangkan jumlah unit permintaannya adalah \\(Q_t^D=15-4p_t\\).

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Kedua persamaan beda yang diberikan dapat disederhanakan menjadi suatu hubungan antara \\(p_{t+2}\\) dan \\(p_t\\). Misal hubungan tersebut dapat dituliskan menjadi \\(p_{t+2}+Ap_{t+1}+Bp_t=C\\). Tentukan nilai \\(A\\), \\(B\\), dan \\(C\\) berturut-turut.

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Pilihlah bentuk solusi umum dari persamaan beda tersebut.

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Jika diketahui \\(p_0=3\\) dan \\(p_1=2\\), tentukan nilai \\(C_1\\) dan \\(C_2\\) berturut-turut.

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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:

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

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