// Numbas version: exam_results_page_options {"name": "Set Soal Matematika Bisnis II - Bab 1", "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 1 - 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": "

Dalam menghitung aproksimasi integral \\( \\displaystyle\\int_0^1 \\dfrac{1}{x^2+1}\\, dx \\) menggunakan aturan Trapesium untuk $n=4$, kesalahannya tidak akan melebihi $\\ldots$.

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Panjang selang terkecil agar aproksimasi dari \\( \\displaystyle\\int_1^2 \\dfrac{dx}{\\sqrt{x}} \\) menggunakan aturan Simpson mempunyai kesalahan yang tidak melebihi $0.00005$ adalah $\\ldots$.

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Aproksimasi nilai dari \\( \\displaystyle\\int_0^4 \\sqrt{\\var{a}+x^2}\\,dx \\) menggunakan aturan Simpson untuk $n=4$ adalah $\\ldots$.

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Gunakan Aturan Trapesium dengan $n=7$ untuk mengestimasi nilai rata-rata dari fungsi $f(x)=\\dfrac{e^{-\\var{b}x}}{x}$ pada selang $1\\leq x \\leq 8$.

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Suatu studi sosiolog mempelajari distribusi pendapatan dalam masyarakat industri dan berhasil mengumpulkan data yang ditampilkan berikut.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
$x$$0$$0.125$$0.25$$0.375$$0.5$$0.625$$0.75$$0.875$$1$
$L(x)$$0$$0.0063$$0.0631$$0.1418$$0.2305$$0.3342$$0.4713$$0.6758$$1$
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Misal $L(x)$ menyatakan bagian dari total pendapatan masyarakat yang diperoleh 100$x$% penerima gaji terendah di masyarakat. 

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Gunakan informasi tersebut untuk menentukan aproksimasi dari $\\displaystyle\\int_0^1 L(x)\\, dx$ dengan menggunakan Aturan Trapesium dengan $n=8$.

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Gunakan informasi tersebut untuk menentukan aproksimasi dari $\\displaystyle\\int_0^1 L(x)\\, dx$ dengan menggunakan Aturan Simpson dengan $n=8$.

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Tentukan aproksimasi dari Indeks Gini dengan menggunakan Aturan Trapesium dengan $n=8$.

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Tentukan aproksimasi dari Indeks Gini dengan menggunakan Aturan Simpson dengan $n=8$.

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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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