Judul: Bali cattle are native Indonesian cattle that have potential genetic and economic value to be developed. Sekolah Peternakan Rakyat (SPR) of Kuamang Abadi, District of Bungo has wide potential for cattle development, with 90% of the population being Bali cattle. This study aims to determine the performance level of bali cattle production at the SPR of Kuamang Abadi, District of Bungo by looking at morphometric data (body measurements), maintenance management systems (intensive, semi-intensive, extensive) and different age categories. In this study, 185 bali cattle were observed, with various rearing systems and ages. Productivity data were analyzed using descriptive analysis and Factorial Completely Randomized Design (CRD) with 2 treatment factors, namely the maintenance system and age with different replications. The results obtained at the SPR of Kuamang Abadi did not show significant differences in body morphometrics, whether reared intensively, semi-intensively or extensively. Meanwhile, in different age categories, changes in body size were significantly different from each age category (< 1 year, 1-2 years and > 2 years). However, when viewed from the morphometrics of bali cattle at the SPR of Kuamang Abadi the results are quite good.
Abstrak: Kota Bogor termasuk dalam wilayah dengan curah hujan tinggi tahunan rata-rata 3.500 – 4.000 mm sehingga berpotensi terjadinya pemanenan air hujan. Penelitian dilakukan untuk merencanakan volume penampungan air hujan yang dapat diaplikasikan di skala unit perumahan Villa Citra Bantarjati dan merancang alat filtrasi sederhana untuk meningkatkan kualitas fisik air hujan yang dapat digunakan untuk menunjang kebutuhan domestik. Penelitian ini dilakukan menggunakan data primer meliputi luas atap rumah serta data sekunder meliputi data curah hujan maksimum dan penggunaan air. Pengujian kualitas air dilakukan dengan uji kualitas fisik air hujan sebelum dan sesudah melewati filter untuk menghasilkan kualitas air yang memenuhi baku mutu air kelas II. Luas atap digunakan untuk menangkap air hujan sebesar 25 m2, sehingga rata-rata volume ketersediaan yang ditampung pada bak penampungan air hujan adalah 155,31 L/hari dengan faktor kehilangan air akibat limpasan sebesar 20%. Kapasitas bak penampungan air hujan yang memenuhi kebutuhan air domestik adalah 330 L. Perancangan filter sederhana ini mampu meningkatkan kualitas fisik air hujan dengan susunan media filter yang telah ditentukan ketinggiannya. Bahan filter sederhana yang berperan dalam pengolahan air meliputi zeolit dan arang aktif., Bogor city is included in the region with an average annual high rainfall of 3.500 – 4.000 mm so that the potential for rainwater harvest. This research was conducted to plan the volume of rainwater reservoirs that can be applied at the scale of Villa Citra Bantarjati housing units and design simple filtration tools to improve the physical quality of rainwater that can be used to support domestic needs. This study was conducted using primary data covering the area of the roof of the house as well as secondary data including maximum rainfall data and water use. Water quality testing is conducted by physical quality test of rainwater before and after passing the filter to produce water quality that meets class II water quality standards. The roof area is used to capture rainwater by 25 m2 , so the average volume of availability accommodated in rainwater reservoirs is 155.31 L/day with water loss factor due to runoff of 20%. The capacity of rainwater reservoirs that meet domestic water needs is 330 L. The design of this simple filter is able to improve the physical quality of rainwater with a predetermined arrangement of filter media. Simple filter materials that play a role in water treatment include zeolite and activated charcoal.
Keyword: Filter, water availability, water quality, rainwater reservoir

Judul: Planning of Rainwater Reservoir as a Water Supply Alternative of Guest House Unit Bogor Barat Agrohills, Planning of Rainwater Reservoir as a Water Supply Alternative of Guest House Unit Bogor Barat Agrohills
Abstrak: Bogor Barat Agrohills terletak di Kabupaten Bogor dengan curah hujan 3619,34 mm/tahun. Kebutuhan air bersih di Bogor Barat Agrohills direncanakan bersumber dari sumur bor. Bogor Barat Agrohills yang direncanakan sebagai kawasan eduwisata memerlukan adanya alternatif lain yang ramah lingkungan untuk memenuhi kebutuhan air sehari-hari. Salah satu strategi yang dapat diterapkan adalah dengan menampung air hujan. Penelitian dari bulan Mei hingga Agustus 2022 ini bertujuan merencanakan sistem penampungan air hujan untuk alternatif penyediaan air bersih di Guest House Bogor Barat Agrohills. Analisis untuk perencanaan penampungan air hujan menggunakan data curah hujan tahun 2012 hingga 2021. Desain bak penampung menggunakan data curah hujan andalan maksimum pada bulan Maret sebagai batasan dalam perencanaan dengan curah hujan bulanan sebesar 705,3 mm. Total air yang dapat ditampung sebesar 4,40 m3 /hari. Ketersediaan air ini mampu memenuhi kebutuhan air bersih untuk dua unit Guest House yaitu sebesar 1,8 m3 /hari. Dimensi bak penampung air hujan berdasarkan perhitungan neraca air direncanakan memiliki panjang 5 m, lebar 5 m, dan tinggi 3,6 m dengan kapasitas tampungan sebesar 90 m3 . Total rencana anggaran biaya pembuatannya sebesar Rp110.814.500., Bogor Barat Agrohills is located in Bogor district with rainfall of 3619.34 mm/year. The need for clean water in the Bogor Barat Agrohills Guest House area is planned to be sourced from drilled wells. As an edutourism area, it is necessary to have other environmentally friendly alternatives to meet daily water needs. One of the strategy that can be applied is rainwater storage. This study, conducted in May until August 2022, aimed to plan a rainwater collecting system as an alternative to increase clean water availability at the Bogor Barat Agrohills Guest House. The design analysis of rainwater storage was conducted using rainfall data from 2012 to 2021. As a limitation in the design of the storage, the rainfall data used was the maximum reliable rainfall data in March with a monthly rainfall of 705.3 mm. The total water supply that could be accommodated was 4.40 m3 /day. The water availability of 1.8 m3 /day, is able to meet the clean water demand for two Guest House units. The dimensions of the rainwater storage based on the water balance calculation were planned with length of 5 m, width of 5 m, and height of 3.6 m with a storage capacity of 90 m3 . The total planned budget needed was IDR110,814,500.
Keyword: planned budget, rainwater storage, rainfall, water demand

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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