Dokumen tersebut membahas tentang prinsip Pascal dan sistem hidraulik. Prinsip Pascal menyatakan bahwa tekanan yang dikenakan pada cecair akan dipindahkan secara seragam ke semua arah di dalam bekas tertutup. Sistem hidraulik menggunakan prinsip ini untuk memindahkan dan memantapkan daya melalui cecair hidraulik. Beberapa contoh soalan dan latihan penyelesaian masalah juga diberikan untuk mema
Dokumen tersebut membahas tentang prinsip Pascal dan sistem hidraulik. Prinsip Pascal menyatakan bahwa tekanan yang dikenakan pada cecair akan dipindahkan secara seragam ke semua arah di dalam bekas tertutup. Sistem hidraulik menggunakan prinsip ini untuk memindahkan dan memantapkan daya melalui cecair hidraulik. Beberapa contoh soalan dan latihan penyelesaian masalah juga diberikan untuk mema
This document discusses insurance premium calculations for life insurance and motor insurance policies. It provides formulas and tables to calculate premiums based on factors such as age, health status, vehicle type and capacity. For life insurance, premium rates increase with age due to declining life expectancy. Smokers also face higher rates due to greater health risks. The document demonstrates calculations for annual premiums on sample policies. It also discusses No Claim Discount rates that reduce premiums for drivers with no claims in the previous year. Premium amounts may differ from insurers' rates due to additional fees and taxes.
Dokumen ini membahasikan sistem bilangan biner yang digunakan oleh komputer untuk merepresentasikan data. Ia menjelaskan konsep bilangan biner, oktal, dan heksadesimal serta mendemonstrasikan konversi antara sistem bilangan dan operasi dasar seperti penjumlahan dan pengurangan bilangan biner. Dokumen juga memperkenalkan kode ASCII untuk mewakili huruf dan karakter lain secara bilangan biner.
NOTA BUKU TEKS RBT TINGKATAN 1 (FERTIGASI)Fadhirul Fitri
The document outlines the terms and conditions for a home loan agreement between a lender and borrower. It specifies details such as the loan amount, interest rate, repayment schedule, borrower obligations, default conditions, and foreclosure procedures. The lender retains the right to foreclose on the property if the borrower fails to meet their repayment obligations over an extended period.
Matematik tambahan spm tingkatan 4 geometri koordinat {add maths form 4 coord...Hafidz Sa
Nota padat Bab 6 Geometri Koordinat Matematik Tambahan Tingkatan 4 SPM
Slide Chapter 6 Coordinate Geometry Additional Mathematics Form 4
Topik Bab 6: Geometri Koordinat
Jarak di Antara Dua Titik
Pembahagian Tembereng Garis
Luas Poligon
Persamaan Garis Lurus
Garis Lurus Selari dan Garis Lurus Serenjang
Persamaan Lokus yang Melibatkan Jarak Antara Dua Titik
This document discusses linear equations and graphs. It defines a linear equation as y = mx + c, where m is the slope and c is the y-intercept. It explains how to calculate the slope using two points and how to find the y-intercept and x-intercept by setting y = 0 and x = 0 in the linear equation. Several examples are given of finding the linear equation from a graph or given information. Practice problems are also provided to find the linear equation of lines on a graph.
The document is the cover page for a mathematics exam paper for Form 4 students in Malaysia. It provides instructions for students, including the time allotted (1 hour and 15 minutes), a reminder not to open the paper until instructed, and information that the paper contains 40 questions. It also lists some common mathematical formulas that may be useful for answering the questions.
Borang ini digunakan untuk menilai tahap kecemerlangan seorang guru bernama Syed Muhammad Kamil Al'Idrus bin Syed Ahmad. Borang ini memerlukan guru tersebut untuk melaporkan pencapaian pengajaran, kokurikulum, dan tugas khasnya selama tiga tahun. Laporan tersebut dinilai oleh panel penilai menggunakan skala 1 hingga 10 untuk domain pengajaran, kokurikulum, dan tugas khas. Keputusan purata
This document discusses insurance premium calculations for life insurance and motor insurance policies. It provides formulas and tables to calculate premiums based on factors such as age, health status, vehicle type and capacity. For life insurance, premium rates increase with age due to declining life expectancy. Smokers also face higher rates due to greater health risks. The document demonstrates calculations for annual premiums on sample policies. It also discusses No Claim Discount rates that reduce premiums for drivers with no claims in the previous year. Premium amounts may differ from insurers' rates due to additional fees and taxes.
Dokumen ini membahasikan sistem bilangan biner yang digunakan oleh komputer untuk merepresentasikan data. Ia menjelaskan konsep bilangan biner, oktal, dan heksadesimal serta mendemonstrasikan konversi antara sistem bilangan dan operasi dasar seperti penjumlahan dan pengurangan bilangan biner. Dokumen juga memperkenalkan kode ASCII untuk mewakili huruf dan karakter lain secara bilangan biner.
NOTA BUKU TEKS RBT TINGKATAN 1 (FERTIGASI)Fadhirul Fitri
The document outlines the terms and conditions for a home loan agreement between a lender and borrower. It specifies details such as the loan amount, interest rate, repayment schedule, borrower obligations, default conditions, and foreclosure procedures. The lender retains the right to foreclose on the property if the borrower fails to meet their repayment obligations over an extended period.
Matematik tambahan spm tingkatan 4 geometri koordinat {add maths form 4 coord...Hafidz Sa
Nota padat Bab 6 Geometri Koordinat Matematik Tambahan Tingkatan 4 SPM
Slide Chapter 6 Coordinate Geometry Additional Mathematics Form 4
Topik Bab 6: Geometri Koordinat
Jarak di Antara Dua Titik
Pembahagian Tembereng Garis
Luas Poligon
Persamaan Garis Lurus
Garis Lurus Selari dan Garis Lurus Serenjang
Persamaan Lokus yang Melibatkan Jarak Antara Dua Titik
This document discusses linear equations and graphs. It defines a linear equation as y = mx + c, where m is the slope and c is the y-intercept. It explains how to calculate the slope using two points and how to find the y-intercept and x-intercept by setting y = 0 and x = 0 in the linear equation. Several examples are given of finding the linear equation from a graph or given information. Practice problems are also provided to find the linear equation of lines on a graph.
The document is the cover page for a mathematics exam paper for Form 4 students in Malaysia. It provides instructions for students, including the time allotted (1 hour and 15 minutes), a reminder not to open the paper until instructed, and information that the paper contains 40 questions. It also lists some common mathematical formulas that may be useful for answering the questions.
Borang ini digunakan untuk menilai tahap kecemerlangan seorang guru bernama Syed Muhammad Kamil Al'Idrus bin Syed Ahmad. Borang ini memerlukan guru tersebut untuk melaporkan pencapaian pengajaran, kokurikulum, dan tugas khasnya selama tiga tahun. Laporan tersebut dinilai oleh panel penilai menggunakan skala 1 hingga 10 untuk domain pengajaran, kokurikulum, dan tugas khas. Keputusan purata
Dokumen tersebut membahaskan metode baru untuk menyelesaikan sistem persamaan linier bernama Petua Cramer. Petua Cramer hanya memerlukan penentu matriks untuk menentukan nilai satu variabel pada satu waktu, berbeda dengan metode sebelumnya yang memerlukan perhitungan banyak kofaktor yang rumit. Contoh penyelesaian sistem persamaan 3x3 menggunakan Petua Cramer kemudian diberikan.
First order non-linear partial differential equation & its applicationsJayanshu Gundaniya
There are five types of methods for solving first order non-linear partial differential equations:
I) Equations containing only p and q variables. II) Equations relating z as a function of u. III) Equations that can be separated into functions of single variables. IV) Clairaut's Form where the solution is directly substituted. V) Charpit's Method which is a general method taking integrals of auxiliary equations to solve dz=pdx+qdy and find the solution. These types cover a range of applications including Poisson's, Helmholtz's, and Schrödinger's equations in fields like electrostatics, elasticity, wave theory and quantum mechanics.
Dokumen tersebut membahas tentang poligon sekata dan tidak sekata, termasuk definisi, ciri-ciri, cara menghitung sudut dalam, perimeter, dan luas. Poligon dibedakan menjadi dua jenis berdasarkan panjang sisi dan besar sudut dalamnya. Rumus-rumus untuk menghitung sudut, perimeter, dan luas dipaparkan dengan beberapa contoh.
This document discusses applications of differential equations. It begins by covering the invention of differential equations by Newton and Leibniz. It then defines differential equations and covers types like ordinary differential equations (ODEs) and partial differential equations (PDEs). Examples of commonly used differential equations are provided, such as the Laplace equation, heat equation, and wave equation. Applications of differential equations are discussed, including modeling mechanical oscillations, electrical circuits, and Newton's law of cooling.
Dokumen tersebut membahas tentang persamaan linear homogen dan penyelesaian sistem persamaan linear homogen (SPLH). SPLH diselesaikan dengan menentukan variabel bebasnya sehingga diperoleh penyelesaian umum berupa vektor kolom yang berisi koefisien variabel bebas.
The document discusses partial differential equations and their solutions. It can be summarized as:
1) A partial differential equation involves a function of two or more variables and some of its partial derivatives, with one dependent variable and one or more independent variables. Standard notation is presented for partial derivatives.
2) Partial differential equations can be formed by eliminating arbitrary constants or arbitrary functions from an equation relating the dependent and independent variables. Examples of each method are provided.
3) Solutions to partial differential equations can be complete, containing the maximum number of arbitrary constants allowed, particular where the constants are given specific values, or singular where no constants are present. Methods for determining the general solution are described.
SUMBANGAN SALAHUDDIN AL-AYYUBI SEMASA ZAMAN PEMERINTAHANNYA.pptx
Sistem persamaan linear
1.
2. Persamaan Linear ialah persamaan
untuk satu garis lurus yang kuasa
tertingginya ialah satu(1), darjah
pertama
Sistem Persamaan Linear wujud
ketika terdapat dua atau lebih
persamaan
4. SISTEM PERSAMAAN LINEAR
a11x1 + a12x2 + ….+ a1nxn = b1
a21x1 + a22x2 + ….+ a2nxn = b2
…………………………………
…………………………………
am1x1 + am2x2 + ….+ amnxn = bm
JIKA SISTEM m
MERUPAKAN
PERSAMAAN
LINEAR DALAM n
BILANGAN TIDAK
DIKETAHUI IAITU
x1,x2,…..,xn
5. SISTEM PERSAMAAN
TADI BOLEH DITULIS
DALAM BENTUK
MATRIKS IMBUHAN
m
2
1
n
2
1
mnm2m1
2n2212
1n1211
b
....
b
b
x
....
x
x
a.....aa
.....................
a.....aa
a.....aa
9. Untuk mendapatkan nilai pembolehubah
Terdapat 3 kemungkinan
Penyelesaian Unik
Tiada Penyelesaian
Penyelesaian Tidak terhingga
10. Wujud ketika dua atau garis
tersebut bersilang pada satu titik
sahaja
Satu titik persilangan=satu
penyelesaian=penyelesaian unik
11. Wujud ketika 2 atau lebih garis
lurus yang terlibat dalam keadaan
selari
Seperti dalam gambar rajah, garis
selari tidak pernah bertemu.
Oleh itu, tiada wujud Penyelesaian
12. Wujud ketika garis-garis tersebut
bertindih
Bersilang di bilangan titik yang tak
terhingga
Penyelesaian tidak unik=lebih
daripada satu
penyelesaian/penyelesaian tak
terhingga
13. Penyelesaian Unik Tiada Penyelesaian
Penyelesaian Tak
Terhingga
Garis bersilang pada
satu titik
Garis selari (tiada
persilangan)
Satu garis sahaja
(persilangan yang tak
terhingga)
Satu Penyelesaian Tiada Penyelesaian
Penyelesaian lebih
daripada satu
