The document is notes for a lesson on tangent planes. It provides definitions of tangent lines and planes, formulas for finding equations of tangent lines and planes, and examples of applying these concepts. Specifically, it defines that the tangent plane to a function z=f(x,y) through the point (x0,y0,z0) has normal vector (f1(x0,y0), f2(x0,y0),-1) and equation f1(x0,y0)(x-x0) + f2(x0,y0)(y-y0) - (z-z0) = 0 or z = f(x0,y0) +
The document consists of a single sentence repeated over 100 times: "For More Islamic Books Visit Islamilibrary.blogspot.com". It appears to be promoting an Islamic book library website.
Dajjal: The False Messiah
Imam Ibn Kathir
Language: English | Format: PDF | Pages: 51 | Size: 25 MB
The Prophet not only warned his Ummah against Dajjal; the false Messiah, but stated in detail his colour, height, width, eye-shape, inscriptions on his forehead, his seductions, his method of aberrance, how to escape from his temptations, his current location, and so on. All the details about Dajjal are here in this book.
Imam Ibn Kathir
He was Emaad Ed-Deen Isma’eel Ibn ‘Umar Ibn ibn Katheer , originally from Busra (Syria) – and raised in Damascus. He followed the Shafi`ee school of thought. Ibn Kathir was born in the year 700 AH or little later in an area called Majdal, near Busra, west of Damascus. His father died when he was only four years old and was taken in by his brother and moved to Damascus in 706. Here, he learned from great scholars such as Ibn Asakir, Ishaq ibn Yahya al-Amudi and the great Ibn Taymiyyah who was extremely close to him. He also studied under various other sheikhs who gave him permission in fiqh and Hadith. He made many academic contributions to Islamic sciences.
He made many academic contributions to Islamic sciences. The following are amongst his most prominent:
Tafseer of the Qur’an, Al-Bidayah wan-Nihayah: a history of Muslims from Adam until Ibn Kathir’s time, At-Takmeel: a book on the science of Asmaaul Rijal (profiles of transmitters of Hadith), Jami`ul Masaneed: a book that collects the Hadith from ten major books of Hadith, , The classes of Shafi`ee scholars: a list of scholars following the Imam, Extraction of the traditions of Tanbeeh (a Shafi`ee book of jurisprudence), The commentary on al-Bukhari (which he did not finish), The book of laws (again, he did not complete it), The summary to the science of Hadith; a synopsis to the introduction of Ibn Saah’s work, Extraction of the traditions to the summary of Ibn Hajib, Musnad of the two sheikhs (Abu Bakr and Umar), Biography of the Prophet, sallallahu `alayhi wa sallam, The epistle of Jihad.
Many of These have been translated into the English Language (Even though some are Abrdged Translations),
Al-Hafiz Ibn hajar Al-Asqalani said,”Ibn Kathir lost his sight just before his life ended. He died in Damascus in 774A.H. May Allah grant him Mercy and make him amongst the residents of Jannah (Heavenly Garden).
Mathematics is defined as the science dealing with logic, quantity, and arrangement. It includes areas like geometry, algebra, and calculus. Mathematics helps analyze structures, make calculations, and draw conclusions. Some influential mathematicians mentioned include Euclid, Euler, Gauss, Newton, Leibniz, Pythagoras, and Turing. Euler was known as the "king of math" and made important contributions like generalizing Fermat's Little Theorem. Gauss was a child prodigy known as the "Prince of Mathematics." Euclid was influential for his work in geometry and is considered the "Father of Mathematics."
The document discusses tangent planes and normal lines to surfaces. It defines a tangent plane at a point P on a surface z=f(x,y) as having an equation involving the partial derivatives of f at P. A normal line to a curve at a point P is perpendicular to the tangent line at P, with slope given by the negative reciprocal of the tangent slope. The normal line to a surface z=f(x,y,z) at a point P passes through P with direction given by the gradient of f at P.
The document explains how to construct a prime factor tree. A prime factor tree breaks down a composite number into its prime factors. It provides examples breaking down the number 36 into prime factors of 2, 2, and 3 written as exponents. The goal is to keep reducing factors down to their lowest prime factors, then rearrange from least to greatest and write as exponents. The prime factor tree for 36 will always be 2^2 x 3 regardless of the initial factors chosen to break it down.
The document is notes for a lesson on tangent planes. It provides definitions of tangent lines and planes, formulas for finding equations of tangent lines and planes, and examples of applying these concepts. Specifically, it defines that the tangent plane to a function z=f(x,y) through the point (x0,y0,z0) has normal vector (f1(x0,y0), f2(x0,y0),-1) and equation f1(x0,y0)(x-x0) + f2(x0,y0)(y-y0) - (z-z0) = 0 or z = f(x0,y0) +
The document consists of a single sentence repeated over 100 times: "For More Islamic Books Visit Islamilibrary.blogspot.com". It appears to be promoting an Islamic book library website.
Dajjal: The False Messiah
Imam Ibn Kathir
Language: English | Format: PDF | Pages: 51 | Size: 25 MB
The Prophet not only warned his Ummah against Dajjal; the false Messiah, but stated in detail his colour, height, width, eye-shape, inscriptions on his forehead, his seductions, his method of aberrance, how to escape from his temptations, his current location, and so on. All the details about Dajjal are here in this book.
Imam Ibn Kathir
He was Emaad Ed-Deen Isma’eel Ibn ‘Umar Ibn ibn Katheer , originally from Busra (Syria) – and raised in Damascus. He followed the Shafi`ee school of thought. Ibn Kathir was born in the year 700 AH or little later in an area called Majdal, near Busra, west of Damascus. His father died when he was only four years old and was taken in by his brother and moved to Damascus in 706. Here, he learned from great scholars such as Ibn Asakir, Ishaq ibn Yahya al-Amudi and the great Ibn Taymiyyah who was extremely close to him. He also studied under various other sheikhs who gave him permission in fiqh and Hadith. He made many academic contributions to Islamic sciences.
He made many academic contributions to Islamic sciences. The following are amongst his most prominent:
Tafseer of the Qur’an, Al-Bidayah wan-Nihayah: a history of Muslims from Adam until Ibn Kathir’s time, At-Takmeel: a book on the science of Asmaaul Rijal (profiles of transmitters of Hadith), Jami`ul Masaneed: a book that collects the Hadith from ten major books of Hadith, , The classes of Shafi`ee scholars: a list of scholars following the Imam, Extraction of the traditions of Tanbeeh (a Shafi`ee book of jurisprudence), The commentary on al-Bukhari (which he did not finish), The book of laws (again, he did not complete it), The summary to the science of Hadith; a synopsis to the introduction of Ibn Saah’s work, Extraction of the traditions to the summary of Ibn Hajib, Musnad of the two sheikhs (Abu Bakr and Umar), Biography of the Prophet, sallallahu `alayhi wa sallam, The epistle of Jihad.
Many of These have been translated into the English Language (Even though some are Abrdged Translations),
Al-Hafiz Ibn hajar Al-Asqalani said,”Ibn Kathir lost his sight just before his life ended. He died in Damascus in 774A.H. May Allah grant him Mercy and make him amongst the residents of Jannah (Heavenly Garden).
Mathematics is defined as the science dealing with logic, quantity, and arrangement. It includes areas like geometry, algebra, and calculus. Mathematics helps analyze structures, make calculations, and draw conclusions. Some influential mathematicians mentioned include Euclid, Euler, Gauss, Newton, Leibniz, Pythagoras, and Turing. Euler was known as the "king of math" and made important contributions like generalizing Fermat's Little Theorem. Gauss was a child prodigy known as the "Prince of Mathematics." Euclid was influential for his work in geometry and is considered the "Father of Mathematics."
The document discusses tangent planes and normal lines to surfaces. It defines a tangent plane at a point P on a surface z=f(x,y) as having an equation involving the partial derivatives of f at P. A normal line to a curve at a point P is perpendicular to the tangent line at P, with slope given by the negative reciprocal of the tangent slope. The normal line to a surface z=f(x,y,z) at a point P passes through P with direction given by the gradient of f at P.
The document explains how to construct a prime factor tree. A prime factor tree breaks down a composite number into its prime factors. It provides examples breaking down the number 36 into prime factors of 2, 2, and 3 written as exponents. The goal is to keep reducing factors down to their lowest prime factors, then rearrange from least to greatest and write as exponents. The prime factor tree for 36 will always be 2^2 x 3 regardless of the initial factors chosen to break it down.
The document discusses the types of divine revelations in Islam and defines hadith and sunnah. It explains that hadith refers to reported sayings or actions of the prophet Muhammad, while sunnah refers to the prophet's model behavior. The document also addresses criticisms of the preservation of hadith, responding that hadith were preserved through memorization, practice, and documentation during the prophet's lifetime. It provides categories of hadith authenticity and clarifies that Bukhari and Muslim do not contain all authentic hadith.
This document discusses the history and importance of hadith in Islam. It describes the compilation of hadith over time, from the Prophet's lifetime through various eras. Precautions were taken to verify the chain of transmission and content of hadith. Hadith are considered the second source of Islamic law after the Quran, as they explain how to implement Quranic teachings and provide context where the Quran is silent.
This document introduces probability and how it is calculated. Probability is defined as the number of desired outcomes divided by the total number of possible outcomes. Examples are given of calculating the probability of rolling a 2 on a standard die or drawing a Queen of clubs from a standard 52-card deck. The document also states that the probability of all events happening is 1 or 100% and the probability of an event not happening is 1 minus the probability of the event happening. Homework problems from page 324 numbers 1-8 are assigned.
A prime number is a whole number greater than 1 that is only divisible by 1 and itself. A composite number is one that has divisors other than 1 and itself. The document then explains that prime numbers follow a pattern of being multiples of 6 plus or minus 1 (6n±1), and provides a two-step process for determining if a number is prime or composite: 1) check if it is a multiple of 6 plus or minus 1, and 2) check if it is divisible by any numbers up to its square root.
Probability refers to the chance that something will occur. A certain probability means something is guaranteed to happen, while an unlikely probability means something probably won't occur. Likely and unlikely probabilities compare the chances of different outcomes, with likely meaning a good chance and unlikely meaning a poor chance. Impossible refers to something that can never happen no matter what.
The document summarizes the story of Prophet Yusuf (Joseph) from the Quran. It describes how Joseph's brothers grew jealous of their father's favoritism towards him and plotted to get rid of him. They threw him into a well and later lied to their father that a wolf had killed Joseph. Despite the difficulties Joseph faced, he remained patient and found comfort in praying to Allah.
Salam and its importance in islam-Updated in UrduAsad Ahmed
Salaam and its importance in Islam presented now in Urdu for the readers.
"Salaam is the basic rule for etiquette in Islam and essentials for Muslims".
The statue of the Happy Prince stood overlooking the city. One night, a little swallow decided to rest at the foot of the statue. The Happy Prince, who could now see all the suffering in the city, asked the swallow to help the poor by taking the jewels from his statue. The swallow agreed and helped many people by taking the jewels. Though it grew cold, the swallow stayed loyal to the Prince until there were no more jewels left. The swallow then died at the Prince's feet. When the statue was melted down, only the Prince's lead heart remained. God took the heart and swallow's body to his garden as the two nicest things on Earth.
This document discusses the importance of hadith, or sayings and traditions of the Prophet Muhammad. It defines hadith, explains how hadith are classified and preserved, and the process of hadith criticism. The key points are that hadith were passed down orally and recorded during the Abbasid period to address contradictions. Scholars developed stringent criteria for authenticating hadith, including assessing narrator reliability and checking for inconsistencies. The document stresses following the Sunnah and hadith provides guidance for Muslims.
All the world's a stage poem theme, analysis,summaryFatiha Qureshi
This document contains a summary of William Shakespeare's poem "All the World's a Stage" which describes the seven stages of human life. It begins by providing context for the poem and explaining that Shakespeare compares life to a play where people enter the world at birth and exit at death, playing many roles. It then outlines each of the seven stages: (1) infant, (2) schoolboy, (3) lover, (4) soldier, (5) justice, (6) old man, (7) second childhood. For each stage it provides the relevant lines from the poem and an explanation of that period of life. It concludes by saying the poem illustrates Shakespeare's view of life as a drama and humanity as actors
The document provides details about an online pet shop business plan called nabanna.com. It includes sections on the company summary which outlines the brand, products, staffing, facilities, and startup expenses. It then summarizes the products and services, market analysis including segmentation and competitors, and marketing strategy which will focus on customer service and home delivery. Finally, it outlines management including roles and the financial plan with sales and expense projections over five years.
POEMS RAIN, LOVELIEST THE TREE THE CHERRY NOW, O WHERE ARE YOU GOING, SINDHI WOMAN, IN THE STREET OF FRUIT STALLS, HOLLOW MEN, TIMES, THE FEED, LEISURE, RUBAIYAT, THE TALE OF TWO CITIES, MY FRIENDS NEIGHBOUR BREATHING HIS LAST, HE CAME TO KNOW HIMSELF, GOD'S ATTRIBUTES, LOVE-AN ESSENCE OF ALL THE RELIGIONS, IN THE BROKEN IMAGES
This poem describes the seven stages of a man's life as portrayed in Shakespeare's play "As You Like It". Each stage is a different role or character that man plays on the stage of the world. The seven stages are: 1) infant, 2) schoolboy, 3) lover, 4) soldier, 5) justice, 6) elderly gentleman, and 7) old man facing death - where he returns to a state of childishness and oblivion.
Mathematics is applied directly and indirectly in many aspects of daily life. [Geometry is used in nature like honeycomb cells and in car design with circles, rectangles, and quarter spheres.] [Medicine uses protein modeling and geometry.] [Engineering applies math to determine materials and solar energy.] [Forensics uses calculus to clarify blurred images.] [Trigonometry helps find heights of objects.] [Number theory creates codes and helps with bulk purchasing costs.] [Calculus studies change and is used in acceleration, satellite movement, and more.] Mathematics plays a key role in many fields.
The document discusses the history of chocolate, from its origins in Mesoamerica to its spread throughout Europe. Cacao beans were first used as currency and medicine by the Olmec and Mayans. Spanish conquistadors introduced chocolate to Europe in the 16th century, where it became a popular drink among the elite. By the 19th century, chocolate had evolved into a global commodity and mass-produced confectionery item.
This document does not provide any apparent essential information in 3 sentences or less. It consists of a series of blank lines without any text content.
The document discusses the history and importance of chocolate in human civilization. It details how chocolate originated from cacao plants in South and Central America and was first consumed as a drink by Mesoamerican cultures like the Mayans and Aztecs. It then explains how chocolate spread throughout Europe after its discovery by Europeans and is now one of the most popular flavors and commodities worldwide.
This document discusses the development of a new type of battery that could revolutionize energy storage. It describes how the battery uses a solid electrolyte material that conducts ions quickly and prevents fires. The solid-state battery prototype demonstrated higher energy density and could fully charge in just 15 minutes. Mass production of this solid-state battery technology would allow for longer-range electric vehicles and more renewable energy on the grid.
The document consists of a repetitive watermark stating that it does not appear in the registered version and providing a URL. It provides no other substantive information beyond promoting a website in its repeated text.
The document discusses the types of divine revelations in Islam and defines hadith and sunnah. It explains that hadith refers to reported sayings or actions of the prophet Muhammad, while sunnah refers to the prophet's model behavior. The document also addresses criticisms of the preservation of hadith, responding that hadith were preserved through memorization, practice, and documentation during the prophet's lifetime. It provides categories of hadith authenticity and clarifies that Bukhari and Muslim do not contain all authentic hadith.
This document discusses the history and importance of hadith in Islam. It describes the compilation of hadith over time, from the Prophet's lifetime through various eras. Precautions were taken to verify the chain of transmission and content of hadith. Hadith are considered the second source of Islamic law after the Quran, as they explain how to implement Quranic teachings and provide context where the Quran is silent.
This document introduces probability and how it is calculated. Probability is defined as the number of desired outcomes divided by the total number of possible outcomes. Examples are given of calculating the probability of rolling a 2 on a standard die or drawing a Queen of clubs from a standard 52-card deck. The document also states that the probability of all events happening is 1 or 100% and the probability of an event not happening is 1 minus the probability of the event happening. Homework problems from page 324 numbers 1-8 are assigned.
A prime number is a whole number greater than 1 that is only divisible by 1 and itself. A composite number is one that has divisors other than 1 and itself. The document then explains that prime numbers follow a pattern of being multiples of 6 plus or minus 1 (6n±1), and provides a two-step process for determining if a number is prime or composite: 1) check if it is a multiple of 6 plus or minus 1, and 2) check if it is divisible by any numbers up to its square root.
Probability refers to the chance that something will occur. A certain probability means something is guaranteed to happen, while an unlikely probability means something probably won't occur. Likely and unlikely probabilities compare the chances of different outcomes, with likely meaning a good chance and unlikely meaning a poor chance. Impossible refers to something that can never happen no matter what.
The document summarizes the story of Prophet Yusuf (Joseph) from the Quran. It describes how Joseph's brothers grew jealous of their father's favoritism towards him and plotted to get rid of him. They threw him into a well and later lied to their father that a wolf had killed Joseph. Despite the difficulties Joseph faced, he remained patient and found comfort in praying to Allah.
Salam and its importance in islam-Updated in UrduAsad Ahmed
Salaam and its importance in Islam presented now in Urdu for the readers.
"Salaam is the basic rule for etiquette in Islam and essentials for Muslims".
The statue of the Happy Prince stood overlooking the city. One night, a little swallow decided to rest at the foot of the statue. The Happy Prince, who could now see all the suffering in the city, asked the swallow to help the poor by taking the jewels from his statue. The swallow agreed and helped many people by taking the jewels. Though it grew cold, the swallow stayed loyal to the Prince until there were no more jewels left. The swallow then died at the Prince's feet. When the statue was melted down, only the Prince's lead heart remained. God took the heart and swallow's body to his garden as the two nicest things on Earth.
This document discusses the importance of hadith, or sayings and traditions of the Prophet Muhammad. It defines hadith, explains how hadith are classified and preserved, and the process of hadith criticism. The key points are that hadith were passed down orally and recorded during the Abbasid period to address contradictions. Scholars developed stringent criteria for authenticating hadith, including assessing narrator reliability and checking for inconsistencies. The document stresses following the Sunnah and hadith provides guidance for Muslims.
All the world's a stage poem theme, analysis,summaryFatiha Qureshi
This document contains a summary of William Shakespeare's poem "All the World's a Stage" which describes the seven stages of human life. It begins by providing context for the poem and explaining that Shakespeare compares life to a play where people enter the world at birth and exit at death, playing many roles. It then outlines each of the seven stages: (1) infant, (2) schoolboy, (3) lover, (4) soldier, (5) justice, (6) old man, (7) second childhood. For each stage it provides the relevant lines from the poem and an explanation of that period of life. It concludes by saying the poem illustrates Shakespeare's view of life as a drama and humanity as actors
The document provides details about an online pet shop business plan called nabanna.com. It includes sections on the company summary which outlines the brand, products, staffing, facilities, and startup expenses. It then summarizes the products and services, market analysis including segmentation and competitors, and marketing strategy which will focus on customer service and home delivery. Finally, it outlines management including roles and the financial plan with sales and expense projections over five years.
POEMS RAIN, LOVELIEST THE TREE THE CHERRY NOW, O WHERE ARE YOU GOING, SINDHI WOMAN, IN THE STREET OF FRUIT STALLS, HOLLOW MEN, TIMES, THE FEED, LEISURE, RUBAIYAT, THE TALE OF TWO CITIES, MY FRIENDS NEIGHBOUR BREATHING HIS LAST, HE CAME TO KNOW HIMSELF, GOD'S ATTRIBUTES, LOVE-AN ESSENCE OF ALL THE RELIGIONS, IN THE BROKEN IMAGES
This poem describes the seven stages of a man's life as portrayed in Shakespeare's play "As You Like It". Each stage is a different role or character that man plays on the stage of the world. The seven stages are: 1) infant, 2) schoolboy, 3) lover, 4) soldier, 5) justice, 6) elderly gentleman, and 7) old man facing death - where he returns to a state of childishness and oblivion.
Mathematics is applied directly and indirectly in many aspects of daily life. [Geometry is used in nature like honeycomb cells and in car design with circles, rectangles, and quarter spheres.] [Medicine uses protein modeling and geometry.] [Engineering applies math to determine materials and solar energy.] [Forensics uses calculus to clarify blurred images.] [Trigonometry helps find heights of objects.] [Number theory creates codes and helps with bulk purchasing costs.] [Calculus studies change and is used in acceleration, satellite movement, and more.] Mathematics plays a key role in many fields.
The document discusses the history of chocolate, from its origins in Mesoamerica to its spread throughout Europe. Cacao beans were first used as currency and medicine by the Olmec and Mayans. Spanish conquistadors introduced chocolate to Europe in the 16th century, where it became a popular drink among the elite. By the 19th century, chocolate had evolved into a global commodity and mass-produced confectionery item.
This document does not provide any apparent essential information in 3 sentences or less. It consists of a series of blank lines without any text content.
The document discusses the history and importance of chocolate in human civilization. It details how chocolate originated from cacao plants in South and Central America and was first consumed as a drink by Mesoamerican cultures like the Mayans and Aztecs. It then explains how chocolate spread throughout Europe after its discovery by Europeans and is now one of the most popular flavors and commodities worldwide.
This document discusses the development of a new type of battery that could revolutionize energy storage. It describes how the battery uses a solid electrolyte material that conducts ions quickly and prevents fires. The solid-state battery prototype demonstrated higher energy density and could fully charge in just 15 minutes. Mass production of this solid-state battery technology would allow for longer-range electric vehicles and more renewable energy on the grid.
The document consists of a repetitive watermark stating that it does not appear in the registered version and providing a URL. It provides no other substantive information beyond promoting a website in its repeated text.
The document describes a blog called urdukitabain.blogspot.com that provides free online books, novels, stories and poetry in Urdu. It aims to promote Urdu literature and make it accessible to readers worldwide. The blog allows users to read popular Urdu literature online or download full books in PDF, DJVU and other formats. A wide range of genres are available, including fiction, non-fiction, religion and children's books.