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# Two-point Form of a Line
We will discuss here about the method of finding the equation of a straight line in the two point form.
To find the equation of a straight line in the two point form,
Let AB be a line passing through two points A (x$$_{1}$$, y$$_{1}$$) and B (x$$_{2}$$, y$$_{2}$$).
Let the equation of the... |
# Precalculus : Add, Subtract, Multiply, and Divide Functions
## Example Questions
### Example Question #1 : Algebra Of Functions
Fully expand the expression:
None of the other answers
Explanation:
The first step is to rewrite the expression:
Now that it is expanded, we can FOIL (First, Outer, Inner, Last) the e... |
Patterns in Whole Numbers
# Patterns in Whole Numbers
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• Patterns in Whole Numbers
• Line
• Square
• Rectangle
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• What’s Next?
In the previous segment, we learnt some tricks to add, s... |
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# 1.4: Solving Right Triangles
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Solve right triangles.
• Find the area of any triangle using trigonometry.
• Solve ... |
# Class 8 NCERT Solutions – Chapter 16 Playing with Numbers – Exercise 16.1
Last Updated : 24 Nov, 2020
### Question 1.
3 A
+ 2 5
——–
B 2
——–
Solution:
A + 5 we get the unit digit as 2
if A = 7 , we get 7 + 5 = 12
The value of B = 1(carry) + 3 + 2 = 6
Hence the addition is
3 7
+ 2 5
——–
... |
# Roots of a Quadratic Equation with Real Coefficients
## Roots of a Quadratic Equation with Real Coefficients
An equation of the form ax² + bx + c = 0 … (i)
Where a ≠ 0, a, b, c є R is called quadratic equation with real coefficients.
The quality D = b² – 4ac is known as the discriminant of the quadratic equation ... |
# Real Mathematics – Geometry #4
Geometry has a sacred book: Elements. Author of Elements, Euclid, used only these tools when he discovered his geometry:
A compass and an unmarked ruler… He showed what can or can’t be done with them in geometry.
Dividing a Finite Straight Line into Two Equal Parts
We already know t... |
# Does a rectangle add up to 360?
D
## Does a rectangle add up to 360?
Angles of Rectangle Properties There are four interior angles, each angle is a right angle. The sum of the interior angles of a rectangle is 360°.
Is a rectangle All 90 degrees?
A rectangle can be defined as a four-sided quadrilateral with all ... |
# How do you graph y = sqrt (3x) + 4 by plotting point?
Oct 7, 2017
$y = \sqrt{3 x} + 4$
graph{sqrt(3x)+4 [-10.38, 9.62, -5, 5]}
$y = \sqrt{3} x + 4$
graph{sqrt3x+4 [-10.38, 9.62, -5, 5]}
#### Explanation:
1) If given equation is $y = \sqrt{3 x} + 4$
$x = 0 , y = 4$
$x = 1 , y = \sqrt{3} + 4$
$x = 2 , y = \sqrt{6}... |
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Understanding 72 as a Fraction
When we talk about numbers, they can often be expressed in different forms. One of the common alternative forms for numbers is fractions. In this article, we will explore how to express the number 72 as a fraction, both in the simplest form and in decimal form.
Expressing 72... |
# Length
```Length
and
UNITS OF
MEASUREMENT
LESSON TARGET:
Understand that there are different
measuring units and that those units
can be converted into other units.
1.
What is length?
2. When I want to know
how long something is,
what do I do?
Length can be measured in
different units.
millimeter
mm
centimeters
cm
m... |
# How to find the area of the parallelogram?
Leonid Veselov
August 16, 2012
26998
Before we learn how to find the area of a parallelogram, we need to remember what a parallelogram is and what is called its height. A parallelogram is a quadrilateral whose opposite sides are in pairs parallel (lie on parallel strai... |
# Trig identity proofs solver
Here, we debate how Trig identity proofs solver can help students learn Algebra. Keep reading to learn more!
## The Best Trig identity proofs solver
Math can be a challenging subject for many students. But there is help available in the form of Trig identity proofs solver. There are a f... |
# GSEB Solutions Class 11 Statistics Chapter 4 Measures of Dispersion Ex 4.2
Gujarat Board Statistics Class 11 GSEB Solutions Chapter 4 Measures of Dispersion Ex 4.2 Textbook Exercise Questions and Answers.
## Gujarat Board Textbook Solutions Class 11 Statistics Chapter 4 Measures of Dispersion Ex 4.2
Question 1.
A ... |
# Pursuit Curve. Dog Chases Rabbit. Calculus 4.
(a) In Example 1.21, assume that $a$ is less than $b$ (so that $k$ is less than $1$) and find $y$ as a function of $x$. How far does the rabbit run before the dog catches him?
(b) Assume now that $a=b$, and find $y$ as a function of $x$. How close does the dog come to t... |
# How to Create a Tape Diagram
How to create a tape diagram? You can quickly solve word problems and better understand various math concepts with a tape diagram, and it also helps you simplify complex problems and understand mathematical relationships.
## 1. Introduction
Knowing how to draw and solve mathematic prob... |
# Direct and Inverse Proportions Class 8 Maths Notes Chapter 13
According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 11.
When two variables change in the same sense i.e., as one amount increases, the other amount also increases at the same rate it is called direct proportionality. When ... |
# Bellringer (copy at top of notes) #1.Simplify | -9 – (-5) | #2. Find the opposite and the reciprocal of 13/8. #3.Simplify 8 * 3 – 8 ÷ 4.
## Presentation on theme: "Bellringer (copy at top of notes) #1.Simplify | -9 – (-5) | #2. Find the opposite and the reciprocal of 13/8. #3.Simplify 8 * 3 – 8 ÷ 4."— Presentation t... |
# How do you write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = –3x + 1?
##### 1 Answer
May 29, 2016
$y = \frac{1}{3} x + 5$
#### Explanation:
The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is
$\textcolor{red}{| \overline{\un... |
# 8.4 An Introduction to Functions: Linear Functions, Applications, and Models Part 1: Functions.
## Presentation on theme: "8.4 An Introduction to Functions: Linear Functions, Applications, and Models Part 1: Functions."— Presentation transcript:
8.4 An Introduction to Functions: Linear Functions, Applications, and ... |
# 1.2 Elasticity: Price elasticity of demand (PED)
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## Transcription
1 1.2 Elasticity: Price elasticity of demand (PED) Learning Outcomes Explain the concept of price elasticity of demand, understanding that it involves responsiveness of quantity demanded to a, along... |
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# SNAP Percentage Questions PDF [Most Important]
The percentage is an important topic in the Quant section of the SNAP Exam. You can also download this Free Percentage Questions for SNAP PDF with detailed answers by Cracku. These questions will help you practice and solve the Percentage questions in the SNAP e... |
# Common Core: 6th Grade Math : Recognize Opposite Signs of Numbers as Indicating Locations on Opposite Sides of 0 on the Number Line: CCSS.Math.Content.6.NS.C.6a
## Example Questions
← Previous 1 3 4 5 6 7 8 9 10
### Example Question #1 : Recognize Opposite Signs Of Numbers As Indicating Locations On Opposite Sides... |
Larry Riddle, Agnes Scott College
### Dihedral Group and Triangle Fractals
#### Dihedral Group
The six transformations of an equilateral triangle shown below form a finite group called the dihedral group of order 6. Transformations 2 and 3 are counterclockwise rotations by 120° and 240°, respectively. Transformation... |
# Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nthweek, her week, her weekly savings become Rs 20.75, find n. - Mathematics
Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nthweek, her week, her weekl... |
# NCERT Solutions for Class 8 Maths Chapter 11 Exercise 11.1 – Mensuration
NCERT Solutions for Class 8 Maths Chapter 11 Exercise 11.1 – Mensuration, has been designed by the NCERT to test the knowledge of the student on the topic – Mensuration Introduction
### NCERT Solutions for Class 8 Maths Chapter 11 Exercise 11.... |
# How do you combine (x-10)/(x-8)-(x+10)/(8-x)?
Feb 4, 2017
See the entire solution process below:
#### Explanation:
First, we need to put the fractions over common denominators. We can do this by multiplying the first fraction by the appropriate form of $1$:
$\left(\frac{- 1}{-} 1 \times \frac{x - 10}{x - 8}\righ... |
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# Define Ellipses
Define Ellipses In mathematics , geometry is define as the warehouse of several figures that are expressed through different types of expression. In geometry there is one figure that is define as the Ellipse. According to the definition of ellipse , it is a set of points that a... |
6.4 Average Project Shum Science for Kids
Contents
# Mode
The mode is the score that occurs most frequently. For example, the mode in the set {6, 3, 2, 3, 7, 8, 2, 3, 6, 2} is 2, because it occurs 3 times, more time than the other numbers.
In the above histogram example, the mode is the most recurring score.
Her... |
# Factors and Multiples
Factors and Multiples – Definition
Factors – The factors of a numbers are those numbers by which that number is completely divisible, with a remainder of 0.
Multiple – A multiple is the product of two or more factors.
### Examples of Factors and Multiples
Example 1
Determine whether 4 is t... |
A vector algebra is an algebra where the terms are denoted by vectors and operations are performed corresponding to algebraic expressions. The "Distributive Law" is the BEST one of all, but needs careful attention. However, if you convert the subtraction to an addition, you can use the commutative law - both with norma... |
# Total positive solution of a linear equation?
I have a linear equation in four variable
$a + b + c + d = 10$
given that $a, b, c, d > 0$ and $a,b,c,d <= 6$ and $a,b,c, d$ are integer
what are total possible solution ?
-
@Clayton - yes! – AppDeveloper Jan 30 '13 at 23:38
Let's first enumerate the solutions with ... |
# 2020 USAMO Problems/Problem 1
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem 1
Let $ABC$ be a fixed acute triangle inscribed in a circle $\omega$ with center $O$. A variable point $X$ is chosen on minor arc $AB$ of $\omega$, and segments $CX$ and $AB$ meet at $D$. Denote by $... |
KIRCHHOFF'S CURRENT LAW
In this post, I will try to teach you perfectly about the Kirchhoff’s Current Law. The things that we are going to discuss here are given below.
• INTRODUCTION
• STATEMENT
• EXAMPLE
• PRACTICE PROBLEMS
INTRODUCTION
We will now consider the law named for Gustav Robert Kirchhoff (two h’s and t... |
# Examples of Regular Expression
### Example 1:
Solution:
In a regular expression, the first symbol should be 1, and the last symbol should be 0. The r.e. is as follows:
R = 1 (0+1)* 0
### Example 2:
Write the regular expression for the language starting and ending with a and having any having any combination of ... |
Height of a Binary Tree
ANKIT MITTAL
Last Updated: May 13, 2022
Introduction
A binary tree is an important data structure with applications in computer science, from operating systems to building servers. Using binary trees can reduce the complexity of various problems to a large extent.
The depth of a tree node is... |
# From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm,
Question:
From a solid cylinder whose height is $2.4 \mathrm{~cm}$ and diameter $1.4 \mathrm{~cm}$, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest $\mathrm{cm}^... |
## What is the relationship between the factors and the roots?
The factor theorem states that if x = c is a root, (x – c) is a factor. For example, look at the following roots: If x = –1/2, (x – (–1/2)) is your factor, which you write as (x + 1/2). If x = –3 is a root, (x – (–3)) is a factor, which you write as (x + 3... |
1. ## Total Momentum?
The question:
In reconstructing an automobile accident, investigators study the total momentum, both before and after the accident, of the vehicles involved. The total momentum of two vehicles moving in the same direction is found by multiplying the weight of each vehicle by its speed and then a... |
# How Many Lines of Symmetry Does a Hexagon Have?
A hexagon is a six-sided polygon with straight sides and angles. It is one of the most common shapes in nature, and it appears in various forms, from snowflakes to honeycombs. Hexagons can be regular or irregular, convex or concave, but they all share a unique property... |
NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.6
# NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.6
Exercise 2.6
Ex 2.6 Class 7 Maths Question 1.
Find:
(i) 0.2 × 6
(ii) 8 × 4.6
(iii) 2.71 × 5
(iv) 20.1 × 4
(v) 0.05 × 7
(vi) 211.02 × 4
(vii) 2 × 0.86
Solution:
(i) 0.2 ... |
# Module 4: MATH AND DATA ANALYSIS
## Learning Objectives
After reading this lesson, you should be able to:
1. solve an ordinary differential equation using MATLAB.
## What is a differential equation?
An equation that consists of derivatives is called a differential equation. Differential equations have applicatio... |
# Is an acute angle 0 to 90 degrees?
In geometry and mathematics, acute angles are angles whose measurements fall between 0 and 90 degrees or has a radian of fewer than 90 degrees. When the term is given to a triangle as in an acute triangle, it means that all angles in the triangle are less than 90 degrees.
## Is an... |
# Measuring 3D Shapes: Volume and Surface Area Formulas
PolishedOklahomaCity
·
Start Quiz
Study Flashcards
## 12 Questions
### What is the formula for calculating the surface area of a cube?
$6s^2$
### How is the surface area of a cylinder calculated?
$2 ext{π}r(r + l) + 2 ext{π}r^2$
### What is the formula fo... |
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# Percentiles Help (page 2)
(not rated)
By — McGraw-Hill Professional
Updated on Aug 26, 2011
## Percential Points, Ranks, and Inversion
### Percential Points
We get around the foregoing conundrum by defining a scheme for calculating the positions of the percentile points in a se... |
# Fractions
* If a cake is cut into five pieces and three pieces are taken out of five pieces, then these three pieces are known as .
* Thus the relation to represent some part to the whole part is known as fraction.
* The upper part of the fraction is called Numerator and the lower part is called Denominator.
* For e... |
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# If $\theta$ lies in the third quadrant, then the expression $\sqrt {4{{\sin }^4}\theta + {{\sin }^2}2\theta } + 4{\cos ^2}(\dfrac{\pi }{4} - \dfrac{\theta }{2})$ equals 2.A. TrueB. False
Last updated date: 21st Jun 2024
Total views: 54.3k
Views... |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Oct 2019, 13:20
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
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You are viewing an older version of this Concept. Go to the latest version.
Consistent and Inconsistent Linear Systems
Systems with parallel or intersecting lines
Estimated6 minsto comp... |
# RD Sharma Solutions for Class 11 Chapter 10 - Sine and Cosine Formulae and their Applications Exercise 10.1
Exercise 10.1 of Chapter 10, we shall discuss problems based on the law of sines or sine rule. Highly experienced subject experts at BYJU’S having vast knowledge of concepts develop the solutions, which match ... |
# Linear Functions and Relations
## Presentation on theme: "Linear Functions and Relations"— Presentation transcript:
Linear Functions and Relations
Chapter 2 Linear Functions and Relations
In Chapter 2, You Will… Move from simplifying variable expressions and solving one-step equations and inequalities to working w... |
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# 15: More Transformations © Christine Crisp “Teach A Level Maths” Vol. 2: A2 Core Modules.
## Presentation on theme: "15: More Transformations © Christine Crisp “Teach A Level Maths” Vol. 2: A2 Core Modules."— Presentation transcript:
15: More Transformations © Christine Crisp “Teach A Level Maths” Vol. 2: A2 Core M... |
# Evaluate the definite integral of f=1/(x^2+2x+5) from 0 to 1 .
giorgiana1976 | Student
To evaluate the definite integral, we'll re-write the denominator.
x^2+2x+5 = x^2+2x+4+1
We'll group the terms: x^2+2x+1 = (x+1)^2
The denominator will become:
(x+1)^2 + 4
We'll write the integral:
Int f(x)dx = Int dx/(x^2+... |
How to find the total number of pages which a book has when the clues given indicate a range?
This problem doesn't seem very complicated but I got stuck at trying to understand what is the meaning of the last clue involving an integer and a range. Can somebody help me?
The problem is as follows:
Marina is reading a ... |
# Ordering Rational Positive Numbers Worksheet
A Rational Amounts Worksheet might help your kids become a little more knowledgeable about the ideas behind this rate of integers. Within this worksheet, college students are able to solve 12 diverse troubles associated with reasonable expression. They will likely learn t... |
### Playing with Numbers-Solutions Ex. 3.5
CBSE Class –VI Mathematics
NCERT Solutions
Chapter 3 Playing With Numbers (Ex. 3.5)
Question 1. Which of the following statements are true?
(a) If a number is divisible by 3, it must be divisible by 9.
(b) If a number is divisible by 9, it must be divisible by 3.
(c) If a nu... |
# Statistics – Regression Intercept Confidence Interval
Regression Intercept Confidence Interval, is a way to determine closeness of two factors and is used to check the reliability of estimation.
## Formula
R=β0±t(1−α2,n−k−1)×SEβ0R=β0±t(1−α2,n−k−1)×SEβ0
Where −
· β0β0 = Regression intercept.
· kk =... |
# Go Math Grade 3 Answer Key Chapter 4 Multiplication Facts and Strategies Assessment Test
This chapter can improve student’s math skills, by referring to the Go Math Grade 3 Answer Key Chapter 4 Multiplication Facts and Strategies Assessment Test, and with the help of this Go Math Grade 3 Assessment Test Answer Key, ... |
# How to multiply using the Urdhva Tiryagbyham technique?
Urdhva Tiryagbyham is a shortcut method/ Sutra 3 for the multiplication of all types of numbers in Vedic Mathematics. The English translation for the same is Vertically and Cross-wise. For numbers up to 3 digits, we can easily use the normal process of this met... |
# Partial Fractions
A LevelAQAEdexcelOCR
## Partial Fractions
Algebraic fractions that have a denominator with more than one linear factor can be split, or decomposed, into partial fractions. This can be particularly useful when integrating complex expressions or with binomial expansions.
Questions involving partia... |
# How do you graph h(x)=ln(x+1)?
Jan 2, 2017
$h \left(x\right)$ is the standard function $\ln \left(x\right)$ shifted (transformed) one unit left (negative) on the $x$-axis
#### Explanation:
$h \left(x\right) = \ln \left(x + 1\right)$
$\ln \left(x\right)$ is defined for $x > 0 \to h \left(x\right)$ is defined for ... |
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```Order of Operations rules for arithmetic and algebra
that describe what sequence to
involving more than one operation
The Rules
Step 1: Do operat... |
# The Graph y = mx + c has Slope m
Video Solutions to help Grade 6 students learn the slope of a line joining any two distinct points of the graph of y = mx + c has slope, m
## New York State Common Core Math Module 4, Grade 8, Lesson 17
### Lesson 17 Student Outcomes
• Students show that the slope of a line joinin... |
Review question
# Can we solve these equations for $a, b, x$ and $y$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R6871
## Solution
Find all values of $a$, $b$, $x$ and $y$ that satisfy \begin{align*} a+b &= 1 \\ ax+by &= \fr... |
# Difference between revisions of "2015 AMC 8 Problems/Problem 7"
Each of two boxes contains three chips numbered $1$, $2$, $3$. A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even?
$\textbf{(A) }\frac{1}{9}\qquad\textbf{(B) }\frac... |
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# Find the slope of the line passing through the points A(2,3) and B(4,7).
Last updated date: 22nd Jul 2024
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Hint: The slope is also known as gradient which describes the direction and the... |
Question
# Solve the following equation:${x^2} + xy + xz = 18, \\ {y^2} + yz + yz + 12 = 0, \\ {z^2} + zx + zy = 30. \\ \\ {\mathbf{A}}.\,x = \pm 2,y = \mp 2,z = \pm 4 \\ {\mathbf{B}}.\,x = \pm 3,y = \mp 2,z = \pm 5 \\ {\mathbf{C}}.\,\,x = \pm 4,y = \pm 5,z = \pm 5 \\ {\mathbf{D}}.\,{\text{None of the above}} \\$
Hin... |
# AP Statistics Curriculum 2007 Limits Poisson2Bin
(Difference between revisions)
Revision as of 01:33, 3 February 2008 (view source)IvoDinov (Talk | contribs)← Older edit Revision as of 01:34, 3 February 2008 (view source)IvoDinov (Talk | contribs) (→Examples)Newer edit → Line 9: Line 9: ===Examples=== ===Examples==... |
# How do you solve 10b^2 = 27b - 18 by factoring?
Aug 21, 2015
The solutions are:
color(blue)(b=6/5
color(blue)(b=3/2
#### Explanation:
$10 {b}^{2} - 27 b + 18 = 0$
We can Split the Middle Term of this expression to factorise it and thereby find solutions.
In this technique we need to think of 2 numbers such th... |
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# Horizontal line test
The horizontal line test is a method used in mathematics to determine if a function is one-to-one by checking if any horizontal line intersects the graph more than once. If a horizontal line crosses the graph at more than one point, the function is not bij... |
NCERT Solutions: Arithmetic Progressions (Exercise 5.1)
NCERT Solutions for Class 6 Maths - Arithmetic Progressions (Exercise 5.1)
Q1. In which of the following situations, does the list of numbers involved make an arithmetic progression and why?
(i) The taxi fare after each km when the fare is Rs 15 for the first km... |
# Subsequences
## 1. Introduction
This page is about subsequences of a sequence. A subsequence of a sequence $( a n )$ is an infinite collection of numbers from $( a n )$ in the same order that they appear in that sequence.
The main theorem on subsequences is that every subsequence of a convergent sequence $( a n )$... |
# How do you factor x^3 + 6x^2 - 9x - 54 by grouping?
Jul 23, 2016
(x+6)(x-3)(x+3)
#### Explanation:
Group the terms into 'pairs' as follows.
$\left[{x}^{3} + 6 {x}^{2}\right] + \left[- 9 x - 54\right]$
Now, factorise each 'pair'
$\textcolor{red}{{x}^{2}} \left(x + 6\right) \textcolor{red}{- 9} \left(x + 6\right... |
Triangle Congruence and Relationship of Angles Quiz
DexterousCouplet
·
·
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6 Questions
If two triangles have two sides and an included angle equal to a given angle, when can we conclude that the triangles are congruent?
When the two sides included in the angle are equal in length.
What ... |
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Equivalent expression is said to be equivalent if two algebraic expressions are equalized by substituting the values of the variables. We use the symbol “ = “ or “ $\equiv$ “ to denote the equivalent expression.... |
# Power of Power Index Law: The Ultimate Simplification Hack
As an experienced mathematics tutor, I’ve seen countless students struggle with simplifying complex expressions involving indices. However, the Power of Power Index Law is a powerful tool that can make the process much more manageable. In this article, we’ll... |
# How do you solve (3^{4} \div 9) + 32- ( 5\times 10) + 6?
Mar 29, 2018
See below.
#### Explanation:
To simplify this expression, we need to use a process called the Order of Operations.
This is more commonly known as $P E M D A S$, an acronym to describe the necessary steps (in order) of solving such an expressio... |
# 11.1 Transformations (I)
11.1 Transformations (I)
11.1.1 Transformation
A transformation is a one-to-one correspondence or mapping between points of an object and its image on a plane.
11.1.2 Translation
1. A translation is a transformation which moves all the points on a plane through the same distance in the sam... |
# Difference between revisions of "2016 AMC 10B Problems/Problem 23"
## Problem
In regular hexagon $ABCDEF$, points $W$, $X$, $Y$, and $Z$ are chosen on sides $\overline{BC}$, $\overline{CD}$, $\overline{EF}$, and $\overline{FA}$ respectively, so lines $AB$, $ZW$, $YX$, and $ED$ are parallel and equally spaced. What ... |
# Negative Fractions
Question: Where should I put the negative sign when I am writing a fraction like negative two thirds?
Answer: As long as you write only one negative sign, it does not matter where you put it.
Two ideas are useful to keep in mind during the explanation that follows:
– Subtraction is the same thin... |
Question Video: Differentiating Logarithmic Functions Using the Chain Rule | Nagwa Question Video: Differentiating Logarithmic Functions Using the Chain Rule | Nagwa
# Question Video: Differentiating Logarithmic Functions Using the Chain Rule Mathematics • Third Year of Secondary School
## Join Nagwa Classes
Find π... |
# Area - Mathematics Form 1 Notes
## Introduction
### Units of Areas
• The area of a plane shape is the amount of the surface enclosed within its boundaries. It is normally measured in square units. For example, a square of sides 5 cm has an area of
5 x 5 = 25 cm
• A square of sides 1 m has an area of 1 m, while a s... |
AC and DC are used widely in physics. AC stands for alternating current while DC stands for direct current. AC and DC are the types of electric current flow.
In this article, we will learn about the definition of AC and DC, the conversion of AC and DC & DC to AC along a lot of examples. We shall also discuss the appli... |
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# Solve the following equation $\dfrac{{x - 1}}{2} - x + 13 = 5 - x$
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Hint: Rearrange the given equation such that the unknown terms arranged on one side and all ... |
LCM that 4 and 6 is the the smallest number amongst all usual multiples of 4 and also 6. The first few multiples that 4 and also 6 space (4, 8, 12, 16, 20, 24, . . . ) and (6, 12, 18, 24, . . . ) respectively. There room 3 generally used approaches to find LCM that 4 and also 6 - by listing multiples, by element factor... |
# Question #0ed08
May 5, 2016
$\left(x , y\right) = \left(- 4 , 1\right)$
#### Explanation:
Performing the multiplication, first, we have
${A}^{2} = {\left(\begin{matrix}3 & 2 \\ 1 & 1\end{matrix}\right)}^{2} = \left(\begin{matrix}3 & 2 \\ 1 & 1\end{matrix}\right) \left(\begin{matrix}3 & 2 \\ 1 & 1\end{matrix}\rig... |
# S.2 Confidence Intervals
S.2 Confidence Intervals
Let's review the basic concept of a confidence interval.
Suppose we want to estimate an actual population mean $$\mu$$. As you know, we can only obtain $$\bar{x}$$, the mean of a sample randomly selected from the population of interest. We can use $$\bar{x}$$ to fi... |
Solving inverse functions
We will also give you a few tips on how to choose the right app for Solving inverse functions. Our website can solve math problems for you.
Solve inverse functions
Are you struggling with Solving inverse functions? In this post, we will show you how to do it step-by-step. In mathematics, "s... |
# OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF CIRCULAR SOLIDS 12.3 Surface Areas of Circular Solids.
## Presentation on theme: "OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF CIRCULAR SOLIDS 12.3 Surface Areas of Circular Solids."— Presenta... |
## Presentation on theme: ""— Presentation transcript:
Intervals of Continuity
Even though not all functions are continuous on all real numbers (i.e., everywhere), we can still talk about the continuity of a function in terms of intervals. As you may recall, there are three kinds of intervals: open intervals, closed i... |
# How do you find the derivative of y = e^cosh(2x)?
Jun 7, 2016
$\frac{d}{\mathrm{dx}} \left({e}^{\cosh \left(2 x\right)}\right) = {e}^{\cosh \left(2 x\right)} \sinh \left(2 x\right) 2$
#### Explanation:
$\frac{d}{\mathrm{dx}} \left({e}^{\cosh \left(2 x\right)}\right)$
Applying the chain rule, $\frac{\mathrm{df} \l... |
# Question Video: Finding the Probability of Getting an Odd Number When Rolling a Die Mathematics
For a single roll of a fair six-sided die, find the probability of getting an odd number.
02:20
### Video Transcript
For a single roll of a fair six-sided die, find the probability of getting an odd number.
We’ll draw... |
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# Synthetic Division of Polynomials
The volume of a rectangular prism is 2x3+5x2−x−6. Determine if 2x+3 is the length of one of the prism's sides.
# Synthetic Division
Synthetic division is an alternative to long division. It can also be used to divide a polynomial by a possible factor, x−k. Ho... |
# Checking Solutions to Inequalities
## Substitute values for variables to check inequality solutions
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# Test yourself now
High marks in science are the key to your success and future plans. Test yourself and learn more on Siyavula Practice.
## 1.9 Chapt... |
# How do you add -9/8+7/4?
Sep 20, 2016
$- \frac{9}{8} + \frac{7}{4} = \frac{5}{8}$
#### Explanation:
WE have denominators $4$ and $8$ here and their GCD is $8$, hence we can add them by converting them to common GCD.
$- \frac{9}{8} + \frac{7}{4}$
= $- \frac{9}{8} + \frac{7 \times 2}{4 \times 2}$
= $- \frac{9}{8... |
# How do you use substitution to integrate (r^2) √(r^(3) +3)dr?
##### 1 Answer
Mar 25, 2018
$\int {r}^{2} / \sqrt{{r}^{3} + 3} \mathrm{dr} = \frac{2}{3} \sqrt{{r}^{3} + 3} + C$
#### Explanation:
So, we want to determine
$\int {r}^{2} / \sqrt{{r}^{3} + 3} \mathrm{dr}$
The substitution should be picked in such a wa... |
## Riddler Express
While watching batter spread out on my waffle iron, and thinking back to a recent conversation I had with Friend-of-The-Riddler™ Benjamin Dickman, I noticed the following sequence of numbers:
$$1, 4, 4, 0, 4, 8, 0, 0, 4, 4, 8, …$$
Before you ask — yes, you can find this sequence on the On-Line Enc... |
# Steps to solve Quadratic or polynomial inequalities
## Steps to solve Quadratic or polynomial inequalities
ax2+bx+c > 0
or
ax2+bx+c < 0
or
ax2+bx+c $\geq$ 0
or
ax2+bx+c $\leq$ 0
1) Obtain the Quadratic equation inequation
2) Pull all the terms having on one side and Simplify the equation in the form given above
3... |
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