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# Derivative of Composite Function
(Redirected from Chain Rule)
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## Theorem
Let $f, g, h$ be continuous real functions such that:
$\forall x \in \R: \map h x = \map {f \circ g} x = \map f {\map g x}$
Then:
$\map {h'} x = \map {f'} {\map g x} \map {g'} x$
where $h'$ denotes the derivati... | HuggingFaceTB/finemath | |
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In the previous STT5100 course, last week, we’ve seen how to use monte carlo simulations. The idea is that we do observe in statistics a sample $$\{y_1,\cdots,y_n\}$$, and more generally, in econometrics $$\{(y_1,\mathbf{x}_... | HuggingFaceTB/finemath | |
# Measurement of the Elasticity of Demand
## Measurement of the Elasticity of Demand
The measurement of elasticity of demand is the ratio of the percentage change in quantity demanded to the percentage change in price. There are three methods of measuring the elasticity of demand which are as follows
1. Total Outlay... | HuggingFaceTB/finemath | |
GSE Algebra I GSE Geometry GSE Algebra II GSE PreCalc Other Courses Calculus I Adv. Mathematical Decision Making Analytical Geometry ```CP-Statistics ``` `All Units` Coordinate Algebra Integrated Algebra I Integrated Geometry GPS Middle School Math Home > Adv. Math Decision Making >Unit 6 - Financial Decisions
Search ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 30/42 and 70/32
1st number: 30/42, 2nd number: 2 6/32
30/42 is smaller than 70/32
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 42 and 32 is 672
2. For the 1st fraction, since 42 × 16 = 672,
30/42 = 30 ... | HuggingFaceTB/finemath | |
#### Solution for 320739 is what percent of 537631:
320739:537631*100 =
(320739*100):537631 =
32073900:537631 = 59.66
Now we have: 320739 is what percent of 537631 = 59.66
Question: 320739 is what percent of 537631?
Percentage solution with steps:
Step 1: We make the assumption that 537631 is 100% since it is ou... | HuggingFaceTB/finemath | |
# Find probabilities from frequency trees
In this lesson, we will learn how to use frequency trees to find probabilities including revision on how to draw frequency trees given some information.
#### Unit quizzes are being retired in August 2023
Why we're removing unit quizzes from the website >
Quiz:
# Intro quiz ... | HuggingFaceTB/finemath | |
Burt Simon, 1981
Las Vegas Backgammon Magazine, December 1981 In recent issues of your magazine there have been several articles and letters concerning the option of "beavering" a double. The question is whether or not the beavering option would ever be used by skillful players (i.e., players who do not make foolish mi... | HuggingFaceTB/finemath | |
# Construct a Matrix whose sum of diagonals for each square submatrix is even
Given an integer N, the task is to construct a matrix M[][] of size N x N with numbers in range [1, N^2], such that the sum of diagonal elements for each square submatrix is even.
Examples:
Input: N = 2
Output:
1 2
4 3
Explanation:
This mat... | HuggingFaceTB/finemath | |
# 0.0 significant figures
• 121910marj
In summary, In this conversation, the two friends are arguing about how many significant figures a number has. One friend says that a number like 0.0000 does not have any significant figures, while the other says that it has 1 significant number and exact. The correct answer is t... | HuggingFaceTB/finemath | |
# Data Analysis in Excel(1)
Document Sample
``` Data Analysis in Excel
Analysis of Uncertainty
Learning Objectives
Learn to use statistical Excel functions:
average, median, min, max, stdev, var, varp,
standardize, normdist, norminv, normsinv
RAT 9b
General Excel Behavior
- Analyzes the range of cells you
spec... | HuggingFaceTB/finemath | |
# 4.6 Add and Subtract Mixed Numbers
The topics covered in this section are:
## 4.6.1 Model Addition of Mixed Numbers with a Common Denominator
So far, we’ve added and subtracted proper and improper fractions, but not mixed numbers. Let’s begin by thinking about addition of mixed numbers using money.
If Ron has $1$... | HuggingFaceTB/finemath | |
# Candy Corn Math Ideas and More!
October 29th, 2018
It’s Monday, October 29, 2018, and time for Math at ClickSchooling!
Recommended Website:
Candy Math
Age Range: All (All grades, children with parental supervision)
Harvest Festivals and Halloween are synonymous with candy. Use some of that candy to learn about ... | HuggingFaceTB/finemath | |
# Garden
The garden has a rectangular shape with lengths of 25 and 40 meters. It has been expanded so that each of its size increased by one fifth. How many square meters increased its acreage?
Result
x = 440 m2
#### Solution:
$a = 25 \ m \ \\ b = 40 \ m \ \\ S_{ 1 } = a \cdot \ b = 25 \cdot \ 40 = 1000 \ m^2 \ \... | open-web-math/open-web-math | |
# Rules For Adding And Subtracting Integers Worksheet
In Free Printable Worksheets231 views
4.09 / 5 ( 210votes )
Top Suggestions Rules For Adding And Subtracting Integers Worksheet :
Rules For Adding And Subtracting Integers Worksheet This quiz and worksheet help you see what you know about adding and subtracting d... | HuggingFaceTB/finemath | |
# GMAT Math : DSQ: Calculating the equation of a line
## Example Questions
### Example Question #43 : Lines
Find the equation of linear function given the following statements.
I)
II) intercepts the x-axis at 9.
Statement I is sufficient to answer the question, but Statement II is not sufficient to answer the q... | HuggingFaceTB/finemath | |
# question13,15,16,17,19
Harsh Patodia IIT Roorkee
9 years ago
For this either base should be 1 or power should be zero
for base as zero |cosx| = 1
x should be n
Cleary at n power is not 0 which implies different roots
now sin2x -3/2 (sinx) +1/2 =0
Solve it using midle term splitting we will get sinx= 1 or sinx= ½
fo... | HuggingFaceTB/finemath | |
News
# 23 Free Fractions Worksheets and Resources for KS4 Maths
Adding, subtracting, multiplying, finding equivalents, converting to decimals or percentages? Whatever you're doing with fractions, these activities and worksheets have you covered...
slideshow: image
### 1 | Celebrity cracker-eating challenge – Orderi... | HuggingFaceTB/finemath | |
# Lesson 20
Memory Test
### Lesson Narrative
This lesson is optional. It gives students a chance to use the material they have learned in the unit with the final goal of comparing two populations, but may be shortened or skipped due to time constraints.
In this lesson, students apply what they have learned about pr... | HuggingFaceTB/finemath | |
How does the mass of an object affect thermal energy?
How does the mass of an object affect thermal energy?
If the temperature doesn’t change but the mass of the object increases, the thermal energy in the object increases.
Is thermal energy proportional to mass?
Owing to the fact that the transferred heat is equal... | HuggingFaceTB/finemath | |
SEARCH HOME
Math Central Quandaries & Queries
Question from darlene, a student: I understand the simple process, like 12 is the root to 144 but what happens when the number is 42563. Without a calculator how does a person figure this out during a timed test?
Darlene,
1. Usually in a timed test without a calculator ... | HuggingFaceTB/finemath | |
Ex 1.4
Chapter 1 Class 12 Relation and Functions (Term 1)
Serial order wise ### Transcript
Ex 1.4, 7 Is * defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b a binary operation? Justify your answer. a * b = LCM of a & b Here a, b ∈ {1, 2, 3, 4, 5} Let a = 2, b = 3 a * b = 2 * 3 = LCM of 2 & 3 = 6 Since 6 ... | HuggingFaceTB/finemath | |
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Fraction of a Whole Check-in
Students have been hard at work on their fractions practice this year, so now it's time to see how far they've come. This end-of-year check-in will help you assess ... | HuggingFaceTB/finemath | |
# valence electrons and oxidation numbers worksheet
Browse our pre-made printable worksheets library with a variety of activities and quizzes for all K … Essential Concepts: Ions, ionic bonding, ionic compounds, ionic nomenclature, oxidation number, valence electrons. Na 2 o 2 na o 2. Transition metal cations have a c... | open-web-math/open-web-math | |
# Laplace Transform
By on
Laplace transforms and their inverse are a mathematical technique which allows us to solve differential equations, by primarily using algebraic methods. This simplification in the solving of equations, coupled with the ability to directly implement electrical components in their transformed ... | HuggingFaceTB/finemath | |
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# 1
Caesar Cipher
The Caesar cipher shifts all the letters in a piece of text by a certain number
of places. The key for this cipher is a letter which represents the number of
place for the shift. So, for example, a key D means shift 3 places and a
key M means shift 12 places. Note that a ... | HuggingFaceTB/finemath | |
Integers
## Integers
Integers are used to count objects.
An integer is another name for a whole number.
Integers greater than zero are positive numbers. Integers less than zero are negative numbers.
Zero is an integer.
The times table consists of integers. Numbers 3, 11, 45 and 136 are all integers.
A number wit... | HuggingFaceTB/finemath | |
Overview - Maple Help
Overview of the RootFinding:-Parametric Subpackage
Calling Sequence RootFinding:-Parametric:-command(arguments) command(arguments)
Description
• The RootFinding:-Parametric subpackage is designed for parametric systems of polynomial equations and inequalities. The subpackage provides routine... | HuggingFaceTB/finemath | |
# Quadratic Formula Solve For X
Filter Type:
## 41 Listing Results Quadratic Formula Solve For X
Preview
3 hours ago About the quadratic formula. Solve an equation of the form a x 2 + b x + c = 0 by using the quadratic formula: x =. − b ± √ b 2 − 4 a c. 2 a.
Preview
2 hours ago The quadratic formula is used to so... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Compare 80/6 and 5/40
1st number: 13 2/6, 2nd number: 5/40
80/6 is greater than 5/40
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 6 and 40 is 120
Next, find the equivalent fraction of both fraction... | HuggingFaceTB/finemath | |
#### Cable Picometer
##### How many Picometers are in 28 Cables?
The answer is 28 Cables are equal to 5185600000000000 Picometers. Feel free to use our online unit conversion calculator to convert the unit from Cable to Picometer. Just simply, enter value 28 in Cable and see the result in Picometer. You can also Conv... | HuggingFaceTB/finemath | |
## Algebra: A Combined Approach (4th Edition)
$5$ square yards
Step 1: $1$ yard= $3$ feet Step 2: Therefore, $1$ square yard = $9$ square feet Step 3: Using ratios, $45$ square feet must equal $45\times\frac{1}{9}= 5$ square yards | open-web-math/open-web-math | |
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
It is currently 27 May 2017, 22:34
### 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 Dail... | HuggingFaceTB/finemath | |
# Path connected subset of $\mathbb R^2$ that is locally connected at none of its points.
Let $X$ denote the rational points of the interval $[0,1]\times\{0\}$ of $\mathbb R^2$. Let $T$ denote the union of all line segments joining the point $p=(0,1)$ to points of $X$.
1. Find a subset of $\mathbb R^2$ that is path c... | HuggingFaceTB/finemath | |
## Tag Archives: application of basic calculus
### What is a catenary or a chain curve? A nice little application of basic calculus
Let us continue our exploration of basic calculus and its application. As you will discover, the invention of calculus is a triumph of the human intellect, it is a fountain head of many ... | HuggingFaceTB/finemath | |
# Modelling Beer Foam Decay
##### Citation preview
Jeremy Molayem Professor Haskell Calculus 125, 9:00 A.M. Section 4 November 2010 Modeling using Derivatives: The Decay of Beer Foam As beer foam decays, the change in volume of the foam should be proportional to the change in time. Change in V (volume) over volume sh... | HuggingFaceTB/finemath | |
# Compound Interest- Aptitude Questions and Answers - in Hindi
If the compound interest on a certain sum for 2 years at 12.5% per annum is 170, the simple interest will be? यदि प्रति वर्ष 12.5% की दर पर 2 साल के लिए एक निश्चित राशि पर चक्रवृद्धि ब्याज 170 है, तो साधारण ब्याज होगा? A) 200 B) 150 C) 160 D) 170 Correc... | HuggingFaceTB/finemath | |
# SERIES
In the previous articles, we discussed, in detail the hierarchy in which a candidate should attempt in the examination to score maximum marks in less time. The next topic in that order is SEQUENCE. There is every chance of getting 5 questions from this chapter and it is very easy to score 5 out of 5 marks i... | HuggingFaceTB/finemath | |
# Find the orthocenter of the triangle the equations of whose sides are x + y = 1, 2x + 3y = 6 and 4x – y + 4 = 0.
Given: Sides of triangle are are x + y = 1, 2x + 3y = 6 and 4x – y + 4 = 0.
Assuming: AB, BC and AC be the sides of triangle whose equation is are x + y = 1, 2x + 3y = 6 and 4x – y + 4 = 0.
To find:
Or... | HuggingFaceTB/finemath | |
# A Broken Line in 3D
### Solution 1
An important observation to make is to notice that the segments of the line join the vertices,faces,edges,vertices of the cube in some order. Which lines join the vertices of a cube? These are its edges, the diagonals of the square faces, and internal diagonals that join opposite ... | HuggingFaceTB/finemath | |
### Sproutology
Sprouts is a simple and delightfully subtle pencil-and-paper game for two players. The game is set up by marking a number of spots on a page. Each player makes a move by drawing a curve that joins two spots, or that loops from a spot back to itself, without crossing any lines drawn earlier, and then ma... | HuggingFaceTB/finemath | |
# The perils of math pedagogy
It seems that the prevailing wisdom in teaching mathematics is to make abstract concepts as concrete as possible. The thinking is that if math can be related to everyday concepts or pictures then it will be more palatable and understandable. I happen to disagree. I think part of what make... | HuggingFaceTB/finemath | |
## Quick Guide to Character Theory (II): Main Theory
Reminder: throughout this series, G is a finite group and K is a field. All K-vector spaces are assumed to be finite-dimensional over K.
## G4. Maschke’s Theorem
If $W\subseteq V$ is a K[G]-submodule, it turns out V is isomorphic to the direct sum of W and some ot... | HuggingFaceTB/finemath | |
# Assignment 4 Interpolation
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CS 370 Numerical Computation Assignment 4
Interpolation
What you need to get
• https://www.overleaf.com/read/vztpkwrpmtcn: (optional) Overleaf template for Q1 and Q2
• YOU_a4q3.ipynb
• YOU_a4q4.ipynb
What ... | HuggingFaceTB/finemath | |
1. ## More Algebra
A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer than one of the other sides. The perimeter of the lot is 392 ft. How long is each side of the lot?
Let x be one side, ? be another, and x + 7 be the hypotenuse. You find that ? = $\sqrt{14x+49}$. Plug all 3 into the perimet... | HuggingFaceTB/finemath | |
Legendre Symbol Rules for (3/p) and (6/p)
# Example Questions Regarding Legendre Symbols
Let's first recall the following properties of Legendre symbols:
• A) The Legendre symbol $(a/p)$ is defined only if p is an odd prime and a is not a multiple of p ($p \nmid a$).
• B) If $a \equiv b \pmod p$, then $(a/p) = (b/p)... | HuggingFaceTB/finemath | |
Identifying even and odd numbers is an important number sense skill. When we work with whole numbers, it's important to know the difference between even and odd numbers. This knowledge will help you grasp harder math skills like division and prime numbers.
Let's take a closer look at even & odd numbers.
Even: 2, 12, ... | HuggingFaceTB/finemath | |
3/recent/ticker-posts
# How to find the values of a function for different input simultaneously (Calc Memory)
## How to find the values of a function for different input simultaneously (Calc Memory)
### Q. What is CALC memory?
-CALC memory (CALC button) is used to temporarily store a mathematical expression that yo... | HuggingFaceTB/finemath | |
top of page
# What is GST?
Goods and Services Tax (GST) operates similarly to VAT (value-added tax). This tax is applicable on goods and services at every level of the distribution chain. Governments where GST applies, typically impose it at every level of the distribution process.
Take the instance of a factory. Th... | HuggingFaceTB/finemath | |
Have you ever wondered how does Excel calculate internal rate of return (IRR)? I never gave it second thought until I wrote a post on the issues with NPV calculation in Excel.
Our reader, Deyan, pointed that similar type of issue can exist with the IRR calculation in Excel.
IRR calculation in Excel is rather simple; ... | HuggingFaceTB/finemath | |
# The Power of Domino
Domino is a small rectangular block of hard material used as a game or as a mathematical tool. It features a line down the middle to visually divide it into two squares. Each end is either blank or has a number of spots, called pips, that indicate its value. Most domino sets contain a single uniq... | HuggingFaceTB/finemath | |
# Question regarding Fourier coefficients
I would like to express the product $$\left( \sum_{k \in \mathbb{Z}} a_k \sin(k t) \right) \left( \sum_{k \in \mathbb{Z}} b_k \cos(k t) \right)$$ as $$\sum_{k \in \mathbb{Z}} c_k \sin(k t).$$ Question : How can I express the coefficients $c_k$ as functions of $a_k$ and $b_k$ ?... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Divide 5/3 with 15/27
1st number: 1 2/3, 2nd number: 15/27
5/3 ÷ 15/27 is 3/1.
#### Steps for dividing fractions
1. Find the reciprocal of the divisor
Reciprocal of 15/27: 27/15
2. Now, multiply it with the dividend
So, 5/3 ÷ 15/27 = 5/3 × 27/15
3. = 5 × 27/3 × 15 = 135/45
4... | HuggingFaceTB/finemath | |
# Ask Uncle Colin: A problem of squares and powers
Dear Uncle Colin,
I have to solve $615 + x^2 = 2^y$ for integers $x$ and $y$. I’ve solved it by inspection using Desmos ($x=59$ and $y=12$ is the only solution), but I’d prefer a more analytical solution!
Getting Exponent Right Makes An Interesting Noise
Hi, GERMAI... | HuggingFaceTB/finemath | |
Example3.3.9
Solve for $$F$$ in $$C=\frac{5}{9}(F-32)\text{.}$$ (This represents the relationship between temperature in degrees Celsius and degrees Fahrenheit.)
To solve for $$F\text{,}$$ we first need to see that it is contained inside a set of parentheses. To get the expression $$F-32$$ on its own, we'll need to e... | HuggingFaceTB/finemath | |
# Binary Multiplication – Rules, Types, Steps, Examples, FAQs
Home » Math Vocabulary » Binary Multiplication – Rules, Types, Steps, Examples, FAQs
## What Is Binary Multiplication?
Binary multiplication is a fundamental operation on binary numbers which is quite similar to decimal multiplication. The multiplication ... | HuggingFaceTB/finemath | |
# Causal Graphical Model
## Directed Acyclic Graph (DAG)
Graph is a visual notation of relationship among a set of nodes, or vertices, and a set of edges which connects between nodes. The expression “Directed” means that each nodes have direction. And if there is a path from a node, goes back to the starting node thr... | HuggingFaceTB/finemath | |
Published at Thursday, September 17th 2020. by in Addition Worksheets.
Many children are being left behind due to lack of math skills. Schools today seem to do a poor job of preparing students for math at the middle and high school level. Here are 5 tips that parents can use to help their child be successful at math. ... | HuggingFaceTB/finemath | |
# [LeetCode] 29. Divide Two Integers, leetcode29.divide
Source: Internet
Author: User
[LeetCode] 29. Divide Two Integers, leetcode29.divide
[Question]
Divide two integers without using multiplication, division and mod operator.
If it is overflow, return MAX_INT.
[Analysis]
Multiplication, division, and modulo ope... | HuggingFaceTB/finemath | |
# IBPS Clerk Prelims: Reasoning Day 2
Hello Aspirants. Welcome to Online Reasoning Section in AffairsCloud.com.We are providing Free IBPS Clerk course 2015 and creating sample questions in Reasoning, which will be asked in IBPS Clerk Prelims Exam.
Stratus – IBPS Clerk Course 2015
[flipclock]
Directions (1 – 5): (A)... | HuggingFaceTB/finemath | |
# Big Picture: Integrals | Summary and Q&A
298.2K views
May 5, 2010
by
MIT OpenCourseWare
Big Picture: Integrals
## TL;DR
Calculus is about finding the relationship between two functions – the height (y of x) and the slope (s of x) – and understanding how to go from one to the other.
## Install to Summarize YouTube... | HuggingFaceTB/finemath | |
# Why does Group Theory not come in here?
Here is a list of questions that I find quite similar, for the one and only reason that they all show much "symmetry". Which is at the same time my problem, because I don't have a very precise notion of that supposed "symmetry". Here comes:
Take the last question as an exampl... | HuggingFaceTB/finemath | |
Re: Setting parts of matrices
• Subject: [mg2980] Re: Setting parts of matrices
• From: crstover at aol.com (CRStover)
• Date: 18 Jan 1996 05:01:41 -0600
• Approved: usenet@wri.com
• Distribution: local
• Newsgroups: wri.mathgroup
• Organization: America Online, Inc. (1-800-827-6364)
• Sender: mj at wri.com
``... | HuggingFaceTB/finemath | |
# Geometry and reference spaces in WebXR
At a fundamental level, rendering of scenes for WebXR presentation in either augmented reality or virtual reality contexts is performed using WebGL, so the two APIs share much of the same design language. However, in order to provide the ability to present scenes in true 3D usi... | HuggingFaceTB/finemath | |
0
# What is the slant height ℓ of a cone that has a Lateral Surface Area of 285 sq. cm. and a radius of 10 cm?
Updated: 12/15/2022
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Be notified when an answer is posted
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Q: What is the slant height ℓ of a cone that has a Lateral Surface Area of 285 sq. cm. and a radius of 10 cm?
Submit... | HuggingFaceTB/finemath | |
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Question
The countour C in the adjoining figure is described by x2+y2=16. Then the value of ∫cz2+8(0.5)z−(1.5)jdz
A
2πj
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B
2πj
No worries! We‘ve got your back. Try BYJU‘S free classes to... | HuggingFaceTB/finemath | |
Abstract . This paper presents the application of a physics-inspired algorithm based on the center of mass concept, called Bilevel Centers Algorithm (BCA), to deal with bilevel optimization problems. The center of mass is adopted for creating new directions in the bilevel continuous search space considering the objecti... | open-web-math/open-web-math | |
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# Understanding the Fibonacci Series - Visual Literacy & Graphic Design
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developed: January 30th, 2007.
Published in: Design
• Full Name
Comment goes here.
Are you sure you want to Yes No
• What an ... | HuggingFaceTB/finemath | |
# Solution of Euler-Lagrange equation
## Main Question or Discussion Point
I have the following Lagrangian:
$$\mathcal{L} = 1/2 \partial_{\mu} \varphi \partial^{\mu} \varphi - 1/2 b ( \varphi^{2} - a^{2} )^{2}$$, where $$a,b \in \mathbb{R}_{>0}$$ and $$\varphi$$ is a real (scalar) field and x are spacetime-coordinat... | HuggingFaceTB/finemath | |
### 3.403 $$\int \frac{\coth (a+b x)}{x^2} \, dx$$
Optimal. Leaf size=12 $\text{Unintegrable}\left (\frac{\coth (a+b x)}{x^2},x\right )$
[Out]
Unintegrable[Coth[a + b*x]/x^2, x]
________________________________________________________________________________________
Rubi [A] time = 0.0170219, antiderivative size ... | HuggingFaceTB/finemath | |
# A tank 5m high is filled with water up to 3m then is filled to the top with oil of density 0.85g/cm3. The pressure at the bottom of the tank due to these liquid if the gravity is__________
Given,
Height of the tank =5m
Height of water filled=H= 2.5m
Density of water=X= 1000kg/M3
Pressure by water= HX x g
= 2.5 ... | HuggingFaceTB/finemath | |
# Multiplicatively closed set
(Redirected from Multiplicative subset)
In abstract algebra, a multiplicatively closed set (or multiplicative set) is a subset S of a ring R such that the following two conditions hold:[1][2]
• $1 \in S$.
• For all x and y in S, the product xy is in S.
In other words, S is closed under... | HuggingFaceTB/finemath | |
# How many times does a simple cell divide mitotically to form 32 cells?
Contents
Five mitotic divisions are required to form 32 cells from a single cell.
## How many generations are required to produce 32 cells?
5 successive generations of mitosis must occur to produce 32 cells.
## How many mitotic divisions and ... | HuggingFaceTB/finemath | |
Perimeter of a rectangle is 372 yards. If the length is 99 yards, what is the width?
Discussion in 'Calculator Requests' started by math_celebrity, Oct 20, 2021.
Tags:
Perimeter of a rectangle is 372 yards. If the length is 99 yards, what is the width?
The perimeter P of a rectangle with length l and width w is:
2l... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from centimeters to inches is 0.39370078740157, which means that 1 centimeter is equal to 0.39370078740157 inches:
1 cm = 0.39370078740157 in
To convert 6795 centimeters into inches we have to multiply 6795 by the conversion factor in order to get the length amount from ce... | HuggingFaceTB/finemath | |
# Given a system of quadratic equations $x^2-a_ix+b_i=0$, can all of the coefficients $a_i$, $b_j$ be solution to one of these above equation?
Here are $n$ quadratic equations ($n>1$): $$x^2-a_ix+b_i=0\quad(i=1,\ldots, n)$$ where the $a_i$, $b_i$ are distinct. Can all of the $a_i,b_i$ be roots of one of the above equa... | HuggingFaceTB/finemath | |
# Study Notes on Undecidability
By BYJU'S Exam Prep
Updated on: September 25th, 2023 ## There are two types of TMs (based on halting):
1. Halting TM : (Accepts Recursive languages) : TMs that always halt, no matter accepting or non no matter accepting or non-accepting (called as decidable problems)
2. TM : (Accept... | HuggingFaceTB/finemath | |
Find the sum of the geometric progressions $$1, \dfrac{-1}{2}, \dfrac{1}{4}, \dfrac{-1}{8}, …$$
Asked by Sakshi | 1 year ago | 88
Solution :-
Given:
a = 1, r =$$\dfrac{ (\dfrac{-1}{2})}{1 }$$$$\dfrac{-1}{2}$$
Now let us substitute the values in
=$$\dfrac{1}{(1 – (\dfrac{-1}{2}))}$$
= $$\dfrac{ 1}{(\dfrac{3}{2})... | HuggingFaceTB/finemath | |
Question
Mathematics
A manufacturer puts tires on two cars (four tires each). Each tire has a 10% probability of being flat. Assume the manufacturer puts four tires on one car first and then another four on the next car second. What’s the probability that there is at least one car that has no working tires?
Solve probl... | HuggingFaceTB/finemath | |
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Example:Find Height of Cylinder from given ... | HuggingFaceTB/finemath | |
Estimation and Costing
# Calculation Quantity of Cement Sand And Aggregate In Concrete Slab
## Calculation Quantity of Cement Sand And Aggregate In Concrete Slab
Here we calculate the quantity of cement sand and aggregate in concrete slab detailed calculation given below
It is very easy to calculate how much is req... | HuggingFaceTB/finemath | |
## Slope and the Equation of a Name
Kelly Cole, Math, Bailey Middle School
(PDF) Use PDF for accurate view of all images/formulas.
Abstract
“Slope and the Equation of a Name” uses a created line font to teach about slope and linear equations. The unit is designed to reach students who are first learning about slop... | HuggingFaceTB/finemath | |
mathematics
# Hᵤ(2, 2) = 4 for all u>0
A bit of recreational mathematics. I’d be (pleasantly) shocked if this is novel.
2+2 = 2×2 = 2² = 4 🤔
Hᵤ is the set of hyperoperations, e.g.
H₁(a, b) = a + b
H₂(a, b) = a × b
Hu(a, b) = Hu-1(a, Hu(a, b-1)) when u≥3 & b≠0
∴ Hu(2, 2) = Hu-1(2, Hu(2, 1)) when u≥3
also Hu(2, 1)... | HuggingFaceTB/finemath | |
## Basic College Mathematics (9th Edition)
The correct solution: $A$ = 203 ft$^{2}$
Errors in the above solution: 1) When determining the area of a trapezoid the lengths of the parallel sides are summed. 2) When determining the area the units should be squared The correct solution: $A$ = (o.5)(11.6 ft)(22 ft + 13 ft) ... | HuggingFaceTB/finemath | |
# Primitive multiplication table based bcd multiplication
50 %
50 %
Information about Primitive multiplication table based bcd multiplication
Education
Published on March 7, 2014
Source: slideshare.net
## Description
Primitive table based multiplication algorithm
PMT BASED BCD MULTIPLICATION By Vitthal Jadhav Bas... | HuggingFaceTB/finemath | |
This blog is managed by Song Hock Chye, author of Improve Your Thinking Skills in Maths (P1-P3 series), which is published and distributed by EPH.
## Sunday, July 18, 2010
### ACS Primary 2009 PSLE Math Prelim Paper 2 Q11
Container A has 150 more marbles than Container B. If 30 marbles are being transferred from Con... | HuggingFaceTB/finemath | |
## DEV Community
Abhishek Chaudhary
Posted on
# Count Number of Pairs With Absolute Difference K
Given an integer array `nums` and an integer `k`, return the number of pairs `(i, j)` where `i < j` such that `|nums[i] - nums[j]| == k`.
The value of `|x|` is defined as:
• `x` if `x >= 0`.
• `-x` if `x < 0`.
Exampl... | HuggingFaceTB/finemath | |
# Big O — Time Complexity Graph Simplified Photo by Icons8 Team on Unsplash
When I began my journey in learning algorithms to become a better coder, this was the first big lesson — “Big O”. The name was daunting enough but after watching several videos and seeing in action how important Big O is, I wanted to explain i... | HuggingFaceTB/finemath | |
Question
# (a) Let n be any positive integer. Briefly explain (no formal proofs) why n > 1...
(a) Let n be any positive integer. Briefly explain (no formal proofs) why n > 1 ≡ ¬(n = 1).
(b) Recall that a positive integer p is prime iff there do not exist a positive integers n and m, both greater than 1, such that p ... | HuggingFaceTB/finemath | |
# Prioritize Quantitative Data with the Pareto Principle
Imagine this: after dozens of meetings with your company’s legal, marketing, and engineering departments, you finally have access to an analytics tool. Congratulations! There is a rush of excitement as the UX team dreams of conducting A/B testing on design impro... | HuggingFaceTB/finemath | |
solution of ch 6 (071)
# solution of ch 6 (071) - C must equal zero. Why? Problem...
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Problem 6-5 Determine the force in each member of the truss and state if the members are in tension or compression.
This preview has intentionally blurred sections. S... | HuggingFaceTB/finemath | |
### CFA Practice Question
There are 432 practice questions for this topic.
### CFA Practice Question
A corporation has the following opportunity to invest in a project with a return of \$77,000 in one period. The current investment is \$69,000. The financial market rate is 12%. What is the NPV and the investing deci... | HuggingFaceTB/finemath | |
# How to Express Fractions in English
Teacher: Robin Runtime: 4:56 Series: Beginner 2 icon-heart
[junkie-tabs] [junkie-tab title=”Video Information”] This numbers video will teach you about expressing fractions in English. Fractions can be very difficult and confusing, but I hope this video will help you.... | HuggingFaceTB/finemath | |
# 2016 AMC 10B Problems/Problem 25
## Problem
Let $f(x)=\sum_{k=2}^{10}(\lfloor kx \rfloor -k \lfloor x \rfloor)$, where $\lfloor r \rfloor$ denotes the greatest integer less than or equal to $r$. How many distinct values does $f(x)$ assume for $x \ge 0$?
$\textbf{(A)}\ 32\qquad\textbf{(B)}\ 36\qquad\textbf{(C)}\ 45... | HuggingFaceTB/finemath | |
# How do you write an equation of a line through (3,3) and parallel to y= 2/3x -1?
Apr 4, 2017
$y = \frac{2}{3} x + 1$
#### Explanation:
Our reference line is: $y = \frac{2}{3} x - 1$
Hence the slope of the reference line is: $\frac{2}{3}$
Any straight line parallel to the reference line will have a slope of $\fr... | HuggingFaceTB/finemath | |
# What is the Least Common Multiple of 96 and 112?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 96 and 112 is 67... | HuggingFaceTB/finemath | |
Cody
Problem 27. Pangrams!
Solution 107373
Submitted on 6 Jul 2012 by Alan Mackay
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
Test Suite
Test Status Code Input and Output
1 Pass
%% x = 'The quick brown fox jumps over a lazy dog'; y_correct = true; a... | HuggingFaceTB/finemath | |
Formulae | Scoins.net | DJS
## Formulae
A sequence is made up of terms, usually separated by spaces. Terms are referenced by counting (the first term is called the first term !!) and the count is kept with a variable, such as n. Let’s start with something really simple, like
4 7 10 13 16 ….
you can see the nu... | HuggingFaceTB/finemath | |
# Next Permutation
• To find j, we can use a binary search between i and end.
However this may not make it faster in real world, because for a random permutation, i won't be far away from end.
If we know the array is almost sorted, then binary search will be better.
• If given a multitude of random testcases each wit... | HuggingFaceTB/finemath | |
# GameDev math recipes: Rotating to face a point
This recipe looks at how to rotate one sprite relative to another point. In this example, we rotate a jet sprite to face the position of the mouse.
Mouse over the application to your right to see how the centred sprite follows the mouse cursor. You may need to tap th... | HuggingFaceTB/finemath |
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