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Applications of Differential Equations
# Applications of Differential Equations - CHAPTER 3 BASIC...
This preview shows pages 1–9. Sign up to view the full content.
CHAPTER 3. BASIC MATHEMATICAL MODELLING 3.1. What is Mathematical Modelling? Mathematical Modelli... | HuggingFaceTB/finemath | |
# Advent Of Code – Some Assembly Required – Puzzle 7
Hello ! I’m Xavier Jouvenot and here is the seventh part of a long series on Advent Of Code. You can find the previous part here
For this new post, we are going to solve the problem from the 7th December 2015, named "Some Assembly Required". The solution I will pro... | HuggingFaceTB/finemath | |
Question #550b2
Dec 18, 2016
Explanation:
Use the identities:
$\sin A + \sin B = 2 \sin \left(\frac{A + B}{2}\right) \cos \left(\frac{A - B}{2}\right)$
$\sin A - \sin B = 2 \sin \left(\frac{A - B}{2}\right) \cos \left(\frac{A + B}{2}\right)$
to get
${\lim}_{x \rightarrow 0} \frac{\sin 2 x + \sin 6 x}{\sin 5 x - ... | HuggingFaceTB/finemath | |
# Determine whether the hypothesis test involves a sampling
Module 3 Homework Assignment
Don't use plagiarized sources. Get Your Custom Essay on
Determine whether the hypothesis test involves a sampling
Just from \$13/Page
1. Determine whether the hypothesis test involves a sampling distribution of means that is a n... | HuggingFaceTB/finemath | |
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# If one root of the polynomial $k{{x}^{2}}-15x+18=0$ is 2, then find the value of k?
Verified
381.6k+ views
Hint:
We are given that x = 2 is the root of the given equation $k{{x}^... | HuggingFaceTB/finemath | |
, 06.05.2020Jacobolobo7
The 3rd quadrant as 3x+g5ti=56i: 92d-543
Idk i am in 5th grade lol
a
Step-by-step explanation:
6(8x +5y=-7)= 48x +30y= -42
-5(-7x+6y=-4)= 35x -30y= 20
The ys would cancel out
Do you know the answer?
### Other questions on the subject: Mathematics
christopher is 272,195 year old step-by-... | HuggingFaceTB/finemath | |
• #### Simplifying Rational Functions with Factoring and GCFs - Problem 15
##### Math›Algebra›Rational Expressions and Functions
Using opposite binomials to simplify rational expressions.
Tags:
• #### Simplifying Rational Functions with Factoring and GCFs - Problem 13
##### Math›Algebra›Rational Expressions and Funct... | HuggingFaceTB/finemath | |
# Thread: Find the area given the perimeter
1. ## Find the area given the perimeter
The length is 35 yards and the perimeter is 120, what is the area?
2. Originally Posted by Erynn S
The length is 35 yards and the perimeter is 120, what is the area?
...what's the figure? a rectangle?
if so, let the width be x
then... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Reduce 2667/333 to lowest terms
The simplest form of 2667/333 is 889/111.
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 2667 and 333 is 3
2. Divide both the numerator and denominator by the GCD
2667 ÷ 3/333 ÷ 3
3. Reduced fra... | HuggingFaceTB/finemath | |
# Chapter 3 - Demand, Supply, and Market Equilibrium - Problems - Page 74: 3
Part a) Equilibrium price is 4 Part b) Check graph in working Equilibrium price = 4 Equilibrium quantity = 75 thousand Part c) At Price = 3.40, shortage of 13 thousand bushels At Price = 4.90, Surplus of 21 thousand bushels At Price = 60 cent... | HuggingFaceTB/finemath | |
## dU/dt = 0 for oscillating spring, help with derivation
U = energy
In the book:
$\frac{dU}{dt} = \frac{d}{dt} (\frac{1}{2} mv^2 + \frac{1}{2} kx^2)$
then we have $m \frac{d^{2}x}{dt^2} + kx = 0$ because $v = \frac{dx}{dt}$
however they get rid of $\frac{dx}{dt}$ .
They are ignoring the case where v = 0, because t... | HuggingFaceTB/finemath | |
## A Multiplication Based Logic Puzzle
### When is 690 a Palindrome? In Base 16 and Base 29.
• 690 is a composite number.
• Prime factorization: 690 = 2 x 3 x 5 x 23
• The exponents in the prime factorization are 1, 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1)(1 + 1) = 2 x 2 x 2 x 2 = ... | HuggingFaceTB/finemath | |
## Complete a reflective essay on Investing a smaller amount beginning early in life versus investing more each month beginning later in life
For the Unit 6 Discussion Board, you will complete a reflective essay that addresses one of the following scenarios:
• Paying the minimum payment on a credit card versus paying... | HuggingFaceTB/finemath | |
# A guide to Partial Fraction Expansion
This page is meant as a comprehensive review of partial fraction expansion. Partial fraction expansion allows us to fit functions to the known ones given by the known Fourier Transform pairs table.
First, the denominator must be of a higher degree than the numerator. If this is... | HuggingFaceTB/finemath | |
Randomness and Probability
Presentation on theme: "Randomness and Probability"— Presentation transcript:
Randomness and Probability
Lecture 6 Randomness and Probability
Random phenomena and probability
QTM1310/ Sharpe Random phenomena and probability With random phenomena, we can’t predict the individual outcomes, ... | HuggingFaceTB/finemath | |
## Pages
### DTFT properties
We already know about what is DTFT. In this section, we will study some properties of DTFT to know a better understanding of this topic. We know that x (n) and X (ω) are Fourier transform pair and denoted as given below,
DTFT
If x (n) ↔ X(ω)
1. Linearity :
Fourier transform of a ... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from meters per second to miles per hour is 2.2369362920544, which means that 1 meter per second is equal to 2.2369362920544 miles per hour:
1 m/s = 2.2369362920544 mph
To convert 17.5 meters per second into miles per hour we have to multiply 17.5 by the conversion factor ... | HuggingFaceTB/finemath | |
# Number converter: 21 in Roman numerals, how to write?
## Latest conversions of numbers to Roman numerals
21 = XXI Feb 20 09:19 UTC (GMT) 50,307 = (L)CCCVII Feb 20 09:19 UTC (GMT) 5,021 = (V)XXI Feb 20 09:19 UTC (GMT) 461,546 = (C)(D)(L)(X)MDXLVI Feb 20 09:19 UTC (GMT) 5,021 = (V)XXI Feb 20 09:19 UTC (GMT) 5,021 = ... | HuggingFaceTB/finemath | |
# Metric System Basics Introduction The metric system is a group of units used to make any kind of measurement.
## Presentation on theme: "Metric System Basics Introduction The metric system is a group of units used to make any kind of measurement."— Presentation transcript:
Metric System Basics
Introduction The me... | HuggingFaceTB/finemath | |
0
# A positive integer is 3 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 9/20, then find the two intege
find both integers
### 1 Answer by Expert Tutors
Lauren H. | Experienced High School Chemistry TeacherExperienced High School Chemistry Teache...
4.8 4.... | HuggingFaceTB/finemath | |
# 1090. Largest Values From Labels
## Description
There is a set of n items. You are given two integer arrays values and labels where the value and the label of the ith element are values[i] and labels[i] respectively. You are also given two integers numWanted and useLimit.
Choose a subset s of the n elements such t... | HuggingFaceTB/finemath | |
# Help With Matlab Assignment
Dynamical System and Linear Algebra are one of key application areas for Matlab. The solution shown below explains the Matlab programs developed to simulate dynamical systems described by state-space models. The solution explains all the key concepts and can be considered as a relevant ex... | HuggingFaceTB/finemath | |
# Higher-order function
In mathematics and computer science, higher-order functions are functions which do at least one of the below:
• take function(s) as an input
• output a function
In mathematics these are also known as operators and functionals. The derivative in calculus is a common example, since it maps a fu... | HuggingFaceTB/finemath | |
# L-systems: a turtle draws plants
Click to choose your language:
Lindenmayer systems – or L-systems for short – find an increasing number of applications in computer graphics, especially in fractals and realistic modelling of plants. More exotic applications, ranging from the reproduction of a traditional East Ind... | HuggingFaceTB/finemath | |
let G be Group; :: thesis: for a being Element of G
for H1, H2 being Subgroup of G holds a * (H1 /\ H2) = (a * H1) /\ (a * H2)
let a be Element of G; :: thesis: for H1, H2 being Subgroup of G holds a * (H1 /\ H2) = (a * H1) /\ (a * H2)
let H1, H2 be Subgroup of G; :: thesis: a * (H1 /\ H2) = (a * H1) /\ (a * H2)
thus ... | HuggingFaceTB/finemath | |
# Math
posted by .
The perimeter of a rectangular deck is 175 feet. The length of the deck, L, is 6 feet longer than 2 times the width, W. Which system of equations can be solved to determine the length and width, in feet, of the deck? What is the correct formula and why?
a) 2L+2W=175
L=2-6W
b) 2L+2W=175
L=2W-6
c)... | HuggingFaceTB/finemath | |
高中数学/不等式与数列/数列与通项公式的概念
基础知识
数列的定义与基本概念
${\displaystyle a_{1},a_{2},a_{3},\cdots ,a_{n},\cdots }$
A.23；B.29；C.32；D.38
A.${\displaystyle a_{n}=n^{2}-n+1}$； B.${\displaystyle a_{n}={\frac {n(n-1)}{2}}}$； C.${\displaystyle a_{n}={\frac {n(n+1)}{2}}}$； D.${\displaystyle a_{n}={\frac {n(n+2)}{2}}}$
A.${\displaystyle {\... | HuggingFaceTB/finemath | |
To check if 4 + 1 = 5 you could try seeing if 5 - 1 = 4 or 5 - 4 = 1.
# Year 2 Calculation - Inverse Operations
This quiz addresses the requirements of the National Curriculum KS1 Maths and Numeracy for children aged 6 and 7 in year 2. Specifically this quiz is aimed at the section dealing with checking calculations... | HuggingFaceTB/finemath | |
> < ^ Date: Mon, 14 Sep 1998 15:56:34 +0100
< ^ From: Jeffrey A Hall <jah@cinnamon.sr.unh.edu >
> ^ Subject: Equality in GAP4
Dear Forum,
I'm not sure I understand what "equality" means
in domains in GAP 4. Consider the following function, which
should replace each occurence of x in polynomial f with t:
```---begin f... | HuggingFaceTB/finemath | |
# Thousand to Hundred
thousand
hundred
Change to Hundred to Thousand
## How to convert Thousand to Hundred
1 [Thousand] = 10 [Hundred]
[Hundred] = [Thousand] * 10
To convert Thousand to Hundred multiply Thousand * 10.
## Example
59 Thousand to Hundred
59 [K] * 10 = 590 [Hundred]
## Conversion table
Thousand Hund... | HuggingFaceTB/finemath | |
# Aptitude - HCF and LCM
## Factors and Multiples
If a number P divides another number Q exactly, we say that P is a factor of Q i.e. Q is a multiple of P.
## H.C.F
The H.C.F of two or more than two numbers is the greatest number that divides each of them exactly.
## L.C.M
The least number which is exactly divisi... | HuggingFaceTB/finemath | |
## webassign
hello i have calculus course using webassign
3 chapters each chapter 20 questions due tommorow
i need someone used webassign before
## I need these both papers done in 8 hrs- Please dont bid if you cant give max in 8-10 hrs
I need these both papers done in 8 hrs- Please dont bid if you cant give max i... | HuggingFaceTB/finemath | |
98 966
Assignments Done
98.9%
Successfully Done
In May 2021
# Answer to Question #4580 in Mechanics | Relativity for Marcus
Question #4580
Randy Johnson throws a baseball horizontally from the top of a building as fast as his 2004 record of 102.0 mph (45.6 m/s). How much time passes until it moves at an angle 13.0 de... | HuggingFaceTB/finemath | |
# Periodic Formulas
function is described as relation that has one output value for every permissible or permissible input value. The number “T” is the period of a function. If the number is fixed and $\theta$ is an angle we have the following periodic formula. The function sine and cosine have a period 2$\pi$.Some of... | open-web-math/open-web-math | |
# Chapter 3: The Geostationary Orbit¶
## Example 3.1, Page 71¶
In [1]:
import math
#Variable Declaration
Pss=-90 #Location of geostationary satellite(degrees)
PE=-100 #Longitude of the earth station antenna(degrees)
LE=35 #Latitude of the earth station antenna(degrees)
#Calculation
B=PE-Pss #Angle betwee... | HuggingFaceTB/finemath | |
Math 493 - Homework
# Homework
## Suggested study problems on the LLN and CLT
Consider doing the following problems from the textbook:
## Homework 12, due Dec 10 at 2:07pm
Please do the following problems from the textbook:
A. Show that if X and Y are Poisson random variables, with parameters a and b, respective... | HuggingFaceTB/finemath | |
# Math
posted by Suruchi Kunwar
How do you turn decimal to fraction?
1. Bosnian
convert decimal to fraction
You will find many, many sites about that.
## Similar Questions
1. ### math againn (converting decimals)
Write 6.4% as a decimal and as a fraction. Write 2 and one fourth as a decimal and as a percent. To... | HuggingFaceTB/finemath | |
Name: Lesson 4: Adding Decimals Using Mental Math
1.
Jasmine was training for a cross-country race. On the first day she ran 1.464 km. She increased this distance by 0.673 km on the second day. Use mental math to estimate how far she ran on the second day.
a. 2.000 km b. 2.200 km c. 2.100 km d. 2.300 km
2.
Use... | HuggingFaceTB/finemath | |
# Factorial of a number using JavaScript
Given a positive integer n and the task is to find the factorial of that number using JavaScript code.Â
For any positive integer ‘n’, the factorial of n is the product of all the values from 1 to n. In mathematics, the factorial of n is represented by n!. a factorial of 0 is 1... | HuggingFaceTB/finemath | |
# Calculus Derivative Homework help 10 points!!?
f(x)=4x^7-3x^5+4x^4-x^3+root 3
g(t)=4t^(2)-3t^(-2)+6
z=2root(t)-4sin(t)
h(x)=(3x-5)(4x^2+2)
y=2x^2-5/(2x^2-3x+3)
y=3x^3e^x
asked Oct 6, 2014 in CALCULUS
The function f(x) = 4x7 - 3x5 + 4x4 - x3 + √3
Apply dervative on each side with respect of x.
Apply the form... | HuggingFaceTB/finemath | |
What is the 'implicit function theorem'?
Please give me an intuitive explanation of 'implicit function theorem'. I read some bits and pieces of information from some textbook, but they look too confusing, especially I do not understand why they use Jacobian matrix to illustrate this theorem.
• You you tried looking i... | HuggingFaceTB/finemath | |
# What is the bound of : $T(n)=T(n-2)+\log(n)$?
Given : $T(n)=T(n-2)+\log(n)$
I need to find the bound for the above recurrence .
So: \begin{align*} T(n-2)&=T(n-2-2)+\log(n-2)\\ &=T(n-4)+\log(n-2)\\ T(n)&=T(n-2)+\log(n)\\ &=T(n-4)+\log(n-2)+\log(n)\\ T(n-4)&=T((n-4)-2)+\log(n-4)\\ T(n)&=T(n-4)+\log(n-2)+\log(n)\\ &=... | HuggingFaceTB/finemath | |
# Electric Power and Electric Energy
This is the final lecture of Electromagnetism in Bacic Physics. The last theme is about electric power and electric energy.
## Work performed by the electric current
Physics textbooks state that “Electric power is the work done by an electric current”.
Of course, this statement ... | HuggingFaceTB/finemath | |
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# Math Problem: Calculation Weighted Avarage Cost Of Capital (Math Problem... | HuggingFaceTB/finemath | |
It is currently 17 Jan 2018, 18:01
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.
Customized
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we will pick new questions that match your level based on your Ti... | open-web-math/open-web-math | |
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### AIPMT 2010 Prelims
The number of atoms in 0.1 mol of a triatomic gas is (NA = 6.02 $\times$ 1023 mol$-$1)
A
6.026 $\times$ 1022
B
1.806 $\times$ 1023
C
3.600 $\times$ 1023
D
1.800 $\times$ 1022
## Explanation
No. of atoms
= NA $\times$ No. of moles $\times$ 3
= 6.023 $\times$ 1023 $\times$ 0.1 $\times$ 3
=... | open-web-math/open-web-math | |
# 4 Power from Wind
Theoretical Wind Power
• Energy = Power * time
• Power = Energy/time
• wind energy = ½ ρAtv^3
• wind power = ½ ρAv^3
Betz Factor
• The ratio of practical power to the power in the wind is called the Betz Factor
• Betz Factor = 16/27 = 0.593
Practical Wind Power
• wind power = ½cpρAv^3
• where ... | HuggingFaceTB/finemath | |
This site is supported by donations to The OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A289193 Number of ways to represent prime(n)^3 as a sum of 3 distinct primes. 1
0, 3, 45, 204, 1735, 3640, 13529, 22271, 58302, 182507, 250688, 613046, 1038538, 1311167, 2081983, 3851401... | HuggingFaceTB/finemath | |
• Factor fearlessly, conquer the quadratic formula, and solve linear equations There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies , 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution... | HuggingFaceTB/finemath | |
## 28443
28,443 (twenty-eight thousand four hundred forty-three) is an odd five-digits composite number following 28442 and preceding 28444. In scientific notation, it is written as 2.8443 × 104. The sum of its digits is 21. It has a total of 3 prime factors and 8 positive divisors. There are 17,928 positive integers ... | HuggingFaceTB/finemath | |
## 50787
50,787 (fifty thousand seven hundred eighty-seven) is an odd five-digits composite number following 50786 and preceding 50788. In scientific notation, it is written as 5.0787 × 104. The sum of its digits is 27. It has a total of 7 prime factors and 24 positive divisors. There are 29,160 positive integers (up ... | HuggingFaceTB/finemath | |
# [algorithm problem inductive collection] graph theory - difference constraint
Posted by Ell20 on Fri, 11 Feb 2022 05:47:05 +0100
The application explanation of differential constraint can jump to: Principle and application of differential constraint algorithm
## 1, AcWing 1169 candy
[Title Description]
In kinderg... | HuggingFaceTB/finemath | |
+
Charges in a conductor and Gauss's Law
Developed by Larry Engelhardt - Published February 20, 2017
In this activity, students simulate and visualize the motion of excess charges in a conductor (both a sphere and a cube) in three-dimensional space, without any external electric field. Students also compute the elect... | HuggingFaceTB/finemath | |
. The sum of three consecutive integers is 21. The least integer is ……..
(a) 9
(b) 6
(c) 18
(d) 21
Let three consecutive integers be x, x+1 and x+2.
According to question
x + x+1 +x+2 = 21
3x + 3 = 21
3x = 21 -3 = 18
3x = 18, x = 18/3 = 6 | HuggingFaceTB/finemath | |
# 9: Inference for Two Samples
9: Inference for Two Samples
## Objectives
Upon successful completion of this lesson, you should be able to:
• Identify situations in which the z or t distribution may be used to approximate a sampling distribution
• Construct a confidence interval to estimate the difference in two po... | open-web-math/open-web-math | |
# Why does Mathematica not replace the derivative of $theta$1'[t]?
I want to know the velocity of point $p$, given that I know the coordinate.
$p_x=L_1\cos(\theta1)+L_2\cos(\theta1+\theta2)$
I calculate $\frac{dp_x}{dt}$ to achieve the velocity of point $p$ about the $x$ coordinate. My trial as below:
px[t] = L1 Co... | HuggingFaceTB/finemath | |
# find domain and rangef(X)=1/{sqrt(5)-x}
Since $\sqrt{5-x}$ is in the denominator, 5-x should be greater than zero. Otherwise the function is not defined.
So 5-x>0
5>x or x<5
So domain = $\left(-\infty ,5\right)$
Since the values of y are all greater than zero, Range =$\left(0,\infty \right)$
• 5
f(x)=1/√x-5
√x-5≥... | HuggingFaceTB/finemath | |
Turn on thread page Beta
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# Intrinsic to Cartesian Help watch
1. Does anybody know any website where they explain this process I've searched high and low and found nothing at all
2. (Original post by Morgan)
Does anybody know any website where they explain this process I've searched high and low an... | HuggingFaceTB/finemath | |
# Recursion, demystification
## Image explication
In this below picture, we could see several identical moments that are repeated which remain independent.
For example, we can see several times a person going up a staircase. but some times this person wears something and other times not.
Another example. We can als... | HuggingFaceTB/finemath | |
## Black Body and Stefan-Boltzmann Law
Subject: Physics
#### Overview
A perfect black body is one which absorbs heat radiation of all wavelengths that fall upon it. This note provides an information about black body and Stefan-Boltzmann law.
### Black Body and Black Body Radiations
A perfect black body is one whi... | HuggingFaceTB/finemath | |
# What Is The Largest Binary Number In 4 Bits?
## What is a 4 bit binary number?
With 4 bits, it is possible to create 16 different values.
All single-digit hexadecimal numbers can be written with four bits.
Binary-coded decimal is a digital encoding method for numbers using decimal notation, with each decimal digi... | HuggingFaceTB/finemath | |
Solved
Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...
5 months ago
Solved
Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be dis... | HuggingFaceTB/finemath | |
# Name _________________________________________ Number Sense Quiz Review
```Name _________________________________________
Number Sense Quiz Review
Please use these problems as a review for Friday’s quiz. Answers will be
concepts you are still having trouble with when we are back in school.
Write the following numera... | HuggingFaceTB/finemath | |
• 1
Newbie
# Find the number of metallic circular discs with 1.5 cm base diameter and height 0.2 cm to be melted to form a circular cylinder of height 10 cm and diameter 4.5 cm.
• 1
An Important Question of M.L Aggarwal book of class 10 Based on Mensuration Chapter for ICSE BOARD.
Find the number of metallic circula... | HuggingFaceTB/finemath | |
Iceberg
What is the surface area of 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?
Result
S = INF m2
Solution: Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from fluid ounces to tablespoons is 1.9999999999932, which means that 1 fluid ounce is equal to 1.9999999999932 tablespoons:
1 fl oz = 1.9999999999932 tbsp
To convert 4454 fluid ounces into tablespoons we have to multiply 4454 by the conversion factor in order to get the v... | HuggingFaceTB/finemath | |
# Arithmetic Sequences
## Key Questions
• An arithmetic sequence is a sequence (list of numbers) that has a common difference (a positive or negative constant) between the consecutive terms.
Here are some examples of arithmetic sequences:
1.)7, 14, 21, 28 because Common difference is 7.
2.) 48, 45, 42, 39 because it... | HuggingFaceTB/finemath | |
How do you solve 25^ { x ^ { 2} - x } = 1?
Mar 25, 2017
${x}_{1} = 0$
${x}_{2} = 1$
Explanation:
Using the law of exponents, we know that the only exponent of $25$ which yields an answer of $1$ is $0$. $\left({\log}_{25} 1 = 0\right)$
Thus, ${x}^{2} - x = 0$
$x \left(x - 1\right) = 0$
$x = 0$
$x - 1 = 0$
$x =... | HuggingFaceTB/finemath | |
# Mean
### Mean
The mean of a given set of numbers is the average of those numbers, and is calculated by summing all the numbers and dividing by the amount of numbers.
That is, the mean = Example:
Find the mean of the following numbers:
6, 12, 15, 20, 14, 8, 10, 18, 24, 12 To find the mean of a frequency distribu... | HuggingFaceTB/finemath | |
# 45400 in Words
In English words, the number 45400 is written as “forty-five thousand four hundred”. The number 45400 is a cardinal number. For example, if you earned Rs. 45400 in 6 months, you can write it as “I earned Rs. Forty-five thousand four hundred in six months”. Now, let us have a look at the procedure of w... | HuggingFaceTB/finemath | |
### On Time
On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?
### Right Time
At the time of writing the hour and minute hands of my clock are at right angles. How long will it be before ... | open-web-math/open-web-math | |
Solutions by everydaycalculation.com
## Reduce 162/32 to lowest terms
The simplest form of 162/32 is 81/16.
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 162 and 32 is 2
2. Divide both the numerator and denominator by the GCD
162 ÷ 2/32 ÷ 2
3. Reduced fraction: 81/... | HuggingFaceTB/finemath | |
# Approximating Riemann integrable functions
Here's a problem I encountered: Suppose $f$ is Riemann integrable (and so must be bounded) on the interval $[a,b]$. Show that given $\epsilon > 0$, there exist continuous functions $g,h$ such that $g(x) \leq f(x) \leq h(x)$ for all $x$, and $\int_a^b |g(x) - h(x)|\ dx < \ep... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
Subtract 9/7 from 45/4
1st number: 11 1/4, 2nd number: 1 2/7
45/4 - 9/7 is 279/28.
Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
2. For the 1st fraction, since 4 × 7 = 28,
45/4 = 45 × 7/4 × 7 = 315/28
3... | HuggingFaceTB/finemath | |
# Fill in the blanks. (b) 13 + _____ = 0(c) 12 + (–12) = ____(d) (–4) + ____ = –12iaemfuewgnuersiojmhnbiorjhmneru
Harshit Singh
2 years ago
Dear Student
(b) 13 + (-13) = 0
(c) 12 + (-12) = 0
(d) (-4) + (-8) = -12
Thanks | HuggingFaceTB/finemath | |
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