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# Let $f_n \to f$ pointwise on $[0,1]$. If $f_n, f$ are continuous, is it true that $\int_0^1 f_n(x) dx \to \int_0^1 f(x)dx$?
Let $\{f_n\}$ be a sequence of continuous functions on on $[0,1]$. Let $f_n \to f$ pointwise. If $f$ is continuous on $[0,1]$, is it true that $$\int_0^1 f_n(x) dx \to \int_0^1 f(x)dx?$$
I cou... | HuggingFaceTB/finemath | |
In the previous sections, the direct variation problems were solved through the relationship to a linear function. Tables are also used when solving or graphing linear functions; therefore, they can be used to solve direct variation problems, too.
Example: The school cafeteria had to purchase gallons of milk to feed t... | HuggingFaceTB/finemath | |
Trapezoid - Geometry - Area of a Trapezoid
Welcome to Quatr.us Study Guides!
# Trapezoid
Trapezoid
A trapezoid is a kind of quadrilateral that has at least two sides that are parallel to each other. A parallelogram is a trapezoid that has two pairs of parallel sides, and a rhombus is a special kind of parallelogram,... | HuggingFaceTB/finemath | |
##### need help with word problems
Mathematics Tutor: None Selected Time limit: 1 Day
The perimeter of a rectangular painting is 346 centimeters. If the width of the painting is 75 centimeters what is its length
Jun 22nd, 2015
perimeter = 2 ( length )+2( width) = 346 centimeters
Let y be the length and width i... | HuggingFaceTB/finemath | |
Strongly Connected Components
# Strongly Connected Components
#### In this tutorial, you will learn how strongly connected components are formed. Also, you will find working examples of kosararju's algorithm in C, C++, Java and Python.
A strongly connected component is the portion of a directed graph in which there... | HuggingFaceTB/finemath | |
Examveda
Nusselt number (NN) is given by
A. $${{\text{N}}_{\text{N}}} = \frac{{{\text{h}}l}}{{\text{k}}}$$
B. $${{\text{N}}_{\text{N}}} = \frac{{\mu {{\text{c}}_{\text{p}}}}}{{\text{k}}}$$
C. $${{\text{N}}_{\text{N}}} = \frac{{\rho {\text{V}}l}}{\mu }$$
D. $${{\text{N}}_{\text{N}}} = \frac{{{{\text{V}}^2}}}{{{\tex... | HuggingFaceTB/finemath | |
# How to Convert Decimals to Fractions for Math Problems
By Sandy Fleming
Jupiterimages/Photos.com/Getty Images
Decimals and fractions both represent portions of the whole. In fact, every decimal has a matching fraction name and every fraction has a matching decimal name. When decimal numbers are read correctly, the ... | HuggingFaceTB/finemath | |
# Homework Help: Tensions in Wires
1. Oct 10, 2009
### oceanflavored
Tensions in Wires :)
1. The problem statement, all variables and given/known data
A 10.0-kg picture is held in place by two wires, one hanging at 50.0o to the left of the vertical and the other at 45.0o to the right of the vertical. What is the te... | HuggingFaceTB/finemath | |
# Why not simplify earlier?
Why can't the equation be simplified in the third step where it specifies that the equation is indeterminate? You could essentially have ln1/(ln1+1-1) if you substitute values in here. This then simplifies to just ln1/ln1 and then they would cancel to equal 1. Yet, the solution uses l'Hospi... | HuggingFaceTB/finemath | |
## Precalculus (6th Edition) Blitzer
The domain and range of the function are $\left( -\infty ,\infty \right)$ and $\left[ -4,\infty \right)$ respectively.
The graph is a parabola. Now, since $f\left( x \right)$ is a polynomial, it exists for every value of $x$ on the real axis. Therefore, the domain of $f\left( x \ri... | HuggingFaceTB/finemath | |
# Magnitude of charge on parallel plates
1. Feb 13, 2016
### Melssssss
1. The problem statement, all variables and given/known data
A small plastic ball of mass 7.51 × 10-3 kg and charge +0.123http://edugen.wileyplus.com/edugen/courses/crs6407/art/qb/qu/c18/lower_mu.gifC is suspended from an insulating thread and ha... | HuggingFaceTB/finemath | |
# Help with proof or counterexample: $A^3=0 \implies I_n+A$ is invertible
I'm having a bit of trouble with the following proof, and I was hoping someone could help. I started with some things already but I'm not sure where to go from there.
Suppose $A\in M_{n\times n}(\mathbb{R})$ for $n\geq 2$ and let $I_n$ be the $... | HuggingFaceTB/finemath | |
PUC Karnataka Science Class 12Department of Pre-University Education, Karnataka
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# A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? If another capacitor of 6 pF is connected in series with it with the same battery connected across the combination, find th... | HuggingFaceTB/finemath | |
# Percent Off Calculator
## What is percentage off calculator?
The percentage (%) off calculator is designed to determine the Discount offered at prices of different products. % Off, mean the customer will get a price cut, of certain amount on actual price of the products.
## Why use the description "Percent Off Cal... | HuggingFaceTB/finemath | |
What is meant by curve sketching?
What is meant by curve sketching?
In geometry, curve sketching (or curve tracing) are techniques for producing a rough idea of overall shape of a plane curve given its equation, without computing the large numbers of points required for a detailed plot. It is an application of the th... | HuggingFaceTB/finemath | |
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sec10_6
# sec10_6 - ± e sin θ 1 Section 10.6 Conic Sections in...
This preview shows pages 1–2. Sign up to view the full content.
10.6 Conic Sections in Polar Coordinates 1. Polar Coordinates Theorem 1.1 (p.662) . Let F be a fxed point, called the focus , and le... | HuggingFaceTB/finemath | |
## Integral Considered as a Potential Function
To find {jatex options:inline}\int_s \frac{\alpha}{\sqrt{(x-x_0)^2 +(Y-Y_0)^2 +(Z-Z_0)^2}}dS{/jatex}, the surface being any surface whatsover with the point {jatex options:inline}(x_0 , y_0, z_0 ){/jatex} inside it we can consider the integral as a potential function. ... | HuggingFaceTB/finemath | |
Homework 5
DueThursday, October 13, 2016
1. The fallacy of “denying the antecedent” can be understood by way of an example of a faulty argument. Here is one: a tennis coach says, “If it rains tomorrow, the match will be canceled.” Then it turns out that it does not rain. However, on the way to the tennis match, the t... | HuggingFaceTB/finemath | |
# Understanding the linear cipher decryption process
Being new to Cryptography, I'm having a hard time understanding the basic concepts.
I understand all parts except why 4 power -1 has become to 7.
Can anyone explain why this is?
• Lookup modular multiplicative inverse. Its basically what division becomes on modul... | HuggingFaceTB/finemath | |
planet
April 20, 2015
Simon Michael
ssh, Darcs Hub vulnerability
April 20, 2015 11:10 PM UTC
I recently learned of a serious undocumented vulnerability in the ssh package. This is a minimal ssh server implementation used by darcsden to support darcs push/pull. If you use the ssh package, or you have darcsden’s dar... | open-web-math/open-web-math | |
# What is 731 divided by 742 using long division?
Confused by long division? By the end of this article you'll be able to divide 731 by 742 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.
Want to quickly learn or show students how to solve 73... | HuggingFaceTB/finemath | |
# 3 General Orders Essay
1431 Words Jun 12th, 2011 6 Pages
Three General Orders
On June 21, 2011 Spc Brown and I were on CQ duty. 1SG, the SDO and the Platoon Sergeants conducted a walkthrough of the unit’s footprint. When they entered I was laid back at the desk watching a movie, on my phone and had my boots on the d... | HuggingFaceTB/finemath | |
0
Time Division Multiple Access (TDMA)
In TDMA, the entire radio spectrum is divided into time slots and in each slot only one user is allowed to transmit or receive. Each user gets a cyclically repeating slot. When one user is transmitting it’s information, the other users have to buffer their data i.e. TDMA users ha... | open-web-math/open-web-math | |
Class 9 Maths
# Circle
## Exercise 10.2
Question 1: Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
Answer: A per the theorem; equal chords (of a circle) subtend equal angles at the centre. Hence, it is clear that... | HuggingFaceTB/finemath | |
## Monday, March 4, 2013
### Solutions to Polar Forms for Complex Numbers (2)
1)We need to use the form r exp(iq) to express the following:
a) (2 + 3i)(1 – 2i)
Solution:
Multiplying the two factors we get:
2 + 3i -6(i2) -4(i) = 8 + 3i – 4i = 8 –i
First, convert to standard polar form, given :
z = x + iy = 8 - i... | HuggingFaceTB/finemath | |
1 like 0 dislike
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On a map, $1 \mathrm{~cm}$ represent $5 \mathrm{~km}$. Find the area on the map that represents $100 \mathrm{~km}^{2}$.
| 374 views
0 like 0 dislike
On a map, $1 \mathrm{~cm}$ represents $5 \mathrm{~km}$. Then it follows that $1 \mathrm{~cm}^{2}$ represents $25 \mathrm{~km}^{2}$.
Acm² repres... | HuggingFaceTB/finemath | |
IIT-JEE
Apne doubts clear karein ab Whatsapp (8 400 400 400) par bhi. Try it now.
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Question From class 12 Chapter ELECTRICAL MEASURING INSTRUMENTS
# Figure shows a simple a potentiometer circuit for measuring a... | HuggingFaceTB/finemath | |
# Rational Power of Product of Real Numbers
Jump to navigation Jump to search
## Theorem
Let $r, s \in \R_{> 0}$ be (strictly) positive real numbers.
Let $x \in \Q$ be a rational number.
Let $r^x$ be defined as $r$ to the power of $x$.
Then:
$\paren {r s}^x = r^x s^x$
## Proof
Let $x = \dfrac p q$ where $p, q ... | HuggingFaceTB/finemath | |
Marginal Contribution to Risk (MCTR) - Implementation in Excel However, sometimes, the number of loan cli… So when we do the maximize portfolio return given a risk, or given a volatility, standard deviation of 25%, this portfolio here better be what the optimization routine spits out. Portfolio Variance Formula (exampl... | HuggingFaceTB/finemath | |
This mulch calculator helps you estimate how much mulch you'll need for your garden and landscaping plans both in English and metric measurements. Read more on this subject below the form, follow the calculation steps and discover an example result.
Length of the shape:*
Width of the shape:*
Mulch depth:*
Length of th... | HuggingFaceTB/finemath | |
## Poll
I love math! 21 votes (46.66%) Math is great. 14 votes (31.11%) My religion is mathology. 6 votes (13.33%) Women didn't speak to me until I was 30. 2 votes (4.44%) Total eclipse reminder -- 04/08/2024 12 votes (26.66%) I steal cutlery from restaurants. 3 votes (6.66%) I should just say what's on my mind. 6 vo... | HuggingFaceTB/finemath | |
Ex 2.2
Chapter 2 Class 12 Inverse Trigonometric Functions
Serial order wise
### Transcript
Ex 2.2, 15 Find value of : tan−1 √3 – cot−1 (−√3) Finding tan−1 √𝟑 Let y = tan−1 √3 tan y = √3 tan y = tan (𝝅/𝟑) ∴ y = 𝝅/𝟑 Since range of tan-1 is ((−π)/2,π/2) Hence, Principal Value is 𝝅/𝟑 ∴ tan−1 √3 = π/3 Finding cot−... | HuggingFaceTB/finemath | |
Prove that $\int_{[a,n]} |f_n| d \lambda = \int |1_{[a,n]} f| d \lambda < +\infty$ for $f$ Riemann locally integrable
Let $f : [a,+\infty[ \rightarrow \mathbb{R}_+$ a positive function, locally Riemann-integrable. It's assumed the improper integral $\int_{a}^{+\infty} f(x) dx$ is convergent.
For all $n \in \mathbb{N}... | HuggingFaceTB/finemath | |
### ¿Todavía tienes preguntas de matemáticas?
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Algebra
Pregunta
3. A hot cup of coffee cools according to the equation $$T ( t ) = 69 \times ( \frac { 1 } { 2 } ) ^ { \frac { t } { 30 } } + 21$$ where $$T$$ is the temperature in degrees Celsius and $$t$$ is the time in minutes.
a)... | HuggingFaceTB/finemath | |
# Introductory Combinatorics:The Basic Principle of Counting
What is combinatorics? It can be simply characterized as:
Combinatorics = The Art of counting
Combinatorics begins with
The Basic Principle of Counting: Suppose that two operations are to be performed. If operation 1 results in any one of $m$ possible out... | HuggingFaceTB/finemath | |
The purpose of my blog is to document my experiences while taking Math for Elementary teachers 1510/1512. It is a reflection on what i learned and my opinions on teaching math.
## Thursday, July 21, 2011
### Algeblocks are the wave of the future! Math 1510
This week I was introduced to algeblocks. Algeblocks are a v... | HuggingFaceTB/finemath | |
To install click the Add extension button. That's it.
The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.
4,5
Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Gri... | HuggingFaceTB/finemath | |
# Math Chat: Milk-Bottle Pressure And Adding Hymns
The old challenge leads to a widely forgotten but handy method for checking addition called "casting out nines."
Old challenge (Joe Herman)
Why does adding a column of three 3-digit hymn numbers yield the same answer whether you add frontwards, backwards, or even si... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Divide 48/21 with 7/6
1st number: 2 6/21, 2nd number: 1 1/6
48/21 ÷ 7/6 is 96/49.
#### Steps for dividing fractions
1. Find the reciprocal of the divisor
Reciprocal of 7/6: 6/7
2. Now, multiply it with the dividend
So, 48/21 ÷ 7/6 = 48/21 × 6/7
3. = 48 × 6/21 × 7 ... | HuggingFaceTB/finemath | |
# Fractions / Equivalent Fractions
Activity 2 of 15
This lesson helps students understand that two fractions are equivalent (or equal) if they are located at the same point on the number line.
## Planning and Resources
Objectives
Students should understand and explain that two fractions are equivalent (equal) if the... | HuggingFaceTB/finemath | |
# How to compound interest?
Watch
Announcements
#1
Hi,
Can someone please explain to me how to compound interest
ie the periodic rate/ monthly is 2%
So in a 1 year period that equates to 24% (12x2) however my study book says 2% compounded over 12 months is "26.8%"
Any help would be much appreciated
Thank u
0
3 ye... | HuggingFaceTB/finemath | |
# 6.79 Kilos in lbs and oz
6.79 kg = 14 lb 15 1/2 oz(*)
(*) This result may be rounded to the nearest 1/16 of an ounce.
### Kg to pounds and oz converter
kilogram (kg) gram (g) or pounds (lb) ounces (oz) + Quote of the day...
## How many pounds and ounces in 6.79 kilograms?
How many lbs and oz in 6.79 kilos? The... | HuggingFaceTB/finemath | |
# Exercises on mensuration
W. & R. Chambers, 1874 - Measurement - 157 pages
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### Contents
EXERCISES 1 27 EXERCISES 2 23... | HuggingFaceTB/finemath | |
# How to solve constants out of the internal energy equation?
Imagine we deal with a new kind of matter, whose state is described by:
$$PV = AT^3$$
Its internal energy is given by
$$U = BT^n \ln\left(\frac{V}{V_0}\right) + f(T)$$
where $$A$$, $$B$$ and $$V_0$$ is a constant and $$f(T)$$ is a polynomial function.
... | HuggingFaceTB/finemath | |
# Finding Median of an unsorted array in Linear Time using C++ standard library function
In this article, we will discuss how to find the median of an unsorted array without sorting it in linear time complexity with the help of standard library function nth_element()?
Submitted by Radib Kar, on July 11, 2020
Prerequi... | HuggingFaceTB/finemath | |
# Conversion Factors SOLID cubic metre - STACKED cubic metre - LOOSE cubic metre
One solid cubic metre (m³ˢ) = 1.49 x stacked cubic metre (m³ˢᵗ) = 2.5 x loose cubic metre (m³ᶩͮ )
It is challenging to compare different fuels and their units because fairly many different terms and measurements are in use. Below are th... | HuggingFaceTB/finemath | |
# C - 14 CURRICULUM FOR DECE
## Basic Electrical & Electronics Engineering
Subject Title : Basic Electrical & Electronics Engineering
Subject Code : EC-105
Periods/Week : 04
Periods/Year : 120
# TIME SCHEDULE
Sl. N... | HuggingFaceTB/finemath | |
# Math Properties Worksheets PDF for Grade 3 - Distributive Properties Exercises
## Properties of Multiplication and Addition Activities with Answers
Math properties worksheets pdf for grade 3 are one of the keys to math fact fluency. Significantly, our distributive properties exercises have been richly designed to e... | HuggingFaceTB/finemath | |
## 22519
22,519 (twenty-two thousand five hundred nineteen) is an odd five-digits composite number following 22518 and preceding 22520. In scientific notation, it is written as 2.2519 × 104. The sum of its digits is 19. It has a total of 2 prime factors and 4 positive divisors. There are 19,296 positive integers (up t... | HuggingFaceTB/finemath | |
# Nonlinear regression with correlated errors
it's my first post here and I'm a newbie in statistics, so please forgive me if I'm doing something wrong or explaining myself badly.
Anyway, I have a problem similar to this: How to perform nonlinear regression with correlated errors?, i.e. a nonlinear least squares prob... | HuggingFaceTB/finemath | |
Find the equation of the line passing through $$(2, 2\sqrt{3})$$ and inclined with x – axis at an angle of 75°
Asked by Aaryan | 1 year ago | 59
##### Solution :-
Given:
A line which is passing through $$(2, 2\sqrt{3})$$, the angle is 75°
By using the formula,
The equation of line is [y – y1 = m(x – x1)]
Here, ... | HuggingFaceTB/finemath | |
# User:Timothee Flutre/Notebook/Postdoc/2011/12/14
< User:Timothee Flutre | Notebook | Postdoc | 2011 | 12
Project name <html><img src="/images/9/94/Report.png" border="0" /></html> Main project page
<html><img src="/images/c/c3/Resultset_previous.png" border="0" /></html>Previous entry<html> &nbs... | open-web-math/open-web-math | |
Elevation
What must be the elevation of an observer in order that he may be able to see an object on the earth 536 km away? Assume the earth to be a smooth sphere with radius 6378.1 km.
Result
h = 22482.4 m
Solution: Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the f... | HuggingFaceTB/finemath | |
# Hotelling’s T-Squared: Simple Definition
Hotelling’s T-Squared (Hotelling, 1931) is the multivariate counterpart of the T-test. “Multivariate” means that you have data for more than one parameter for each sample. For example, let’s say you wanted to compare how well two different sets of students performed in school... | HuggingFaceTB/finemath | |
Investment
Feel free to send your offer to webmaster.
Momentum
In Newtonian mechanics, linear momentum, translational momentum, or simply momentum ( pl. momenta) is the product of the mass and velocity of an object. It is a three-dimensional vector quantity, possessing a direction and a magnitude. If is an object's ... | open-web-math/open-web-math | |
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It is currently 29 Mar 2015, 05:43
### 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.
C... | HuggingFaceTB/finemath | |
Table_of_logic_symbols : définition de Table_of_logic_symbols et synonymes de Table_of_logic_symbols (anglais)
Publicité ▼
## définition - Table_of_logic_symbols voir la définition de Wikipedia
Wikipedia
# Table of logic symbols
This article contains logic symbols. Without proper rendering support, you may see ... | HuggingFaceTB/finemath | |
# Thread: Vertex Angle of a Cone
1. ## Vertex Angle of a Cone
Here is the problem I have for my homework...
Find an equation for the cone in 3D space which has vertex angle 2pi/3. (Hint: What is the vertex angle for z = sqrt(x^2+x^2)? How could you change this equation to get a cone with di erent angle? )
So the w... | HuggingFaceTB/finemath | |
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• 1 Hour F... | HuggingFaceTB/finemath | |
# What is the distance between (-2,117) and (-10,125)?
Nov 17, 2015
$19.698$ to 3 decimal places
#### Explanation: Let distance be s
Let $\left({x}_{1} , {y}_{1}\right) \to \left(- 2 , 117\right)$
Let x_2,y_2)-> (-10,125)
Using Pythagoras
${s}^{2} = {\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({x}_{2} - {x}_{1}\... | HuggingFaceTB/finemath | |
# Row Echelon Form of a 3x3 Matrix
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CalebSvobodny.Row Echelon Form of a 3x3 Matrix
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The Row Echelon Form of a 3x3 Matrix calculator takes a 3x3 matrix and computes the row-echelon form.
INSTRUCTIONS: Enter the following:
• (A) This is the 3x3 matr... | HuggingFaceTB/finemath | |
# Magnetic Circuits and Transformers
## Presentation on theme: "Magnetic Circuits and Transformers"— Presentation transcript:
Magnetic Circuits and Transformers
Magnetic Fields Magnetic Circuits Inductance and Mutual Inductance Magnetic Materials Ideal Transformers Real Transformers Chapter 15: Magnetic Circuits
Ma... | HuggingFaceTB/finemath | |
# uniform plank walk
• Nov 30th 2007, 10:15 PM
rcmango
uniform plank walk
A uniform plank of length 4.9 m and weight 210 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 453 N walk on the overhanging part of the p... | HuggingFaceTB/finemath | |
# Thread: Calculating Amount of Candies in a Jar
1. I know there are many variables based on size of each candy, etc, but is there anyone who knows an accurate(ish) method for calculating how many candies are in a jar?
thanks 2.
3. Do try measuring the volume of one candy and measuring the volume of the bottle. Of ... | HuggingFaceTB/finemath | |
# Equality of functions
hi,
i was wondering if anyone could tell me how i should approach this problem:
Let f:R->R^3 be a differentiable, vector-valued function and g:R->R be a strictly increasing vector-valued function. Let h = fog:R->R^3. Show that the paths traced by f and h are equal and that h'(t) = f'(g(t))g'(... | HuggingFaceTB/finemath | |
kmmiles.com
# 476.1 km in miles
## Result
476.1 km equals 295.6581 miles
You can also convert 476.1 miles to km.
## Conversion formula
Multiply the amount of km by the conversion factor to get the result in miles:
476.1 km × 0.621 = 295.6581 mi
## How to convert 476.1 km to miles?
The conversion factor from km... | HuggingFaceTB/finemath | |
Question
There is a total of 27 quarters stacked in four piles. The first pile has 5 fewer than the second pile. The second pile has 4 more than the third pile. The fourth pile has three times as many as the second pile. How many quarters are in the fourth pile?
1. Answer: 18 quarters
Step-by-step explanation:
second... | HuggingFaceTB/finemath | |
# Area of Trapezium
## Area of Trapezium
A trapezium is a quadrilateral having a pair of its opposite sides parallel. Area of trapezium is measured in terms of its two parallel sides and the height between them. Area of trapezium is given by the half of the product of the sum of parallel sides and height i.e. Area of... | HuggingFaceTB/finemath | |
## Divisibility by 9
This is the 8th part of the Divisibility Rules Series. In this post, we discuss divisibility by 9.
When 10 is divided by 9, it gives a remainder of 1 since 10 = 9 + 1. Also, 100 divided by 9 gives a remainder of 1 since 100 = 99 + 1. Further, 1000 gives a remainder of 1 when divided by 9 since i... | HuggingFaceTB/finemath | |
# Why does gas solubility increase at higher pressure?
Mar 23, 2017
From Henry's law (at least, this version),
$s = {k}_{H} {P}_{g a s}$,
where:
• $s$ is the solubility in $\text{M}$.
• ${k}_{H}$ is the Henry's law constant in $\text{M/atm}$.
• ${P}_{g a s}$ is the vapor pressure of the gas above the solution.
Wi... | open-web-math/open-web-math | |
Learning from home? Find hands-on activities perfect for distance learning. Browse now!
# Lesson:Applications of Linear Functions
### Quick Look
Time Required: 45 minutes
Lesson Dependency:
Subject Areas: Algebra
### Summary
This final lesson in the unit culminates with the Go Public phase of the legacy cycle. I... | HuggingFaceTB/finemath | |
# How to solve quadratic equations
We do not have to graph our quadratic equations in order to solve them, instead we could use factoring and then apply the zero product property.
If $a\cdot b=0$ then either $a=0$ or $b=0$ or both.
Example
Solve the following equation by factoring:
$x^{2}-4x=0$
$x(x-4)=0$
Either... | HuggingFaceTB/finemath | |
# Mission SBI PO 2017: Reasoning Practice Questions (Seating/Coding-Decoding New Pattern)
Mission SBI PO 2017: Reasoning Practice Questions (Seating/Coding-Decoding New Pattern):
Dear Readers, Important Practice Reasoning Questions for SBI PO 2017 Exam was given here with Solutions. Aspirants those who are preparing f... | HuggingFaceTB/finemath | |
# Equivalent Line Segments
## Objective
SWBAT construct linear equations in one or two variables, and translate between different representations of linear functions.
#### Big Idea
Students can see the limitations of the guess and check strategy as they use it to solve problems in one variable, and they can compare... | HuggingFaceTB/finemath | |
## GEP Questions: The Gauss Trick
We will continue our series on GEP Questions. To learn more about Recommended Books for GEP, to practice GEP Questions, visit the link here.
Today, we will discuss the quintessential GEP Question: The Gauss Trick. This GEP question illustrates the fact that giftedness can be trained ... | HuggingFaceTB/finemath | |
# Z-Transform-1 Study Notes for GATE Electronics and Communication Engineering Exam
By Chandani Prakash|Updated : November 30th, 2021
In this article, you will find the Z-Transform-1 which will cover the topic as Z-Transform, Region of Convergence (ROC), Summary of ROC of Discrete-Time Signals for the sequences, Char... | HuggingFaceTB/finemath | |
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A machinist's salary at a factory increases by $2,000 at th... | HuggingFaceTB/finemath | |
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### 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 | |
## The Betz limit
There is an interesting discussion to be had about the possible efficiency of wind turbines which presents opportunities for the instructor to look at several different kinds of computations. The discussion ends up with an optimization problem which could be approached by the classical methods of ca... | HuggingFaceTB/finemath | |
# What is the minimum signal strength I need to receive?
Let's say a transmitting station is using a 8W radio with a J pole antenna. The cable connecting the radio to the antenna is RG-58A/U and is 25ft long.
At 144.075MHz, the attenuation of the cable is 1.5dB. At 8W, the power from the radio is 9.03dB. Assuming no ... | HuggingFaceTB/finemath | |
What is a cube root of 21952?
What is a cube root of 21952?
hence cube root of 21952=2x2x7=28…
How do you find the cube of 21952?
Thus, we have,
1. 21952=(2×2×2)×(2×2×2)×(7×7×7)
2. 3√21952=2×2×7.
3. 8×8×8=512.
4. 6×6×6=216.
5. 4×4×4=64.
6. 2×2×2=8.
Which is the cube root of?
Cube root of number is a value which... | HuggingFaceTB/finemath | |
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It is currently 21 Feb 2019, 12:31
### GMAT Club Daily Prep
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# Proof by contrapositive
In logic, the contrapositive of a conditional statement is formed by negating both terms and reversing the direction of inference. More specifically, the contrapositive of the statement "if A, then B" is "if not B, then not A." A statement and its contrapositive are logically equivalent, in t... | open-web-math/open-web-math | |
Physics
Study Material
# Simple Harmonic Motion- Types, Time, Force, Velocity, Energy
Simple harmonic motion is a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.
6 minutes long
Posted by Mah... | HuggingFaceTB/finemath | |
# Show that functions in O(1) can't grow faster than their composition with themselves
Let $f(n)$ be a function s.t $f(n)\geq 1$ for every $n$.
I want to disprove that if $f(n) = \omega (f(f(n)))$ then it means that $f(n) = O(1)$.
I thougt of 2 approaches to show that this statement is incorrect:
1. Give an Example... | HuggingFaceTB/finemath | |
1. ## Open Sets
I worked this out myself and I was wondering if somebody could help me and see if I have made any mistakes. It's a bit of a tautology since an open disc is called an open disc but I wanted to prove this from my definition
Definition: $E \subseteq \mathbb{C}$ is open $\iff$
1. E is empty or
2. $\foral... | open-web-math/open-web-math | |
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Find X/Y When X^2 + 6y^2 =5xy - ICSE Class 10 - Mathematics
Question
Find x/y when x^2 + 6y^2 =5xy
Solution
x^2 + 6y^2 =5xy
Dividing both sides by y^2 we get
x^2/y^2 + (6y^2)/y^2 = (5xy)/(y^2)
(x/y)^2 + 6 = 5(x/y)
(x/y)^2 - 5(x/y) + 6 = 0
Let x/y = a
a^2 - 5a + 6 = 0
=> (a - 2)(a - 3)... | HuggingFaceTB/finemath | |
# How to Plot Points in Three Dimensions Video
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### You're on a roll. Keep up the good work!
Replay
Your next lesson will play i... | HuggingFaceTB/finemath | |
#### Transcript Mean and Higher Moments
```MEAN AND HIGHER MOMENTS
Lecture VIII
EXPECTED VALUE
Definition
4.1.1. Let X be a discrete
random variable taking the value xi with
probability P(xi), i=1,2,…. Then the
expected value E[X] is defined to be
E[X]=i=1xiP(xi) if the series converges
absolutely.
We can wr... | HuggingFaceTB/finemath | |
# Show the best linear approximation $p$ to $f$ has slope $p'(x)=(f(b)-f(a))/(b-a)$.
Suppose $f\in C([a,b])$ is twice continuously differentiable and $f''(x)>0$ on the interval. Show that the best linear approximation $p$ to $f$ has the slope $p'(x)=(f(b)-f(a))/(b-a)$.
To my understanding, due to the second derivativ... | HuggingFaceTB/finemath | |
## Triangles
If in a triangle ABC, D and E are on the sides AB and AC, such that, DE is parallel to BC and $$\frac{{AD}}{{BD}}$$ = $$\frac{3}{5}$$. If AC = 4 cm, then AE is
Options:
A. 1.5 cm B. 2.0 cm C. 1.8 cm D. 2.4 cm | HuggingFaceTB/finemath | |
Question: How Far Is The Moon From The Center Of The Earth Netwon?
On average, the distance between the Earth’s core and the Moon is around 385,000 km (239,000 mi), which translates to approximately 60 Earth radii or 1.282 light-seconds.
How far is the center of the Earth from the center of the Moon?
A total of 238,... | HuggingFaceTB/finemath | |
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Logo help... | HuggingFaceTB/finemath | |
Finishing strong – making those last few weeks count (plus a free offer to boot)
As term 4 is upon us many teachers are struggling with how to get everything done. Realistically, now is the time for prioritizing rather than frantic teaching. Think about what the teacher next year needs the kids to still remember aft... | HuggingFaceTB/finemath | |
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# 2.2: The Derivative
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
A student will be able to:
• Demonstrate an understanding of the derivative of a function as a slope of the tangent line.
• Demonstrate an understanding of the deriv... | HuggingFaceTB/finemath | |
# Old McDonald has 9 pigs. How can he build 4 pens and place and odd number of pigs in each pen?
1. Sorry, the only way I could imagine it being done is to leave one pig out of the pens. Is your stated information correct?
1 + 1 + 1 + 6 = 9
1 + 1 + 3 + 4 = 9
Sorry I can't be of more help.
2. Thanks but that is exac... | HuggingFaceTB/finemath | |
# Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. a-Find the points of intersection of the parabolas and decide which one is greater than the other between the intersection points(b)...
Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20.
a-Find the points of intersection of the parabolas and decide ... | HuggingFaceTB/finemath | |
ANSWERS: 1
• The problem does not state the quantity of sulfuric acid. If none is present, then the reaction will not be able to produce any hydrogen. But let's solve it for the maximum amount of hydrogen gas. You have the chemical equation, Ca + H2SO4 -> CaSO4 + H2, which is balanced already. This equation tells you t... | HuggingFaceTB/finemath | |
# Polynomials
Polynomials are probably the most usual types of functions out there, because they do not need any heavy machinery to be introduced: all one needs to know is how to add and multiply numbers. This alone justifies a discussion of polynomials. However, seeing polynomials as merely “simple functions” is redu... | open-web-math/open-web-math | |
# How many oxygen atoms are in "120.23 g Fe"_3("PO"_4)_2"?
Nov 25, 2014
$\text{120.23g}$ "Fe"_3("PO"_4)_2 contains $\text{1.6203 x 10"^24}$ $\text{atoms O}$.
#### Explanation:
There are eight moles of oxygen atoms in each mole of $\text{Fe"_3("PO"_4)_2}$. To answer this question, you must convert the given mass of ... | HuggingFaceTB/finemath |
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