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## 2 Goods Market Equilibrium: The Keynesian Cross
Most students will have gotten a lot of this in their principles class. Don't waste to much time on the details.
1. Supply and Demand
Equilibrium:
2. Determinants of Demand
Exogenous variables include . Draw the Keynesian cross and explain adjustment to equilibrium.... | HuggingFaceTB/finemath | |
P3S 3.11.17
Numeracy
This week we have started a new addition and subtraction strategy: using a 0-99 (or 0-100) square. We will be using this strategy for the next couple of weeks.
We found a number on the 0-99 square, before finding 1 more, 1 less, 10 more and 10 less than the number. Some of us could find 5 less, ... | HuggingFaceTB/finemath | |
# Explain what would happen if in the capacitor given in Exercise 2.8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates,(a) while the voltage supply remained connected.(b) after the supply was disconnected.
(a) When the voltage supply remains connected:
The capacitance of the capa... | HuggingFaceTB/finemath | |
# 1DKin3 (1)
```1-D Kinematics
Name:
Acceleration
Read from Lesson 1 of the 1-D Kinematics chapter at The Physics Classroom:
http://www.physicsclassroom.com/Class/1DKin/U1L1e.html
MOP Connection:
Kinematic Concepts: sublevels 4 and 7
Review:
The instantaneous velocity of an object is the _____________ of the object wi... | HuggingFaceTB/finemath | |
# Placements | Reasoning | Data Sufficiency
In data sufficiency questions, we are given a question and a set of statements. We have to find which of the given statements is required to reach the conclusion.
### Sample Problems
Question 1 : Question – Who is the tallest among the brothers A, B, C, D ?
Statement 1 : C... | HuggingFaceTB/finemath | |
Use a timer while you're training and work toward clocking a … If you need to add 4,000 steps per day, plan on adding 2 miles of walking per day. why is Net cash provided from investing activities is preferred to net cash used? From. This free pace calculator computes pace, time, and distance, given values for two of t... | HuggingFaceTB/finemath | |
# Number Lines and the Empty Product
The “Empty Product” is the product of all numbers in a group of no numbers at all.
To the uninitiated, this sounds like word salad. Mostly because it is: How can you multiply no values together? How does that even make any sense?
And on one level, it really doesn’t: We need the E... | HuggingFaceTB/finemath | |
Category:
# What is the Difference Between Volume and Surface Area?
Article Details
• Written By: wiseGEEK Writer
• Edited By: O. Wallace
2003-2018
Conjecture Corporation
In Amsterdam, nearly 40% of all travel is done by bicycle, compared with less than 2% of travel in London. more...
August 19 , 1934 : Adolf H... | HuggingFaceTB/finemath | |
• Matrices
• Algebra
• Geometry
• Graphs and functions
• Trigonometry
• Coordinate geometry
• Combinatorics
Suma y resta Producto por escalar Producto Inversa
Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential ... | HuggingFaceTB/finemath | |
Magnitude of the Net Electrostatic Force On an Oxygen Atom
• shimizua
In summary, the water molecule has an angle of Θ = 103.5o between the oxygen atom and the two hydrogen atoms. The distance between the oxygen and hydrogen atoms is d = 93.1 x 10-9 m. The net electrostatic force on the oxygen atom can be calculated u... | HuggingFaceTB/finemath | |
## Equilibrium of a Rigid Body – Class 11 | Chapter – 7 | Physics Short Notes Series PDF for NEET & JEE
Equilibrium of a Rigid Body: Equilibrium of a rigid body refers to the state of the body when it is stationary or moving with a constant velocity in a straight line. In this state, all the forces and torques acting ... | HuggingFaceTB/finemath | |
# Dora to the Rescue
Next on Making Algebra Meaningful – Dora to the Rescue!
Our goal is to tackle this beast from our expectations:
add and subtract polynomials involving the same variable up to degree three [e.g., (2x + 1) + (x^2 – 3x + 4)],using a variety of tools
and
multiply a polynomial by a monomial involv... | HuggingFaceTB/finemath | |
7.5: Continuous Functions
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
Continuity
Let $$(X,d_X)$$ and $$(Y,d_Y)$$ be metric spaces and $$c \in X$$. Then $$f \colon X \to Y$$ is continuous at $$... | open-web-math/open-web-math | |
# how to find missing angles of a right triangle
###### Hello world!
noiembrie 26, 2016
two angles in the isosceles triangle are equal to each other. In this tutorial, see how identifying your triangle first can be very helpful in solving for that missing measurement. Below is a picture of triangle ABC, where angle A... | open-web-math/open-web-math | |
Você está na página 1de 8
# A Proposed Design of Ice Plant :
## The plant can produce 30 tons of ice per day.
Capacity/day = tons of ice / mass of ice block
= 30000kg / 150kg/block
= 200 blocks/day
1. To determine the size of ice to be produced.
2. To be able to know the kind of refrigerant to be used.
3. To know th... | HuggingFaceTB/finemath | |
# Solve for a a*a+b*b=6ab
a⋅a+b⋅b=6ab
Simplify each term.
Multiply a by a.
a2+b⋅b=6ab
Multiply b by b.
a2+b2=6ab
a2+b2=6ab
Subtract 6ab from both sides of the equation.
a2+b2-6ab=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=1, b=-6b, and c=b2 into the quadratic formula and s... | HuggingFaceTB/finemath | |
# Calculating a number when its remainder is given
I am having difficulty solving the following problem:
Marge has n candies , where n is an integer between 20 and 50.If marge divides the candies equally among 5 children she will have 2 candies remaining . If she divided the candies among 6 children she will have 1 c... | open-web-math/open-web-math | |
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# Trigo Ratios
2,680
Published on
Published in: Education, Technolo... | HuggingFaceTB/finemath | |
# Bayes Factors and Type I error Rate
The WIKIPEDIA Page on Bayes Factors, quickly mentions something that caught my attention. The exact quote from WIKIPEDIA is pasted below this post.
Specifically, I'm wondering if there is any property attributed to bayes factors that has made the Wikipedia page to say that $Bayes... | open-web-math/open-web-math | |
# Hierarchical Linear Models
I’m a huge fan of the statistician Andrew Gelman. He explains statistics in such an intuitive way, and it was his book “Bayesian Data Analysis” that first opened my eyes to what is possible with Bayesian models, and how to implement them in practice. In Bayesian Data Analysis he gives man... | HuggingFaceTB/finemath | |
# Least Common Multiple of 24, 44, 28, 96, 16
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 24, 44, 28, 96, 16 i.e. 7392 smallest integer divisible by all numbers.
Least common multiple (LCM) of 24, 44, 28, 96, 16 is 7392.
LCM(24, 44, 28, 96, 16) = 7392
## LCM of 24, 44,... | HuggingFaceTB/finemath | |
# DV/dS*v = a
by carhah
Tags: acceleration, velocity
P: 5 dV/dS*v=a now at the higest point when we throw a ball. v=0 which implies a=0 but that is npot true....any expanations?
HW Helper
Thanks
P: 26,148
hi carhah! welcome to pf!
Quote by carhah v=0 which implies a=0
no, v= 0 does not imply dv/dt = 0
(draw a graph... | HuggingFaceTB/finemath | |
# Homework Help: Energy in Electric Circuits
1. May 10, 2010
### LeakyFrog
1. The problem statement, all variables and given/known data
A 100-W heater is designed to operate with an applied
voltage of 120V.
a) What is the heater's resistance, and what current does the heater carry?
b) Show that if the potential di... | HuggingFaceTB/finemath | |
## Monday, May 23, 2016
### The Generalised Fibonacci Sequence
Recently, when looking at means of approximating values for the Riemann zeta function, I discovered a remarkable connection between the function and the Fibonacci sequence.
To be more correct, the connection exists as between the zeta function and a gene... | HuggingFaceTB/finemath | |
Q. 119 E4.8( 4 Votes )
# Write two integer
Answer :
There are number of integers that are smaller than -5, namely
-6, -7, -8, -9, -10, -11, -12, …
We need to do this type of question by hit and trial basis. So, take a look at the integers smaller than -5. We know that the smallest of positive integers that when su... | HuggingFaceTB/finemath | |
Statistics and probability
# Statistics and probability Calculus, number between the population 2: jessica j. Introduction to radically elementary introduction to write my next time, which studies ways. Shows you can be almost every field of teaching the likelihood of probability samplingis used in this course in the ... | HuggingFaceTB/finemath | |
Magoosh GMAT Quantitative Diagnostic Test Welcome to the Magoosh GMAT Quantitative practice test with answer explanations. This is one of Magoosh’s many free GMAT practice tests designed to help you predict your GMAT scores.
This diagnostic GMAT exam includes both Data Sufficiency and Problem Solving questions, and co... | HuggingFaceTB/finemath | |
# 16.E: The Properties of Gases (Exercises)
These are homework exercises to accompany Chapter 16 of McQuarrie and Simon's "Physical Chemistry: A Molecular Approach" Textmap.
### Q16.10
One liter of N2 (g) at 2.1 bar and two liters of Ar(g) at 3.4 bar are mixed in a 4.0-L flask to form an ideal-gas mixture. Calculate... | HuggingFaceTB/finemath | |
January 24, 2021, 06:29:48 AM
Forum Rules: Read This Before Posting
### Topic: How to determine specific heat? (Read 19917 times)
0 Members and 1 Guest are viewing this topic.
#### mr cool
• Regular Member
• Posts: 81
• Mole Snacks: +0/-1
##### How to determine specific heat?
« on: February 08, 2009, 11:29:22 AM »... | HuggingFaceTB/finemath | |
# Can You Have a High MTBF and Low Reliability?
As regular readers know, MTBF by itself is misleading. When representing actual data it can be deceptive as well. Just because you have a high MTBF value doesn’t mean it is reliable.
In a previous article, 10 Reasons to Avoid MTBF, I mentioned that it is possible to ha... | HuggingFaceTB/finemath | |
Math
A petting zoo has 5 lambs 11 rabbits 4 goats and 4 piglets. Find the ratio of goats to the total number of animals. THen explain its meaning
1/6? 1 goat for every 6 animals
1. 👍 0
2. 👎 0
3. 👁 262
1. Right.
1. 👍 0
2. 👎 0
2. At the potluck there were 6 pecan pies 7 lemon pies 13 cherry pies and 8 apple pies.... | HuggingFaceTB/finemath | |
Search a number
BaseRepresentation
bin101001111100010
31002110100
411033202
51141344
6243230
7116415
oct51742
932410
1021474
1115152
1210516
139a0b
147b7c
156569
hex53e2
21474 has 12 divisors (see below), whose sum is σ = 46566. Its totient is φ = 7152.
The previous prime is 21467. The next prime is 21481. The revers... | HuggingFaceTB/finemath | |
×
# A leak in the air conditioning system of an office ISBN: 9780321910295 34
## Solution for problem 113P Chapter 6
Introductory Chemistry | 5th Edition
• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Introductor... | HuggingFaceTB/finemath | |
# Baseball- force/impulse
## Homework Statement
Baseball -force and impulse- question
A pitcher throws a baseball to a catcher in a straight line, like any ordinary pitch. Assuming that the ball arrives to the catcher at the same speed as the pitch is thrown, which player ends up attaining a larger force, the pitche... | HuggingFaceTB/finemath | |
# permutation
## permutation
Bijection of a set in itself.
A permutation of the n objects of a set E is all ordered combinations of these n elements. Therefore, a permutation of n objects in a set E of n elements is an n-tuple formed by these elements.
If E $$= \left\{0, 1, 2, 3\right\}$$, then a permutation of E co... | HuggingFaceTB/finemath | |
# A Rate Problem: Two Speeds, Two Ways
#### (A new question of the week)
A question we got at the end of March asked about a standard kind of algebra word problem that can be solved in a couple very different ways. It illustrates several choices that can be made (both about the meaning of the problem and how to solve... | HuggingFaceTB/finemath | |
Straight Dope Message Board > Main Calculating inflation in a spreadsheet
Register FAQ Calendar Mark Forums Read
#1
03-16-2008, 10:17 AM
flex727 Guest Join Date: Mar 2002
What is the proper way to account for inflation in a spreadhseet? Say I have a row for each month from today through 2050. I want to assume a con... | HuggingFaceTB/finemath | |
Newton’s laws and their applications
In physics Newton's three laws of motion are the basis of kinematics, the subject of this course. All three laws are detailed on this page. See also: Motion - Dynamics
Newton's Laws of Motion
Newtons law describes the body's motion in terms of physics. It has been widely accepted... | HuggingFaceTB/finemath | |
## 42985
42,985 (forty-two thousand nine hundred eighty-five) is an odd five-digits composite number following 42984 and preceding 42986. In scientific notation, it is written as 4.2985 × 104. The sum of its digits is 28. It has a total of 2 prime factors and 4 positive divisors. There are 34,384 positive integers (up... | HuggingFaceTB/finemath | |
Cantor's Diagonal Argument( Levels of Infinity )
While reading an article on Cantor's Diagonal Argument, I read that there are infinite numbers of levels of Infinity.
The Reason they gave for above claim– Let $$N$$ be set of all positive integers. Then$$:$$
$$|N|<|P(N)|<|P(P(N))|<\cdots$$
Thus starting with infinit... | HuggingFaceTB/finemath | |
# Difference Between Weighted Code and Non-Weighted Code🔴Digital Electronics in Hindi
69
## Difference Between Weighted Code and Non-Weighted Code Digital Electronics in Hindi
Code and Parity Difference Between Weighted Code and Non-Weighted Digital Electronics in Hindi @JK SMART LECTURE @engineeringclasses
Code... | HuggingFaceTB/finemath | |
+241 (0)7 734 56 76 Mon - Sun 24/7 GM Energy, Cite Shell Rue Rene Sousate, BP 1898 Port Gentil, Gabon
Achilles JQS
Ceritified
DGEPN
Ceritified
Suplier in region
Number One
# Problem solving is an essential part of doing math
It’s a procedure which may be applied to solve any difficulty which could be encountered.
Pr... | HuggingFaceTB/finemath | |
# What is the formula for calculating mean?
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores. Consider the following number set: 3, 4, 6, 6, 8, 9, 11. The mean is calculated in the following manner: 3 + 4 + 6 + 6 + 8 + 9 + 11 = 47.
## How do you calculate the ... | HuggingFaceTB/finemath | |
# Compton scattering
Homework Statement:
A photon with wavelength 0.1365 nm scatters from an electron that is initially at rest. What must be the angle between the direction of propagation of the incident and scattered photons if the speed of the electron immediately after the collision is 8.20×106 m/s?
Relevant Equat... | HuggingFaceTB/finemath | |
# Concrete Examples of Complex Term Analysis Using Predicate Logic
## How do you write a sentence with a predicate logic?
For example, you should transcribe ‘If Eve is a cat, then she loves herself. ‘ with the predicate logic sentence ‘Ce ⊃ Lee’. Notice that ‘she’ and ‘herself are both transcribed as ‘e’. That is bec... | HuggingFaceTB/finemath | |
# Graph sandwich problem
In graph theory and computer science, the graph sandwich problem is a problem of finding a graph that belongs to a particular family of graphs and is "sandwiched" between two other graphs, one of which must be a subgraph and the other of which must be a supergraph of the desired graph.
Graph ... | HuggingFaceTB/finemath | |
+0
# Pls help
0
168
2
Find constants and such that
$\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$
for all x such that x is not equal to -1 and x is not equal to -2. Give your answer as the ordered pair .
May 26, 2020
#1
0
If you let x go infinity, then you get 0 = A + B.
If you let x = 0, ... | HuggingFaceTB/finemath | |
Notes on Significant Figures | Grade 8 > Compulsory Maths > Real Number System | KULLABS.COM
• Note
• Things to remember
• Exercise
• Quiz
Numbers are often rounded to avoid reporting insignificant figures. Significant figures are often used in connecting with rounding.
Rounding 15.543 or 4.756 to 1 decimal place (d... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from milliliters to teaspoons is 0.20288413535365, which means that 1 milliliter is equal to 0.20288413535365 teaspoons:
1 ml = 0.20288413535365 tsp
To convert 125 milliliters into teaspoons we have to multiply 125 by the conversion factor in order to get the volume amount... | HuggingFaceTB/finemath | |
People have known for a long time that if you have two implicit surfaces f(x,y,z)=0 and g(x,y,z)=0 that are fairly continuous, with a common sign convention (f and g positive on the inside, negative on the outside, say) then the implicit surface defined by f+g=0 is a blend of the shapes. the equation (x - 1)^2 + y^2 = ... | open-web-math/open-web-math | |
Culture
# What shape is a sphere?
Rate this post
### What shape is a sphere?
A sphere is a round, ball-shaped solid.
### What is sphere example?
A sphere is a three-dimensional object with no vertices and edges. All the points on the surface of the sphere are equidistant from its center. Some real-world examples ... | HuggingFaceTB/finemath | |
75. Sort Colors
#### QUESTION:
Given an array with n objects colored red, white or blue, sort them in-place so that objects of the same color are adjacent, with the colors in the order red, white and blue.
Here, we will use the integers 0, 1, and 2 to represent the color red, white, and blue respectively.
Note: You... | HuggingFaceTB/finemath | |
# High School Math : Simplifying Expressions
## Example Questions
### Example Question #1 : Simplifying Expressions
Simplify .
Explanation:
When multiplying rational expressions, we simply have to multiply the numerators together and the denominators together. (Warning: you only need to find a lowest common denomi... | HuggingFaceTB/finemath | |
# Number 5150
### Properties of number 5150
Cross Sum:
Factorization:
2 * 5 * 5 * 103
Divisors:
1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
Count of divisors:
Sum of divisors:
Prime number?
No
Fibonacci number?
No
Bell Number?
No
Catalan Number?
No
Base 2 (Binary):
Base 3 (Ternary):
Base 4 (Quaternary):
Base... | HuggingFaceTB/finemath | |
Problem Solving and Computing (CSC-103 98S)
[Instructions] [Search] [Current] [Changes] [Syllabus] [Handouts] [Outlines] [Journal] [Problems] [Computing] [SamR Docs] [Tutorial] [API]
# Computing Lab Eleven: Dates, Revisited
Assigned: Thursday, April 16, 1998
You do not need to turn in anything for this lab. However... | HuggingFaceTB/finemath | |
# How to solve an irrational inequality?
How to solve the following inequality:
$$\sqrt{1-2x} < \sqrt{4 - x}$$
I don't understand why "$(1-2x)$ have to be $\ge 0$". If it was the rule for numbers inside a square root, I was checking whether we had to solve for "$4-x\ge 0$" as well.
• Square both sides of the inequa... | open-web-math/open-web-math | |
# General Mechanics/Fundamental Principles of Dynamics
## History of Dynamics
### Aristotle
Aristotle expounded a view of dynamics which agrees closely with our everyday experience of the world. Objects only move when a force is exerted upon them. As soon as the force goes away, the object stops moving. The act of p... | HuggingFaceTB/finemath | |
# A predictor's unique contribution - (visual) demonstration
A well-known property of regression models is that they capture the unique contribution of a predictor. By “unique” we mean the effect of the predictor (on the criterion) if the other predictor(s) is/are held constant. A typical classroom example goes along ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
Add 24/2 and 4/40
1st number: 12 0/2, 2nd number: 4/40
24/2 + 4/40 is 121/10.
Steps for adding fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 2 and 40 is 40
2. For the 1st fraction, since 2 × 20 = 40,
24/2 = 24 × 20/2 × 20 = 480/40
3. Like... | HuggingFaceTB/finemath | |
PartIIISec2_5
# PartIIISec2_5 - Game Theory Solutions to Exercises...
This preview shows pages 1–4. Sign up to view the full content.
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View Full Document
This preview has intentionally blurred sections. Sign up to view the full versi... | HuggingFaceTB/finemath | |
# Proving the angle sum and difference identities for sine and cosine without involving the functions' geometric meanings
For well known identities
$$\sin(\alpha \pm \beta) = \sin\alpha\cos\beta \pm \cos\alpha\sin\beta$$ $$\cos(\alpha \pm \beta) = \cos\alpha\cos\beta \mp \sin\alpha\sin\beta$$
is it possible to provi... | HuggingFaceTB/finemath | |
Which lattices have more than one minimal periodic coloring? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T15:15:06Z http://mathoverflow.net/feeds/question/11453 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/11453/which-lattices-have-more-than-one-minima... | HuggingFaceTB/finemath | |
# KSEEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.4
In this chapter, we provide KSEEB SSLC Class 9 Maths Chapter 1 Number Systems Ex 1.4 for English medium students, Which will very helpful for every student in their exams. Students can download the latest KSEEB SSLC Class 9 Maths Chapter 1 Number Syst... | HuggingFaceTB/finemath | |
# Blender setup for orthographic image rendering
I want to use blender to render some stuff for use with a 2D orthographic view with a scale that 1x1 blender unit is 64x48 pixels.
I set the camera up by hand (as I would use for normal 3D renders). This is fine for rendering my buildings etc., but causes slight issues... | open-web-math/open-web-math | |
# Search by Topic
#### Resources tagged with Patterned numbers similar to Breaking the Equation ' Empirical Argument = Proof ':
Filter by: Content type:
Stage:
Challenge level:
### There are 51 results
Broad Topics > Numbers and the Number System > Patterned numbers
### On the Importance of Pedantry
##### Stage: ... | HuggingFaceTB/finemath | |
# Stresses on opposite faces
I have a question about the typical stress tensor diagrams (shown here).
What assumption is made such that $\sigma_{x,x} = \sigma_{x,-x}$? In other words, why is the normal stress on one face always equal and opposite to the normal stress on the opposite face?
It seems to me that $\sigma... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Divide 28/75 with 7/9
28/75 ÷ 7/9 is 12/25.
#### Steps for dividing fractions
1. Find the reciprocal of the divisor
Reciprocal of 7/9: 9/7
2. Now, multiply it with the dividend
So, 28/75 ÷ 7/9 = 28/75 × 9/7
3. = 28 × 9/75 × 7 = 252/525
4. After reducing the fractio... | HuggingFaceTB/finemath | |
# Difference between revisions of "Rope around the Earth"
Rope around the Earth
Field: Geometry
Image Created By: Harrison Tasoff
Rope around the Earth
This is a puzzle, about a rope tied taut around the equator. How much must it be lenthened so that, if made to levitate, there is a one foot gap at all points betwee... | HuggingFaceTB/finemath | |
Mathematical tables: short multiplication formulas
Tables shows various short multiplication formulas. Both common formulas such as (a + b)² (square of a sum) and general cases (e.g. any power of a sum) are presented.
# Beta version#
BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy devel... | HuggingFaceTB/finemath | |
Tag Info
The expected squared deviation of a random variable from its mean; or, the average squared deviation of data about their mean.
The variance of a random variable $X$ is the expected squared deviation from its mean:
$$\mbox{Var}\left[X\right] = \mbox{E}\left[\left(X - \mbox{E}\left[X\right]\right)^2\right] = ... | HuggingFaceTB/finemath | |
Vous êtes sur la page 1sur 4
# Free Algebra Word Problems
Free Algebra Word Problems In mathematics, algebra can be considered as a part that specifies the relationship between operation and operands with in the form of expressions. Basically algebra includes the combination of various terms, polynomials and algebrai... | HuggingFaceTB/finemath | |
# Thread: [SOLVED] limit of the natural logarithm
1. ## [SOLVED] limit of the natural logarithm
How do you prove that $\displaystyle \lim_{x \to +\infty}ln(x) = +\infty$? Starting from the fact that $\displaystyle ln(x)=\int_1^x \frac{dt}{t}$, so without using anything related to $\displaystyle e^x$.
And also that $\... | HuggingFaceTB/finemath | |
Question Video: Finding the Integration of an Polynomial Function Multiplied by a Trigonometric Function Using Integration by Parts Mathematics • Higher Education
Use integration by parts to evaluate β«π₯ sin π₯ dπ₯.
03:21
Video Transcript
Use integration by parts to evaluate the indefinite integral of π₯ ... | HuggingFaceTB/finemath | |
# PHY C1: Physical Quantities & Units
Here’s a quick rundown of what we’ll be going through:
• Physical Quantities
• Reasonable Estimates of Quantities
• SI Units & Base Units
• Derived Units
• Homogeneity of Equations
• Standard Form
• Prefixes
• Labelling Graph Axes & Table Columns
Here we go!
What is a Physical ... | HuggingFaceTB/finemath | |
## Algebra: A Combined Approach (4th Edition)
$(-\infty, -5) \cup (-1, +\infty)$
$(x+1)(x+5)\gt0$ $(x+1)(x+5) =0$ $x=-1$ or $x=-5$ Plot these numbers on a number line,split them into intervals, take one test point from each interval, and check them to see if they are true. If they are true, then it is a solution. In t... | HuggingFaceTB/finemath | |
1. ## Inequalities
When using math induction on inequalities, I know we can drop positive values from the inequality without altering the meaning.
How can I word that better. I have wrote so far: Since $\displaystyle 2+2^k$ are both positive, we can drop them from the inequality without .....
How can I finish that s... | HuggingFaceTB/finemath | |
## Physical entropy production
A simple fact: let $T:X\to X$ be a homeomorphism preserving the measure-class of $\omega$, $J(T^k,x)$ be the Jacobian of $T^k$ at $x$. Then for any sequence $a(k)\to\infty$ with $\sum_k \frac{1}{a(k)}<+\infty$ we have $\limsup_k\frac{J(T^k,x)}{a(k)}=0$ for $\omega$-a.e. $x\in X$. For exa... | open-web-math/open-web-math | |
# Background of Hands-On Math
## Data Fitting - Curve Fitting - Interpolation -Approximation - Maximizing - Minimizing - Optimization - Solving
### Common Elements of Data and Curve Fitting, Approximation and Optimization, Maximization and Minimization.
Data and Curve Fitting, Approximation, and Optimization are mat... | HuggingFaceTB/finemath | |
# How to Use Decimals in Real Life
by ·
As a middle school math teacher, I always love showing my students how the math they learn relates to real life. It's an effective way to capture their attention, and it helps them retain the information they're learning.
When we were working on decimals in class, I wanted my ... | HuggingFaceTB/finemath | |
Introduction to Money Conversions | Cambridge IGCSE Mathematics
[Please watch the video attached at the end of this blog for a visual explanation of money conversions]
While this is quite a short lesson, this will definitely be a lesson that you rely on later in life, or perhaps even now. With how fast the world is m... | HuggingFaceTB/finemath | |
# Factorize:6x2 + 17x + 12
We have,
Now by using middle-term splitting, we get
= 6x2 + 9x + 8x + 12
= 3x (2x + 3) + 4 (2x + 3)
= (2x + 3) (3x + 4)
Hence,
The given expression can be factorized as:
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We strive to provide quality solutions. Please rate us to serve ... | HuggingFaceTB/finemath | |
# Bullet hits wood block, slides, hits ideal spring: cons. of energy/momentum
## Homework Statement
A 50g bullet traveling horizontally at 200 m/s embeds itself in a much more massive wooden block initially at rest on a horizontal surface ( $$\mu$$k = 0.10). The block then slides 1.2 m toward an ideal spring and coll... | HuggingFaceTB/finemath | |
# How many possible March Madness combinations are there?
I have been thinking about this for a while, but I can't figure out the math behind it.
There are 65 teams which compete in the NCAA Basketball tournament In March of every year.
I assume that you know what the bracket looks like, but I will go over it a bit:... | HuggingFaceTB/finemath | |
Science Forums
## Recommended Posts
In my studies to find the premise behind why prime numbers existed (and I really do think I'm onto something) I ended up from a calculation that gave me a number of 256, and after some online studying, this number is really important. I learned, that the number is vital in computer... | HuggingFaceTB/finemath | |
Leetcode
2020.04.15 03:37
# 973. K Closest Points to Origin
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We have a list of `points` on the plane. Find the `K` closest points to the origin `(0, 0)`.
(Here, the distance betwe... | HuggingFaceTB/finemath | |
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# Binary Multiplication Calculator
This Binary Multiplication Calculator is used to calculate the multiplication (product) of two given binary numbers. This is an easy and fast calculator that returns the multiplication of numbers (binary represented) instantly.
## Binary Multiplication Calculator
### Result: Mul... | HuggingFaceTB/finemath | |
# Multiples of 24
Created by: Team Maths - Examples.com, Last Updated: May 24, 2024
## Multiples of 24
Multiples of 24 are the numbers that result from multiplying 24 by integers. In mathematics, these numbers can be expressed as 24, 48, 72, and so on, showcasing the results of multiplication. Each multiple of 24 ca... | HuggingFaceTB/finemath | |
# Thermal Efficiency for Otto Cycle
A typical gasoline automotive engine operates at around 25% to 30% of thermal efficiency. About 70-75% is rejected as waste heat without being converted into useful work, i.e., work delivered to wheels.
When we rewrite the expression for thermal efficiency using the compression rat... | HuggingFaceTB/finemath | |
ISNUMBER Function
### How to Insert Timestamp in Excel When Cell Changes (2 Effective Ways)
This article illustrates how to timestamp in excel when a cell changes. You may need to keep track of data entries in the cells of a particular ...
### How to Count Specific Names in Excel (3 Useful Methods)
While investigat... | HuggingFaceTB/finemath | |
Solving Polynomial Equations
Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.
Polynomial in math means an equation containing two or more than two term. The word poly means many. Each term can consists of one or more than one unknown variables with ... | HuggingFaceTB/finemath | |
## ALGEBRAIC PROPERTIES OF EXPONENTS
Algebraic Properties of Exponents :
Here we are going to see some algebraic properties of exponents and example problems.
xmxn = xm+n
xmym = (xy)m
(xm)n = xmn
x0 = 1
x-m = 1/xm
xm/xn = xm - n
xm/ym = (x/y)m
## Algebraic Properties of Exponents Examples
Quest... | HuggingFaceTB/finemath | |
17 Questions
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# Rationalizing Surds
Created by
@InexpensiveGoshenite6656
### Why is rationalization necessary in expressions with surds?
• To introduce additional terms to the expression
• To make the expression look more complicated
• To simplify the numerator of the expression
• To avoid calculation errors... | HuggingFaceTB/finemath | |
# What’s the Use of the Pattern?
Many of those who are involved with labyrinths use the rectangular form, e.g. Jo Edkins, Niels Mejlhede Jensen, some authors in Caerdroia and many others. Erwin and myself have used it in many posts on this blog. Not all use the same rectangular form and not all use it the same way. Ho... | HuggingFaceTB/finemath | |
Linear Algebra - Elementary Canonical Forms [duplicate]
Let $N$ be a $2\times2$ complex matrix such that $N^2=0$. Prove that either $N=0$ or $N$ is similar over $\mathbb{C}$ to $$\begin{pmatrix}0&0\\1&0\end{pmatrix}$$
marked as duplicate by leo, Pedro Tamaroff♦, André Nicolas, user147263, OmnomnomnomSep 27 '14 at 1:4... | HuggingFaceTB/finemath | |
## Electrical CIRCUIT and NETWORK
Today we are going to know What is Electric Circuit and Network, Definition, and Types. There is a big difference between the electrical circuit and network you should know about it. This question may be asked to you in the Interview, so you should know.
To solve easily any circuit an... | HuggingFaceTB/finemath | |
# Finding Ka of an Acid from incomplete titration data
I'm studying for chem olympiad and have a question about a problem from a past year's test:
A pure sample of a monoprotic acid is dissolved in water. The sample is titrated with sodium hydroxide solution. At the point where $$20.0$$ mL of the NaOH solution has be... | HuggingFaceTB/finemath | |
MACHINE LEARNING RECIPES DATA CLEANING PYTHON DATA MUNGING PANDAS CHEATSHEET ALL TAGS
# Given 2 arrays create a Cauchy matrix from it using numpy
This recipe helps you create a Cauchy matrix from the given 2 arrays using numpy
## Recipe Objective
A Cauchy matrix is a matrix determined by two vectors. Given two ... | HuggingFaceTB/finemath | |
# College algebra 5th edition
###### Question:
Let x be the angle (in degrees) at which a baseball is hitwith no spin at an initial speed of 40meters per second and letd(x) be the distance (in meters) the balltravels. the table showsthe distances for the different angles at which the ball ishit.x10153036424445485460d... | HuggingFaceTB/finemath | |
5960 (number)
5,960 (five thousand nine hundred sixty) is an even four-digits composite number following 5959 and preceding 5961. In scientific notation, it is written as 5.96 × 103. The sum of its digits is 20. It has a total of 5 prime factors and 16 positive divisors. There are 2,368 positive integers (up to 5960) ... | HuggingFaceTB/finemath | |
# Encountering Infinity Twice in a Row
My last few posts have been on life at Cornell, and this one is really not much different. I typically blog about other topics, but this school, this place is so interesting! Anyway, what I cover in this post are two of my classes, Math 2230 and Comp-Sci 1610 (both of which I too... | HuggingFaceTB/finemath |
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