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There is Quadratic function equation solver that can make the technique much easier. Let's try the best math solver.
## The Best Quadratic function equation solver
In this blog post, we will show you how to work with Quadratic function equation solver. Vertical asymptote is the line that shows the maximum value of a... | HuggingFaceTB/finemath | |
# Gijswijt's sequence
In mathematics, Gijswijt's sequence (named after D.C. Gijswijt by Neil Sloane[1]) is a self-describing sequence where each term counts the number of repeated blocks of numbers in the sequence immediately preceding that term.
The sequence begins with:
1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2,... | HuggingFaceTB/finemath | |
# Problem in the theory of finding the unique solution of $-u'' = \delta_0$ and $-u'' + cu= \delta_0$
I have theese two problems:
(I) Find the unique distribution $$u \in H^1(-1,1)$$ such that $$-u'' = \delta_0$$ and $$u(-1) = u(1) = 0$$.
(II) Let $$c > 0$$, find the unique distribution $$u \in H^1(\mathbb{R})$$ suc... | HuggingFaceTB/finemath | |
# Different types of recurrence relations and their solutions
In this article, we will see how we can solve different types of recurrence relations using different approaches. Before understanding this article, you should have idea about recurrence relations and different method to solve them (See : Worst, Average and... | HuggingFaceTB/finemath | |
an encyclopedia of finite element definitions
Degree 2 serendipity H(div) on a quadrilateral
◀ Back to serendipity H(div) definition page
In this example:
• $$R$$ is the reference quadrilateral. The following numbering of the subentities of the reference is used:
• $$\mathcal{V}$$ is spanned by: $$\left(\begin{array}... | HuggingFaceTB/finemath | |
Average Questions Answers (MCQ) listings with explanations includes calculating average in different type of questions a which are important for many competitive exams.
11) The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age... | HuggingFaceTB/finemath | |
# SOLVE: 3x( it is not multiplication) -4(x+5)\2
2
by mentaal1
2015-06-16T19:45:59+05:30
3x-4x-20/2
-x-20/2=0
-x-20=0
-x=20
x=-20
can i ask u aquestion anna 3(x+4\5)-5\3(x+2)-11\15
It's nearly -16x+75\15
I'm busy I will tell u later my dear sister
k thank u
Kk
2015-06-17T08:49:41+05:30
3x-4(x+5)/2
=(3x-4x-20)/2
=(-x-... | HuggingFaceTB/finemath | |
# Physics
A daredevil decides to jump a canyon of width 6.5 m. To do so, he drives a motorcycle up an incline sloped at an angle of 9.45◦.
The acceleration of gravity is 9.8 m/s2 .
What minimum speed must he have in or- der to clear the canyon?
1. 👍 0
2. 👎 0
3. 👁 197
1. Assuming both sides of the canyon are at the... | HuggingFaceTB/finemath | |
## Triangle Convertor for Cartesian, Trilinear and Barycentric Coordinates
### Names and Terms
The triangle has vertices A, B and C and these names also refer to the triangle's angles at these vertices.
The side opposite vertex A is BC and is also called a which is its length; similarly for sides b and c.
Cartesian C... | HuggingFaceTB/finemath | |
# If gravity of the Earth is so strong and pulling the moon [closed]
If the gravity of the earth is so great that it is pulling the moon, then why aren't we - humans - so strongly attracted to earth that we can't even lift ourselves up?
• 1. is indeed answered by the difference in mass you've read about; 2. is a dupl... | HuggingFaceTB/finemath | |
<meta http-equiv="refresh" content="1; url=/nojavascript/">
You are reading an older version of this FlexBook® textbook: CK-12 Trigonometry - Second Edition Go to the latest version.
# 6.3: Converting Between Systems
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Convert rectangular coordinat... | open-web-math/open-web-math | |
is what % of ?
36.49%
# How to solve this problem
## A step by step guide
This type of problem is simple to solve and has many uses in day to day life. One example of this calculating what percentage grade you scored on a test. Solving this type of problem involes two simple math problems. Like many percentage probl... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
9/16 + 2/9 is 113/144.
1. Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144
2. For the 1st fraction, since 16 × 9 = 144,
9/16 = 9 × 9/16 × 9 = 81/144
3. Likew... | HuggingFaceTB/finemath | |
# Limit of product series for convergent and increasing sequences
Suppose $a_1,a_2,\ldots\in\mathbb{C}$ and $b_1,b_2,\ldots\in\mathbb{R}$.
Suppose also that $\sum a_n$ converges, that $b_n\leq b_{n+1}$ for all $n\geq 1$, and that $\lim_{n\rightarrow\infty}b_n=\infty$.
I want to show that
$$\lim_{N\rightarrow\infty}... | HuggingFaceTB/finemath | |
Article| Volume 106, ISSUE 3, P687-695, February 04, 2014
Mechanical Stability and Reversible Fracture of Vault Particles
Open Archive
Abstract
Vaults are the largest ribonucleoprotein particles found in eukaryotic cells, with an unclear cellular function and promising applications as vehicles for drug delivery. In... | open-web-math/open-web-math | |
18.S997 | Fall 2011 | Undergraduate
# Introduction To MATLAB Programming
Vectorization and User-Defined Functions
## Scope
Functions define a small world of variables that are isolated from the rest of the “workspace”. This is mostly a good thing, though you may find it limiting at times. It is important to realize... | HuggingFaceTB/finemath | |
## O is the circumcenter of the isosceles triangle ABC, whose AB= AC , the point A and O are opposite in side of angle BOC =100° , let us write
Question
O is the circumcenter of the isosceles triangle ABC, whose AB= AC , the point A and O are opposite in side of angle BOC =100° , let us write by calculating the value... | HuggingFaceTB/finemath | |
## Number of Square Units
What is the number of square units enclosed by the polygon $ABCDE$?
Source: NCTM Mathematics Teacher 2006
SOLUTION
Polygon $HEJC$ encloses polygon $ABCDE$.
Number of square units inside polygon $HEJC$
$9\times 10=90$
Number of square units inside polygon $GBC$
$6\div 2=3$
Number of square u... | HuggingFaceTB/finemath | |
# Trouble Determining Moment Arm (aka Lever Arm)
ΣM=Στ
## The Attempt at a Solution
I know how to get the net torque about point P, but I am having difficulty determining where the moment arms for each force should be. I did 9 simpler questions before this no problem, but this diagram is a bit more complicated and I... | HuggingFaceTB/finemath | |
Algebraic Identity (a - b)²
## Objective
To verify the algebraic identity (a-b)² = a² - 2ab + b².
## Algebraic Identity
• An algebraic identity is an equality, which is true for all values of the variables in the equality.
• The algebraic equations which are valid for all values of variables in them are called alge... | HuggingFaceTB/finemath | |
In the following exercises, evaluate the … Let u = x2+5 x so that du = (2 x+5) dx . The MATH1011 Quiz 11 should also be appropriate to try. Integration by Substitution. To access a wealth of additional AH Maths free resources by topic please use the above Search Bar or click on any of the Topic Links at the bottom of t... | open-web-math/open-web-math | |
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Consider the following problem: “The serum test screens pregnant women for babies with Down’s syndrome. The test is a very good one, but not perfect. Roughly 1% of babies have Down’s syndrome. If the baby has Down’s syndrome, there is a 90% chance that the result will be positive. If the baby is u... | HuggingFaceTB/finemath | |
# Verifying that this is an identity?
• Aug 5th 2011, 12:58 PM
explodingtoenails
Verifying that this is an identity?
Trig and I are not very good friends...
$\displaystyle \displaystyle \frac{1 + tan^2x}{csc^2x} = tan^2x$
This is what I tried:
$\displaystyle \displaystyle \frac{1 + (sin^2x/cos^2x)}{(1/sin^2x)} = ta... | HuggingFaceTB/finemath | |
How do I solve this?
Determine the point(s) of intersection of the following two parabolas
f(x)= x^2 -10x + 21 and g(x)= -x^2 + 12x -35
(i did this: x^2 -10x + 21 = -x^2 + 12x -35 and then i added them all, changing the signs of the second expression because thats how i was tought, and i got this 2x^2 -22x +56 and a... | HuggingFaceTB/finemath | |
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Toolkit
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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.
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we will pick new questio... | HuggingFaceTB/finemath | |
# Decimal Coinage
### cent coins system pound penny unit value
DECIMAL COINAGE. It has often been proposed to substitute for our quarto-duodecimo-vicesimal system of reckoning money one entirely decimal, and therefore in harmony with the system, employed in all civilized coun-tries, of reckoning numbers both integral... | HuggingFaceTB/finemath | |
# Electron in the proximity of a magnetic monopole
I am puzzling about an exercise in the book "Electromagnetic Theory" by Ferraro (p.543).
An electron (mass $m$, charge $-e$) in a monopole magnetic field $\vec{B}\left(\vec{r}\right)=g\frac{\vec{r}}{r^3}$ has due to the Lorentz force $\vec{F}_L=-e\vec{v}\times\vec{B}... | HuggingFaceTB/finemath | |
# I need to solve this D. E. (( plz help ) #2
• Jun 28th 2009, 05:26 AM
amro05
I need to solve this D. E. (( plz help ) #2
• Jun 28th 2009, 06:05 AM
shawsend
Suppose you had $x-e^x=c$ and you know that if you can put it into the form $k=ge^{g}$, then you can take the Lambert W function of both sides and obtain $g=W(k)... | HuggingFaceTB/finemath | |
Home » Technical Interview Questions » Dynamic Programming Interview Questions » Longest Increasing Consecutive Subsequence
# Longest Increasing Consecutive Subsequence
Difficulty Level Easy
Subsequences are another topic loved by interviewers. Tweaking them around can always give them new opportunities for testing ... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A036319 Composite numbers whose prime factors have no digits other than 4's and 9's. 3
201601, 224051, 249001, 2244551, 2494501, 4467101, 4964551, 19957601, 22180051, 22225... | HuggingFaceTB/finemath | |
# 26354 (number)
26,354 (twenty-six thousand three hundred fifty-four) is an even five-digits composite number following 26353 and preceding 26355. In scientific notation, it is written as 2.6354 × 104. The sum of its digits is 20. It has a total of 2 prime factors and 4 positive divisors. There are 13,176 positive in... | HuggingFaceTB/finemath | |
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Explore the Back-Story
# Sine Rule and Incenter - RMO 2009 Geometry ##### The Problem
Let ABC be a triangle in which AB = AC and let I be its in-centre. Suppose BC = AB + AI. Find ∠BAC.
#### Big Ideas
• For any triangle ABC, $\frac{\sin A}{a} = \frac{\sin B } {b} = \fra... | HuggingFaceTB/finemath | |
# Talk:2007 AIME II Problems/Problem 14
Here is a completed solution to 2007AIMEII-14. Let $f\left( x \right) = \sum\limits_{i = 0}^n {a_i x^i }$. $[f\left( 0 \right) = 1 \Rightarrow a_0 = 1 ]$. $f\left( x \right)f\left( {2x^2 } \right) = f\left( {2x^3 + x} \right) \Rightarrow \ldots \Rightarrow a_n = 1$. $f\left( { \... | HuggingFaceTB/finemath | |
# Trigonometry Examples
Graph y=csc(x/2)
Find the asymptotes.
For any , vertical asymptotes occur at , where is an integer. Use the basic period for , , to find the vertical asymptotes for . Set the inside of the cosecant function, , for equal to to find where the vertical asymptote occurs for .
Set the numerator equa... | HuggingFaceTB/finemath | |
# Properties of Whole Number
To understand the concept of Whole Numbers first we need to know what are Natural Numbers and then we will be able to understand about Properties of Whole Number.
Natural Numbers come naturally when we start counting like numbers 1,2,3,4 and hence they are called Natural Numbers.
## Intr... | HuggingFaceTB/finemath | |
#
# Pre Algebra
Pre algebra is mathematics course studied in middle school consisting of basic algebra operations such as factorization, simplification, solving equations. Get Pre Algebra help online with TutorVista. Solve problems, work on basic concepts and get help with your homework too. TutorVista’s intensive Pr... | open-web-math/open-web-math | |
Hilbert - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.
# Online Help
###### All Products Maple MapleSim
SignalProcessing
Hilbert
calculates the Hilbert Transform of a 1-D signal
Calling Sequence Hilbert( signal, fftlength )
Parameters
signa... | HuggingFaceTB/finemath | |
# Noetherian ring
In mathematics, more specifically in the area of abstract algebra known as ring theory, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals, which means there is no infinite ascending sequence of left (or right) ideals; that is, given any chain of left (o... | HuggingFaceTB/finemath | |
# Present Value of $10 in 32 Years When you have a single payment that will be made to you, in this case$10, and you know that it will be paid in a certain number of years, in this case 32 years, you can use the present value formula to calculate what that $10 is worth today. Below is the present value formula we'll us... | HuggingFaceTB/finemath | |
# A Large Urn
This week’s challenge is from Hirokazu Iwasawa’s 2013 book “The Essence of Probability.” Mr. Iwasawa is a mathematics writer and lecturer in Japan whose puzzles have won Puzzle Design Competition awards including Puzzle of the Year (2008), First Prize (2009) and the Puzzler’s Award (2012); I had the good... | HuggingFaceTB/finemath | |
1. ## Heat diffusion, Gaussian
Hi,
I need to evaluate intergral (-inf, inf) of S(x-y, t)dx where y element R and where s(x, t) = (1/2sqrt(pi*k*t))e^((-x^2)/4kt). You are supposed to use the fact that intergral (-inf, inf) e^-ax^2dx = sqrt(pi/a). I know there is some trick you need to do at the beginning but not sure w... | HuggingFaceTB/finemath | |
754 views
Consider a function is_greater() given below. Mark all option(s) which return $1$.
int is_greater(unsigned int x, unsigned int y)
{
if(x-y > 0)
return 1;
else
return 0;
}
1. is_greater$(1, 2)$
2. is_greater$(-1, -2)$
3. is_greater$(-2, -1)$
4. is_greater$(-1, 0)$
This is my approach
edited
For this quest... | HuggingFaceTB/finemath | |
# Calculation of Junction Temperature, TJ
## Thermal Resistance
The following figure shows a conceptual diagram of thermal resistance, RθJC. The specified position of temperature depends on the package and product. Where:
TJ is junction temperature,
TC is case temperature, and
RθJC is thermal resistance between junct... | HuggingFaceTB/finemath | |
Free Algebra Tutorials!
Home Systems of Linear Equations and Problem Solving Solving Quadratic Equations Solve Absolute Value Inequalities Solving Quadratic Equations Solving Quadratic Inequalities Solving Systems of Equations Row Reduction Solving Systems of Linear Equations by Graphing Solving Quadratic Equations So... | HuggingFaceTB/finemath | |
Unit Circle
Unit circle is a circle with radius 1 unit. Thus, its name is a unit circle. This simplest circle is the foundation of six functions in trigonometry namely sine, cosine, tangent, cotangent, cosecant and secant.
Unit circle is a circle with unit 1
In analytical geometry, unit circle has an equation of $x... | HuggingFaceTB/finemath | |
phys1002_sln01_sm2_2007
# phys1002_sln01_sm2_2007 - PHYS1002 TUTORIAL 1 SOLUTIONS...
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1 PHYS1002 TUTORIAL 1 SOLUTIONS Semester 2, 2007 1. COULOMB’S LAW (a) The magnitude of the force between two point charges Q 1 and Q 2 separated by a distance r is give... | HuggingFaceTB/finemath | |
Tetration Forum
Full Version: the logical hierarchy
You're currently viewing a stripped down version of our content. View the full version with proper formatting.
here i present what is according to me the " logical hierarchy "
i found it important to say , because it appears often on math forums and is usually state... | HuggingFaceTB/finemath | |
# The probability that a student takes an English class and a math class is 0.084. The probability that a student takes an English class is 0.49. What is the probability that a student takes a math class given that the student is taking an English class?
Students were asked to answer a question at schools and to decla... | HuggingFaceTB/finemath | |
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# 5th Grade Math Intervention Bundle NO PREP RTI Intervention for Math
Subject
Resource Type
Common Core Standards
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WANT O... | HuggingFaceTB/finemath | |
# Logarithms-15
Express as a single logarithm :
2 + 1 / 2 log 10 9 - 2 log 10 5
Solution:
2 + 1 / 2 log 10 9 - 2 log 10 5
= log 10 100 + 1 / 2 log 10 3 2 - log 10 5 2 [log 10 100 = 2 ; log 9 = log 3 2 and 2 log 5 = log 52]
= log 10 100 + 1 / 2 X 2 log 10 3 - log 10 25
= log 10 (100 X 3) / 25 = log 10 12 [log a +... | HuggingFaceTB/finemath | |
# (4,1) is one end of diametre of a circle and the tangent through the point at the other end of the diameter has equation 3x-y=1. Determine the...(4,1) is one end of diametre of a circle and the...
(4,1) is one end of diametre of a circle and the tangent through the point at the other end of the diameter has equation... | HuggingFaceTB/finemath | |
# The Formula to Calculate Gravitational Potential Energy
The work done on an object against the pull of gravity, can be estimated from its potential energy. The computation formula for the same, has been explained in this article.
Omkar Phatak
Last Updated: Dec 10, 2017
Gravity is the all-pervading, inescapable force... | HuggingFaceTB/finemath | |
How To
How to Solve a 2 x 2 Rubik’s Cube
Do you want to learn how to solve a Rubik’s Cube? Of course you do! Start with a 2 x 2 cube so you can memorize what the directions stand for and memorize the algorithm.
R- right side of cube, moves clockwise, away from you
R1 – right side of cube, moves counter clockwise, to... | HuggingFaceTB/finemath | |
Week 2, Dolphins at Jaguars
4th-and-3, 3:23 remaining in 1st quarter, Up by 4
The Jaguars attempted a field goal on a 4th-and-3 on the Dolphins’ 9. The NYT 4th Down Bot would have gone for it.
If you disagree
The coach’s decision to attempt a field goal is the right call if you think the Jaguars’ chances of converting... | HuggingFaceTB/finemath | |
# Product Rule and Independent Events
## Transcript
Single digits are being generated randomly, so like these kind of numbers. It doesn’t have to be a five-digit number but these are the kind of things randomly generated. It can be any random number, okay? And it can be repeated or there’s no limit to this. So it’s l... | HuggingFaceTB/finemath | |
# Given the Graph of a Fourier Series $\sum c_k e^{2\pi ikx}$ Find the Graphs of $\sum c_{3k} e^{2\pi ikx}$ and $\sum (c_k)^2 e^{2\pi ikx}$
Define a 1-periodic function on $\mathbb{R}$ by:
$f(x) :=$ $\left\{\begin{matrix} 1 & if & 0<x<\frac{1}{10}\\ 0 & if & \frac{1}{10}<x<1 \end{matrix}\right.$
with Fourier series ... | HuggingFaceTB/finemath | |
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Powerful way to perform continuum sum JmsNxn Long Time Fellow Posts: 413 Threads: 81 Joined: Dec 2010 08/11/2013, 08:18 PM (This post was last modified: 08/11/2013, 08:38 PM by JmsNxn.) (08/11/2013, 07:31 PM)tommy1729 Wrote: This is probably one of your best posts imho. Alth... | HuggingFaceTB/finemath | |
You are Here: Home >< Maths
# Simple harmonic motion: origin of the formula v^2=w^2(a^2-x^2) watch
1. I forgot how this formula comes in the simple harmonic motion. I mean but then how do you substitute in place of r^2. Something to do with circles. Just couldn't find in the M3 book. Please help me or give me some li... | HuggingFaceTB/finemath | |
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### Course: AP®︎/College Calculus BC>Unit 7
Lesson 8: Exponential models with differential equatio... | HuggingFaceTB/finemath | |
Assume you have learned that the winning numbers in the state lottery are 1, 2, 3, 4, 5, and 6. Would you suspect that the drawing is faulty? You very well may, but why? After all, the probability of this sequence is no smaller than the probability of 9, 15, 21, 40, 54 and 11 (the winning numbers in California’s draw #... | HuggingFaceTB/finemath | |
# how to get rid of the denominator in the squareroot, that appears in the denominator?
Here is an example: $$\frac{\nu y_0}{\left(x_0+\frac{1}{2}\right) \sqrt{\nu ^2+\frac{\left(4 x_0^2+4 y_0^2-1\right){}^2}{16 y_0^2}}}$$
test=(\[Nu] Subscript[y, 0])/((1/2+Subscript[x, 0]) Sqrt[\[Nu]^2+(-1+4 Subsuperscript[x, 0, 2]... | HuggingFaceTB/finemath | |
Network Theorems Objective Questions and Answers - ObjectiveBooks
# Practice Test: Question Set - 04
1. The superposition theorem is applicable to
(A) Voltage only
(B) Current only
(C) Both current and voltage
(D) Current, voltage and power
2. Superposition theorem can be applied only to circuits having
(A) Resistiv... | HuggingFaceTB/finemath | |
UNIT 4 IP ITC
In this project, you will complete a partially filled out expense report for a company’s sales force and then save it. To view these instructions while you work in Excel, you can print this page of instructions or move back and forth between this page and Excel by clicking each application’s button on th... | HuggingFaceTB/finemath | |
# Division fractions - how to share fractions 🤔
## Concept of fraci
Fraction - One of the forms of representing a number in mathematics. This is a record in which a и bare numbers or expressions. There are two recording formats:
• Ordinary view - 1/2 or A / B,
• Decimal view - 0.5.
Above the line is taken to writ... | HuggingFaceTB/finemath | |
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### 11 Graph inverse semigroups
In this chapter we describe a class of semigroups arising from directed graphs.
The functionality in Semigroups for graph inverse semigroups was written jointly by Zak Mesyan (UCCS) and J. D. Mitchell (St Andrew... | HuggingFaceTB/finemath | |
# derivative
(redirected from differentiability)
Also found in: Dictionary, Thesaurus, Medical, Legal, Financial.
## derivative:
see calculuscalculus,
branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a limit—the ... | HuggingFaceTB/finemath | |
# Answers to homework questions free
Answers to homework questions free is a mathematical instrument that assists to solve math equations. We can help me with math work.
## The Best Answers to homework questions free
This Answers to homework questions free helps to fast and easily solve any math problems. Calc is an... | HuggingFaceTB/finemath | |
DCI Placement Paper Aptitude - Numerical Not Specified-31 Dec 1899
#### DCI Placement Paper Aptitude - Numerical Not Specified-31 Dec 1899
• Posted by FreshersWorld
7 Jan, 2012
# DOT COM INFOWAY LTD. APTITUDE TESTING QUESTION SHEET
2. Each question carries 1 mark
4. No Negative marks for any questions
... | HuggingFaceTB/finemath | |
During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.
2012 AMC 8 Problems/Problem 25
Problem
A square with area 4 is inscribed in a square with area 5, with one vertex of the smaller square on each side of the larger square. A vertex of the smaller square divides a side of the larger square i... | HuggingFaceTB/finemath | |
## Perpendicular lines
Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes
### Perpendicular lines
IB Mathematics SL, slope of a line, perpendicular & parallel lines
How can we find the slope of the line which is perpendicu... | HuggingFaceTB/finemath | |
# Name: _____________________________ Pd: __________ Exploring Inverse Functions (Activity)
```Name: _____________________________
Pd: __________
Exploring Inverse Functions (Activity)
Learning Target: I can determine how a function and its inverse are related.
Find the inverse of 𝑓 (𝑥 ) =
𝑥+2
3
Step 1: a. Make Tab... | HuggingFaceTB/finemath | |
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# University Degree: Physics
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Meet our team of inspirational teachers
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# An introduction to bitwise operators
, 8 May 2002 CPOL
Rate this:
## Introduction
I have noticed that some people seem to have problems with bitwise operators, so I decided to write this brief tutorial on how to use them.
#... | HuggingFaceTB/finemath | |
# find y as a function of x if y'''+36y'=0 y(0)=-6 , y'(0)=-18, y''(0)=-36?
Relevance
The characteristic equation is m^3 + 36*m = 0 ----> m*(m^2 + 36) = 0,
so m = 0, m = 6i and m = -6i are the roots.
Thus the general solution is y(x) = c*e^(6i*x) + k*e^(-6i*x) + C.
Now y(0) = c + k + C = -6.
Next, y'(x) = 6i*c*e^... | HuggingFaceTB/finemath | |
« Section 3.3: Problem 10 Solution
# Section 3.3: Problem 11 Solution
Working problems is a crucial part of learning mathematics. No one can learn... merely by poring over the definitions, theorems, and examples that are worked out in the text. One must work part of it out for oneself. To provide that opportunity is ... | open-web-math/open-web-math | |
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# Ring Counter in Digital Logic
Last Updated on August 30, 2023 b... | HuggingFaceTB/finemath | |
# Difference between revisions of "Abelian group"
An abelian group is a group in which the group operation is commutative. They are named after Norwegian mathematician Niels Abel. For a group to be considered abelian, it must meet several requirements.
Closure
For all $a,b$ $\in$ $S$, and for all operations... | HuggingFaceTB/finemath | |
# Proof by Induction
Prove that
$$\sum_{r=1}^n rr! = (n+1)!-1$$
for $$n>1$$
In order to prove a mathematical identity, one needs to show that the identity is valid for all the values in the desired range. Trying all the values in that range is practically impossible.
The induction method starts by proving the ident... | HuggingFaceTB/finemath | |
# Thread: Hypothesis testing
1. ## Hypothesis testing
Determine whether CCResort has been successful in meeting their key performance indicators stated in the business plan as:
1- More than 40% of their customers stay for a full week (ie. 7 days)
2- The average customer spends more than \$ 255 per day in excess of ac... | HuggingFaceTB/finemath | |
# Triangle and It’s Properties
You may have come across the word ‘triangle’ several times in your life. You may also know how its shape is and how it varies from a square or a circle. However, this article sheds light on what a triangle is in the context of mathematics.
On top of that, you will also come to know abo... | HuggingFaceTB/finemath | |
# Regression Model Case Study
Regression Model Case Study
Case Study #4 will assess your ability to apply the concepts of chapter 10 to conduct simple and multiple regression analyses to create a prediction model for home prices based on up to four independent variables. You will calculate various descriptive statist... | HuggingFaceTB/finemath | |
# How do I calculate the landing weight in this situation?
Empty weight 538kg
Pilot and passengers are 150kg with full fuel tanks
If we use 2 US gallons for taxi and 10 US gallons for the trip, what will be our landing weight?
• Fuel Capacity
• Total Fuel Quantity: 24.5 US gal. (93.0 liters)
• Usable Fuel: 24.0 US g... | HuggingFaceTB/finemath | |
# Find the value
Question:
Find the value of $\cos ^{-1}\left(\cos \frac{13 \pi}{6}\right)$
Solution:
$\cos ^{-1}\left(\cos \frac{13 \pi}{6}\right)=\cos ^{-1}\left[\cos \left(2 \pi+\frac{\pi}{6}\right)\right]$
$=\cos ^{-1}\left[\cos \left(\frac{\pi}{6}\right)\right]$
$=\frac{\pi}{6}$ | HuggingFaceTB/finemath | |
Pressure measurement
# Pressure as a physical quantity
Pressure is one of the most frequently measured and controlled physical measurands in automation technology. It has a direct influence on the flow of production and industrial processes. This article explains the basics of pressure and its measurement.
## What ... | HuggingFaceTB/finemath | |
# The period in math means that the shortest.
The ending of the shortest term is that the minimum. If the minimum is achieved subsequently your term is used up. The identify of the really is known as end-of-term from arithmetic.
More than a few folks are confused about the answer of that which http://sanantoniodearec... | HuggingFaceTB/finemath | |
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# DATA HANDLING #%
Chapter 3
Data
Handling
3.1 INTRODUCTION
In your previous classes, you have dealt with various types of data. You have learnt to
collect data, tabulate and put it in the form of bar graphs. The collection, recording and
presentation of data help us organise our experienc... | HuggingFaceTB/finemath | |
# A Geometric Approach to Differential Forms by David Bachman
1. Mar 14, 2005
### Tom Mattson
Staff Emeritus
Hello folks,
I found a lovely little book online called A Geometric Approach to Differential Forms by David Bachman on the LANL arXiv. I've always wanted to learn this subject, and so I did something that wo... | open-web-math/open-web-math | |
# Simple harmonic motion of some mass
• jasonbans
In summary: So if the mass starts out at position P and displaces by +8.5cm to Q then the cycle is considered to have started at P+8.5 and ended at Q.
## Homework Statement
A 0.25-kg mass is attached to the end of a spring that is attached horizontally to
a wall. Whe... | HuggingFaceTB/finemath | |
# 22.17 kg to lbs - 22.17 kilograms to pounds
Before we go to the practice - it means 22.17 kg how much lbs conversion - we want to tell you a little bit of theoretical information about these two units - kilograms and pounds. So let’s start.
How to convert 22.17 kg to lbs? 22.17 kilograms it is equal 48.8764834854 p... | HuggingFaceTB/finemath | |
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[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 122: include() [fu... | open-web-math/open-web-math | |
# corbett maths probability exam questions
(b) Find the probability that Jane wins the first game and David wins the second game. The loaves are displayed in baskets of twelve. (a) There are 24 people at a Football Club supporters' meeting in Dudley. At the Trantown annual Fayre there are a number of different sidesho... | open-web-math/open-web-math | |
# How can I determine the frequency of a sine wave signal with gradually increasing frequency?
I have been trying to solve the following problem. I have a DSP algorithm where these variables occur:
$$x(k) = \cos[\theta(k)],\quad y(k) = \sin[\theta(k)]$$
I have recorded both of them and I would like to determine thei... | HuggingFaceTB/finemath | |
The Learning Edge
Vectors lesson 1 – vector vs. scalar quantities, magnitude and direction, vector addition.
We introduce you guys what a vector quantity is (as opposed to scalar quantity), draw some examples of vectors (with magnitude and direction), and do a vector addition problem.
Vector Intro – Scalar Multiplic... | HuggingFaceTB/finemath | |
# How many collisions (identical pairs) are possible in meet in the middle attack on double DES with two unique keys?
I was reading my professors slides, I understand how meet in the middle works, but I have a few confusions. So we need two $$\{(P_1, C_1), (P_2, C_2)\}$$. Let $$\lg{(k_1)} = \lg{(k_2)} = 56$$, we gener... | HuggingFaceTB/finemath | |
Question
# We take a rectangular glass slab with a thickness of 13 mm. There are perfectly aligned...
We take a rectangular glass slab with a thickness of 13 mm. There are perfectly aligned rulers on the two long surfaces, ruler A and ruler B. The glass has an index of refraction of 1.3 with no dispersion. We aim a l... | HuggingFaceTB/finemath | |
It is currently 17 Oct 2017, 21:19
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we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
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# Homework Help: Some higher order differential equations
1. Jan 30, 2008
### roldy
1. The problem statement, all variables and given/known data
a) s^2*t''+st*t'=s
b) y(dx/dy)^2=x^2+1
c) 17y''''-t^6*y"-4.2y^5=3cost(t)
2. Relevant equations
3. The attempt at a solution
For part a I thought about doing a reduction ... | HuggingFaceTB/finemath | |
## How countless pounds and ounces in 0.8 kilogram?
How many lbs and also oz in 800 grams? there is 1 lb 12 3/16 oz (ounces) in 800 kg. Use our calculator below to transform any type of kg or grams value in lbs and also ounces.
You are watching: How many pounds is 800 grams
Using this converter you can get answers t... | HuggingFaceTB/finemath | |
# 71 cm to inch converter
## FAQs on 71 cm to inch
### How many inches is in a centimeter?
If you want to convert 71 centimeters into the equivalent of inches, first you need to know how many inches 1 cm equals.
Here’s what I can be specific: one centimeter is equal to 0.3937 inches.
### How do you convert 1 cm in... | HuggingFaceTB/finemath |
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