question stringlengths 200 50k | answer stringclasses 1
value | source stringclasses 2
values |
|---|---|---|
NCERT Solutions for class 12th Mathematics Chapter 9 Differential Equations
Exercise 9.1
Determinate order and degree (if defined) of the differential equations given in Questions 1 to 10
Question 11. The degree of the differential equation
Question 12. The order of the differential equation
Exercise 9.2
Verify t... | HuggingFaceTB/finemath | |
Is 33834 a prime number? What are the divisors of 33834?
## Parity of 33 834
33 834 is an even number, because it is evenly divisible by 2: 33 834 / 2 = 16 917.
Find out more:
## Is 33 834 a perfect square number?
A number is a perfect square (or a square number) if its square root is an integer; that is to say, i... | HuggingFaceTB/finemath | |
0
# How do you find the density of an object without finding its mass?
Updated: 9/13/2023
Wiki User
15y ago
The speed of sound through an object is related to the density and elasticity of the material. Velocity = square root of (elasticity (bulk modulus) divided by density). Thus if you can measure the material's... | HuggingFaceTB/finemath | |
# Electrolysis of water in 0.1 M hydrochloric acid
For water electrolysis in acidic media ($\ce{TiO2}$ anode and $\ce{Pt}$ cathode) the half reactions for water splitting and $\ce{O2/H2}$ evolution are as follows:
1. Anode: $\ce{H2O + 4 H+ -> 4 H+ + O2}~~(E = \pu{-1.23 V}\text{ vs NHE})$
2. Cathode: $\ce{4H+ + 4 e- ... | open-web-math/open-web-math | |
# Computer Algorithms: Prim’s Minimum Spanning Tree
## Introduction
Along with the Kruskal’s minimum spanning tree algorithm, there’s another general algorithm that solves the problem. The algorithm of Prim.
As we already know the algorithm of Kruskal works in a pretty natural and logical way. Since we’re trying to ... | HuggingFaceTB/finemath | |
# Introduction To Intervals In Music
In music theory, an interval?is the distance in pitch between two notes.
To identify an interval you will need two things: a number and a type (quality).
## List of interval (number):
• Unison ? 1st
• Second – 2nd
• Third – 3rd
• Fourth – 4th
• Fifth – 5th
• Sixth – 6th
• Seventh... | HuggingFaceTB/finemath | |
# ppt - Stochastic Systems Group
```Stochastic Systems Group
Geometry of Shape Manifolds
• Constraints define a manifold embedded in
q0 + L2
• Move along manifold by moving in tangent
space and projecting back to manifold
• Tangent space is infinite dimensional, but
normal space is characterized by three
constraints d... | HuggingFaceTB/finemath | |
# Help Calculating a interstellar Speed requirements
1. Sep 4, 2016
### ScathanApprover
Hello everyone, what a fantastic community this is. I was hoping someone here could help me calculate the speed required to reach a certain distance in a certain amount of time.
How fast will Object X be moving if it clears 28,1... | HuggingFaceTB/finemath | |
# A simple implementation of the principle of RSA encryption
Inspired by a Numberphile video I made a little program that shows the principles of RSA encryption and decryption. To calculate the keys I used the explanation in this link: rsa public private key encryption explained. Fascinating what you can do in a few l... | HuggingFaceTB/finemath | |
## Introductory Algebra for College Students (7th Edition)
$\displaystyle \frac{a}{c}$
Fundamental Principle of Fractions: The value of a fraction does not change if both the numerator and the denominator are divided (or multiplied) by the same nonzero number. So, $\displaystyle \frac{a\cdot c}{b\cdot c}=\frac{a}{c}.$ | HuggingFaceTB/finemath | |
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
# Differentiability and continuity
AP.CALC:
FUN‑2 (EU)
,
FUN‑2.A (LO)
,
FUN‑2.A.1 (EK)
,
FUN‑2.A.2... | HuggingFaceTB/finemath | |
Glossary
New Mathematics 02
UNIT 1: Integers
The absolute value of a number is the unit distance of the graph of the number from the origin on the number line.
All positive integers are greater than 0.
All negative integers are smaller than 0.
Any positive integer is greater than any negative integer.
The bigger... | HuggingFaceTB/finemath | |
# Demonstrate how different models of engineering systems using first-order differential equations can be used to solve engineering problems
Learning Outcome 1: Review models of engineering systems using ordinary differential equations
Learning Outcome 2: Formulate and solve first order differential equations related... | HuggingFaceTB/finemath | |
# Algorithms | Analysis of Algorithms (Recurrences) | Question 11
• Last Updated : 28 Jun, 2021
Consider the following recurrence:
Which one of the following is true?
(A) T(n) = (loglogn)
(B) T(n) = (logn)
(C) T(n) = (sqrt(n))
(D) T(n) = (n)
(A) A
(B) B
(C) C
(D) D
Explanation: This question can be solved by firs... | HuggingFaceTB/finemath | |
# Find an equation of the tangent plane to the given surface at the specified point: z = e^(x^2-y^2), (1,-1,1)
Asked on by stranded
sciencesolve | Teacher | (Level 3) Educator Emeritus
Posted on
You need to remember the equation of the tangent plane to a given curve, at a given point `(x_0,y_0,z_0)` such that:
`z... | HuggingFaceTB/finemath | |
(Redirected from Binary representation)
A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" ( zero) and "1" ( one).
The base-2 numeral system is a positional notation with a radix of 2. Each digit i... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
Subtract 35/4 from 56/3
1st number: 18 2/3, 2nd number: 8 3/4
56/3 - 35/4 is 119/12.
Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 3 and 4 is 12
2. For the 1st fraction, since 3 × 4 = 12,
56/3 = 56 × 4/3 × 4 = 224/12... | HuggingFaceTB/finemath | |
# Question Video: Understanding Magnetic Interactions Physics • 9th Grade
A bar magnet is hung from a thread that is attached to a stand. The magnet can pivot freely. What will happen if the north pole of a second bar magnet is brought near to the north pole of the bar magnet that is hanging from the thread? What will... | HuggingFaceTB/finemath | |
## Half-Life
Radioactive elements goes through decay at different rates. The time it takes for the element to degrade by half is called a half-life. Learn more here.
### Half-Life Learning Targets:
• Be able to define half-life
• Determine the amount of radioactive substance remaining after an amount of time (mathem... | HuggingFaceTB/finemath | |
# Notation for ends of a string
I work now a lot with strings of characters and other finite sequences and found that I need many times a good notation for "cutting the end" a string. If $a$ is a finite sequence and $a'$ is its right end, then there is a sequence $x$ such that $a = x a'$ (where the product is defined ... | HuggingFaceTB/finemath | |
# ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18
## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18
Question 1.
If A is an acute angle and sin A = $... | HuggingFaceTB/finemath | |
# Solve BVP involving user defined function [closed]
I have a second order ODE which I would like to solve numerically:
$\frac{d^2 y}{dx^2}+f(y)=0$
BCs: $y(0) = c$, $y(L)=0$
Where $c$ is a known constant and $f(y)$ is a complicated user defined function, which includes the use of FindRoot.
Naturally, this can be w... | HuggingFaceTB/finemath | |
# Calculate volume
• Nov 8th 2008, 09:07 AM
Apprentice123
Calculate volume
The volume of solid limited by: $2y^2=x$, $\frac{x}{4}+\frac{y}{2}+\frac{z}{4}=1$, $z=0$ and $y=0$
$\frac{17}{5}$
• Nov 8th 2008, 10:06 AM
Mathstud28
Quote:
Originally Posted by Apprentice123
The volume of solid limited by: $2y^2=x$, $\frac{x... | HuggingFaceTB/finemath | |
# Algebra 2
Adding 1 to which digit will increase 736,419 by ten thousand?
i think is 3...
bill has four more dimes than nickels, and seven fewer nickels than pennies.he has a total of \$3.35. how many of each kind of coin has he?
bill has four more dimes than nickels, and seven fewer nickels than pennies.he has a ... | HuggingFaceTB/finemath | |
Search
# Maximum Area of Triangle! InterviewBit Solution
### Problem Description:
Given a character matrix of size N x M in the form of a string array A of size N where A[i] denotes ith row.
Each character in the matrix consists of any one of the following three characters {'r', 'g', 'b'} where 'r' denotes red colo... | HuggingFaceTB/finemath | |
# Rolling a $6$ Sided Die
If I roll one $6$ sided die, the chances of getting one number, say $6$, is $1/6$ or $16.6\%$. If I roll $2$ dice simultaneously, then the probability of rolling that number twice is $1/36$ or $2.7\% (1/6 \times 1/6)$.
What if I have this situation: I roll a die, and if I get a $6$, then I'l... | HuggingFaceTB/finemath | |
# Number of Longest Increasing Subsequence LeetCode Solution
Here, We see Number of Longest Increasing Subsequence LeetCode Solution. This Leetcode problem is done in many programming languages like C++, Java, JavaScript, Python, etc. with different approaches.
# List of all LeetCode Solution
## Problem Statement
G... | HuggingFaceTB/finemath | |
## Some Math Notes
These are from studies ancillary to my integer factorization explorations.
Let m = 2n be an even positive integer corresponding to positive integer n, which may or may not be even.
Let s be the Ceiling Root of m, the integer ceiling of m’s square root. s squared is the Ceiling Square of m, the lea... | HuggingFaceTB/finemath | |
# day/dydd 162 at 7puzzleblog.com
T he Main Challenge
Here’s a mini-Mathelona challenge where you must place the eight digits 0 1 1 2 2 2 3 and 4 into the eight gaps so both lines work out arithmetically:
◯ + ◯ = 4 = ◯ × ◯
◯ – ◯ = 2 = ◯ ÷ ◯
Click Mathelona for details of our pocket book ... | HuggingFaceTB/finemath | |
# Eureka Math Kindergarten Module 4 Lesson 33 Answer Key
## Engage NY Eureka Math Kindergarten Module 4 Lesson 33 Answer Key
### Eureka Math Kindergarten Module 4 Lesson 33 Problem Set Answer Key
Fill in the number sentence to match the story.
Question 1.
There were 7 trains. 2 trains rolled away. Now there are 5 t... | HuggingFaceTB/finemath | |
# When to Use aov() vs. anova() in R
One of the fundamental tasks in statistical analysis is understanding the differences between groups. ANOVA (Analysis of Variance) is a robust statistical technique that seeks to compare the means of different groups to determine if there’s a significant difference. In R, two commo... | HuggingFaceTB/finemath | |
5.8k views
The probabilities that a student passes in mathematics, physics and chemistry are $m,p$ and $c$ respectively. Of these subjects, the student has $75\%$ chance of passing in at least one, a $50\%$ chance of passing in at least two and a $40\%$ chance of passing in exactly two. Following relations are drawn i... | HuggingFaceTB/finemath | |
# Transformation Matrix
#### Petrus
##### Well-known member
T is a surjective linear transformation $$\displaystyle T: \mathbb{R^4}-> \mathbb{R^2}$$. Decide dim ker T. How many free variables do I get if I solve equation system $$\displaystyle T(x)=y$$ for a vector $$\displaystyle y \in \mathbb{R^2}$$? Construct a tr... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 19 Oct 2019, 20:14
### 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.
Customize... | HuggingFaceTB/finemath | |
# Reverse geometric progression algorithm
25 ビュー (過去 30 日間)
John F 2021 年 2 月 20 日
I would like to have a set of points from -b to b using a geometric progression from dpB / 2 to b and mirroring the points with respect to 0. However, I want the grid to be "denser" closer to b, meaning that the gap between 2 points go... | HuggingFaceTB/finemath | |
Maximum Kinetic Energy
makeAwish
Homework Statement
A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P11.45. The rod is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through the point P, and is released from rest in the horizontal p... | HuggingFaceTB/finemath | |
### 3.401 $$\int \frac{e^{3 \coth ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx$$
Optimal. Leaf size=138 $-\frac{16 \left (a+\frac{1}{x}\right )}{5 a^2 c^2 \left (1-\frac{1}{a^2 x^2}\right )^{5/2}}-\frac{4 \left (5 a+\frac{11}{x}\right )}{15 a^2 c^2 \left (1-\frac{1}{a^2 x^2}\right )^{3/2}}-\frac{75 a+\frac{103}{x}}{15 a^2 ... | HuggingFaceTB/finemath | |
# Monday, April 13, 2009
We had a busy day today . . . we started by our day reading Amazing Grace from Mary Hoffman. Later we wrote an on-demand response to text based on this great story! The class worked SOooo hard writing their essays and showing their best writing and thinking skills. BRAVO!!
In reading we ar... | HuggingFaceTB/finemath | |
# Tension in a massless string being pulled at its ends with unequal forces
There is a question in my textbook. If a massless inextensible string is pulled on with a force of $$10 N$$, at both ends, what is the tension in the string?
It’s a very common question. The answer is $$10 N$$, cf. e.g. this & this Phys.SE po... | HuggingFaceTB/finemath | |
# calculus5
(y^2+2)^3=x^4y+e^2 find dy/dx using differentiating implicity
1. 👍 0
2. 👎 0
3. 👁 104
1. Damon and I have done some of them for you.
Now you try some of the others.
These are rather straightforward questions, and you should not expect us just to do the work for you.
1. 👍 0
2. 👎 0
posted by Reiny
2. I... | HuggingFaceTB/finemath | |
## College Algebra (10th Edition)
The 3rd term is $\binom{7}{2}(-3)^2x^5=21\times 9 x^5=189x^5$
By using the binomial theorem we can expand the algebraic expression in the form of: $(x+b)^n=\binom{n}{0}b^0x^n+\binom{n}{1}b^1x^{n-1}+...+\binom{n}{n-i}b^{n-i}x^{i}+...+\binom{n}{n-1}b^{n-1}x^1+\binom{n}{n}b^nx^0$ We expa... | HuggingFaceTB/finemath | |
Problem (credit: Muthu Veerappan): How many cards on average should we take (without replacement) from a shuffled pack of cards to get an Ace?
Solution: From symmetry, we see that the four aces divide the rest of the $48$ cards into $5$ equal groups of $9.6$ cards each. Therefore, we need to take $9.6$ cards on averag... | HuggingFaceTB/finemath | |
# Find subsequence of maximal length simultaneously satisfying two ordering constraints
We are given a set $F=\{f_1, f_2, f_3, …, f_N\}$ of $N$ Fruits. Each Fruit has price $P_i$ and vitamin content $V_i$; we associated fruit $f_i$ with the ordered pair $(P_i, V_i)$. Now we have to arrange these fruits in such a way t... | HuggingFaceTB/finemath | |
# What is dimensional chain
Nov 6, 2021
## Basic Concept Of Dimensional Chain
There are two characteristics of the dimensional chain: closedness-each size of the dimensional chain constitutes a closed system in a certain order; correlation-one of the size changes will affect other size changes.
Basic Concept Of Di... | HuggingFaceTB/finemath | |
# MATH
Marco paints a wall and charges \$20 as set up fee. He charges at least \$60 per big wall and he for small walls he charges no more than \$40 per wall.He has just completed painting either all big walls or small walls.
His invoice states that he received \$2420 in payment.How many walls could he have painted?
... | HuggingFaceTB/finemath | |
# Rotational Motion
November 6, 2017 | Author: monikakati | Category: Rotation Around A Fixed Axis, Angular Momentum, Friction, Mass, Theoretical Physics
#### Description
LECTURE BASED PROBLEM SHEET TOPICS: ROTIONAL MOTION Q.1
A sphere rolls down an inclined plane of inclination.. What is the acceleration as the s... | HuggingFaceTB/finemath | |
# Assignment 7 – AI
due at 23:59 on +50
In this assignment, you will use a search strategy to solve a puzzle. First, let’s describe the puzzle.
Six frogs are trying to cross a pond by jumping between stones. Alma, Ben, and Carl are heading East; while Xavier, Yolanda, and Zora are heading West. Their initial posit... | HuggingFaceTB/finemath | |
# Talk:1132: Frequentists vs. Bayesians
(Difference between revisions)
Jump to: navigation, search
Note: taking that bet would be a mistake. If the Bayesian is right, you're out \$50. If he's wrong, everyone is about to die and you'll never get to spend the winnings. Of course, this meta-analysis is itself a type of ... | HuggingFaceTB/finemath | |
# Differences
This shows you the differences between two versions of the page.
groupoids [2010/08/20 10:25]
jipsen
groupoids [2016/11/28 19:02] (current)
jipsen
Line 1: Line 1:
=====Groupoids===== =====Groupoids=====
-Abbreviation: **BinOp**+Abbreviation: **Grpd**
====Definition==== ====Definition====
-A \emph{groupo... | HuggingFaceTB/finemath | |
For the four circles
Question:
For the four circles $\mathrm{M}, \mathrm{N}, \mathrm{O}$ and $\mathrm{P}$, following four equations are given :
Circle $M: x^{2}+y^{2}=1$
Circle $\mathrm{N}: \mathrm{x}^{2}+\mathrm{y}^{2}-2 \mathrm{x}=0$
Circle $\mathrm{O}: \mathrm{x}^{2}+\mathrm{y}^{2}-2 \mathrm{x}-2 \mathrm{y}+1=0$... | HuggingFaceTB/finemath | |
MultiZeta - Maple Help
MultiZeta
the multiple zeta function
Calling Sequence MultiZeta(${m}_{1},{m}_{2},...,{m}_{n})$
Parameters
${m}_{1},{m}_{2},...,{m}_{n}$ - positive integers
Description
MultiZeta is an implementation of multiple zeta values, also known as the generalized Euler sums over
The sum converge... | HuggingFaceTB/finemath | |
+0
# the diameter is 6 inches btw
0
196
2
Find the circumference of the pizza. Round your answer to the nearest tenth.
Mar 2, 2021
#1
+1
Circumference of a round pizza = pi * d
this pizza circumference = 6 pi inches ( or is that 6 'pie' ? Haha)
= 18.85 in
Mar 2, 2021
#2
+2
The pizza circumference ... | HuggingFaceTB/finemath | |
# 10.7: Rounding Errors
$$\newcommand{\vecs}{\overset { \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{rang... | HuggingFaceTB/finemath | |
+0
# What's wrong with this formula?
+1
309
5
Hello me and my friend have been trying to figure out whay is wrong with my ciricle formula. When completing a check to see if the formula is correct we get the wrong answer even though we should be edning up with the correct answer. It goes like this:
(the math done he... | HuggingFaceTB/finemath | |
### Complete the a.p series with given information - class-XI
Description: complete the a.p series with given information Number of Questions: 75 Created by: Tags: sequences and series progressions sequence, progression and series binomial theorem, sequence and series maths arithmetic progressions
Attempted 0/75 Corr... | open-web-math/open-web-math | |
# Why does this innovative method of subtraction from a third grader always work?
My daughter is in year $$3$$ and she is now working on subtraction up to $$1000.$$ She came up with a way of solving her simple sums that we (her parents) and her teachers can't understand.
Here is an example: $$61-17$$
Instead of borr... | open-web-math/open-web-math | |
# Remainder & Factor Theorems
The flashcards below were created by user Gymnastxoxo17 on FreezingBlue Flashcards.
1. remainder theorem
if f(x) is divided by a factor, the remainder of doing this will be the zero of that factor plugged into the function and solved for
2. factor theorem
• if something is a factor of a ... | HuggingFaceTB/finemath | |
## 19680
19,680 (nineteen thousand six hundred eighty) is an even five-digits composite number following 19679 and preceding 19681. In scientific notation, it is written as 1.968 × 104. The sum of its digits is 24. It has a total of 8 prime factors and 48 positive divisors. There are 5,120 positive integers (up to 196... | HuggingFaceTB/finemath | |
Even though lots of people nowadays advocate for applying functional programming principles to JavaScript, not many of them know the principles of Lambda Calculus and how it all started.
Theory of computability itself deserves not only blog posts about it, but whole books, so I’ll try to cover that separately in the f... | HuggingFaceTB/finemath | |
# United Monoids
In this blog post we will explore the consequences of postulating 0 = 1 in an algebraic structure with two binary operations (S, +, 0) and (S, ⋅, 1). Such united monoids have a few interesting properties, which are not immediately obvious. For example, we will see that the axiom 0 = 1 is equivalent to... | HuggingFaceTB/finemath | |
Question 45
# For all possible integers n satisfying $$2.25\leq2+2^{n+2}\leq202$$, then the number of integer values of $$3+3^{n+1}$$ is:
Solution
$$2.25\leq2+2^{n+2}\leq202$$
$$2.25-2\le2+2^{n+2}-2\le202-2$$
$$0.25\le2^{n+2}\le200$$
$$\log_20.25\le n+2\le\log_2200$$
$$-2\le n+2\le7.xx$$
$$-4\le n\le7.xx-2$$
$... | HuggingFaceTB/finemath | |
## Introduction
Solid oxide fuel cells (SOFCs) convert chemical energy to electrical energy with high efficiencies >ca. 60%, and allow for wide fuel flexibility due to their operation at high temperatures (600–800 °C)1,2. For decades, advances in SOFC technology have focused on developing new materials, such as ceria-... | open-web-math/open-web-math | |
# Constraints
## 12 February 2010
### STOC 2010
Filed under: Commentary — András Salamon @ 1:26
Tags: ,
A quick tour of constraints-related papers, this time from STOC 2010. Some of these have been floating around online for a few months, and STOC does not necessarily publish the most important papers. But an inter... | open-web-math/open-web-math | |
Thus from the relation we can say maximum height of the projectile motion depends on velocity of the projectile. If the velocity is now doubled i.e V2 = 2V1 the Kinetic energy becomes (KE)2 = 1/2M(2V1)²...(2) Note that the mass doesn't change. Let us paint you a picture. Your IP: 149.202.93.143 In other words, the fast... | HuggingFaceTB/finemath | |
Need Help Analyzing Circuits - Power absorbed, Capacitor energy
Zachary Hall
Joined May 9, 2016
4
Hi I'm relatively new to the forum, but definitely have been learning a lot on here, awesome community and site. Anyways I'm doing some end of the semester tests for my electrical circuits class and am pretty lost (im a ... | HuggingFaceTB/finemath | |
Subscribe to our Youtube Channel - https://you.tube/teachoo
1. Chapter 3 Class 11 Trigonometric Functions
2. Serial order wise
3. Ex 3.4
Transcript
Ex 3.4, 3 Find the principal and general solutions of the equation cot x = –√3 Given cot x = −√3 tan x = 1/cot𝑥 tan x = 1/(−√3) tan x = (−1)/√3 We know that tan 30... | HuggingFaceTB/finemath |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.