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1. ## Turning Points
Sketch this curve on a graph
$\displaystyle y=4x^2-x^3$
I differentiated and got
$\displaystyle \frac{dy}{dx}=8x-3x^2$
At TP dy by dx = o
So $\displaystyle 8x-3x^2=0$
Now where do I go?
2. Originally Posted by Ryannnn
Sketch this curve on a graph
$\displaystyle y=4x^2-x^3$
I differentiate... | HuggingFaceTB/finemath | |
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Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submiss... | HuggingFaceTB/finemath | |
# Convert 38 cm to inches
## What is the number of inches in a cm?
When you wish to convert 38 centimeters to an inch-length number, first you need to know how many inches 1 centimeter represents.
Here I can be specific: one centimeter is equal to 0.3937 inches.
## Implication of centimeter
A centimeter is a commo... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Multiplication & division similar to A Shapely Network:
Filter by: Content type:
Stage:
Challenge level:
### There are 163 results
Broad Topics > Calculations and Numerical Methods > Multiplication & division
### X Is 5 Squares
##### Stage: 2 Challenge Level:
Can you ... | HuggingFaceTB/finemath | |
# The missing number in the place of the symbol "?" as shown in the third figure of the following is:
Free Practice With Testbook Mock Tests
## Options:
1. 155
2. 165
3. 175
4. 185
### Correct Answer: Option 2 (Solution Below)
This question was previously asked in
AP Police Constable Prelims Previous paper 2 (... | HuggingFaceTB/finemath | |
# Week 1 HW and Presentation Questions
Week 1 HW:
1. McElreath’s HW 1
2. Rethinking 2M3: Suppose there are two globes, one for Earth and one for Mars. The Earth globe is 70% covered in water. The Mars globe is 100% land. Further suppose that one of these globes—you don’t know which—was tossed in the air and produced ... | HuggingFaceTB/finemath | |
The Physics
Hypertextbook
Opus in profectus
# Dynamics
## Practice
### practice problem 1
A person stands in an elevator weighing a cheeseburger with a kitchen scale. (It could happen.) The mass of the cheeseburger is 0.150 kg. The scale reads 1.14 N.
1. Draw a free body diagram showing all the forces acting on the... | HuggingFaceTB/finemath | |
Fsc Part 1 Mathematics (Complete Solution)
# Q13 Solve the following equations by completing the square
x2 - x - 1806 = 0
x2 - x = 1806
x2- 2(
1 2
)x = 1806
1 2
)2 to both sides
x2- 2(
1 2
)x + (
1 2
)2= 1806 + (
1 2
)2
(x -
1 2
)2= 1806 +
1 4
(x -
1 2
)2=
4(1806) + 1 4
(x -
1 2
)2=
7225 4
(x -
1 2
)2= (±... | HuggingFaceTB/finemath | |
in
How Many Eggs Will 300 Ducks Lay In 300 Days?
How many eggs will 300 ducks lay in 300 days?
A
N
S
W
E
R
From the given information we can say that each duck takes 3 days to lay an egg.
So Each duck will lay 100 eggs in 300 days.
So 300 ducks will lay 300 x 100 = 30000 eggs
=====
A
N
S
W
E | HuggingFaceTB/finemath | |
# MEI C3 COURSEWORK ERROR BOUNDS
The method is illustrated graphically for one root. Error bounds are stated and the method is illustrated graphically. Hello, I am doing this coursework and I am a little bit unsure about how to state my error for decimal search. There is an illustrated explanation why this has happene... | HuggingFaceTB/finemath | |
# Fields- a couple of questions
1. Feb 2, 2005
### Palindrom
First the easy one (I think):
Show that x4-22x3+1 is irreducable (is that how it's spelled?) over Q.
Now the one that's giving me a headache:
Suppose E/F, when [E:F]=2, and char(E)>2. Prove that there exists u in E, s.t. E=F(u), when u is a root of p(x)... | HuggingFaceTB/finemath | |
# NCERT Exemplar Class 11 Physics Chapter 3 Motion in a Plane
Multiple Choice Questions
Sol: (b)
Key concept: Scalar Product of Two Vectors:
(1) Definition : The scalar product (or dot product) of two vectors is defined as the product of the magnitude of two vectors with cosine of angle between them.
Q2. Which one o... | HuggingFaceTB/finemath | |
# help with understanding the solution(time speed and distance)
Ravi who lives in countryside , caught a train for home earlier than usual yesterday. His wife normally drives to station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reachd home $12$ minutes earlier than ... | HuggingFaceTB/finemath | |
# Question Video: Using Proportions to Find Unknowns Mathematics • 7th Grade
If 𝑎/7 = 𝑏/4 = 𝑐/14 = (6𝑎 − 7𝑏 + 2𝑐)/3𝑥, find the value of 𝑥.
04:19
### Video Transcript
If 𝑎 over seven equals 𝑏 over four equals 𝑐 over 14, which equals six 𝑎 minus seven 𝑏 plus two 𝑐 over three 𝑥, find the value of 𝑥.
T... | HuggingFaceTB/finemath | |
# Homework Help: Rayleigh-Ritz Approximation (Obtaining the constants)
1. Sep 18, 2011
### roldy
1. The problem statement, all variables and given/known data
Consider the differential equation
$$-\frac{d^2u}{dx^2}=cos\pi x$$ for 0<x<1
subject to the boundary condition
u(0)=0, u(1)=0
Determine a three-parameter s... | HuggingFaceTB/finemath | |
# Gasoline tank 2
A gasoline tank is 1/6 full. When 25 liters of gasoline were added, it became 3/4 full. How many liters more is needed to fill it? Show your solution.
Result
x = 10.714 l
#### Solution:
V/6 + 25 = 3/4 V
x = V - 3/4 V
7V = 300
V-4x = 0
V = 3007 ≈ 42.857143
x = 757 ≈ 10.714286
Calculated by our... | HuggingFaceTB/finemath | |
News Category
# Advantages of transformer's parallel operation
1. the advantages of parallel operation
The two or more than two transformers, respectively, the secondary side were connected to their respective public bus, while the load power supply. The company is located in:
Advantages:
(1) improve operational effi... | HuggingFaceTB/finemath | |
# Questions on logic behind “proof by contradiction”
I'm trying to understand the logic behind "proof by contradiction" and hoping that I can clear up a few things in this post.
First of all, suppose I have a proposition $P$ and from this I can imply some statement $Q$, i.e. $P\Rightarrow Q$, then to prove this by co... | open-web-math/open-web-math | |
Source: Official Guide for GMAT Review 2016 Data Sufficiency ; #15
3
# Three houses are being sold through a
Three houses are being sold through a real estate agent. What is the asking price for the house with the second-largest asking price?
### 1 Explanation
1
John Robertson
Given:
Mike draws quick diagrams us... | HuggingFaceTB/finemath | |
# You asked: What is the difference between linear and nonlinear transformation?
Contents
## How do you know if something is linear or nonlinear?
Using a Graph
Determine whether the line is straight or curved. If the line is straight, the equation is linear. If it is curved, it is a nonlinear equation.
## What def... | HuggingFaceTB/finemath | |
English | Español
# Try our Free Online Math Solver! Online Math Solver
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to solve: 23456789
Ineq. #1... | HuggingFaceTB/finemath | |
# Primary mathematics/Proportions
Ratios are similar to fractions. $x:y={\frac {x}{x+y}}$ . Remember, The proportion x:y does not equal the fraction ${\frac {x}{y}}$ .
For example, if the ratio of boys to girls in a classroom is 1:2, that does not mean half of the class is boys and the other half is girls. It means th... | HuggingFaceTB/finemath | |
# What is the derivative of y = arcsin(x^5)?
Aug 29, 2015
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{5 {x}^{4}}{\sqrt{1 - {x}^{10}}}$
#### Explanation:
Use the derivative of $\arcsin$ and the chain rule.
$\frac{d}{\mathrm{dx}} \left(\arcsin x\right) = \frac{1}{\sqrt{1 - {x}^{2}}}$
When we don't have $x$ as the argu... | HuggingFaceTB/finemath | |
# How to Write Steps of Solving Equations?
This is a common way to write the steps during solving equations: But in GeoGebra the steps are shown this way (the highlighted part): I'm going to use GeoGebra to teach equations. Is it OK to let the students write the steps just like GeoGebra (I mean, with paranthesis)?
• ... | HuggingFaceTB/finemath | |
# How can you multiply two negative numbers?
• Dark Fire
In summary, the conversation discusses the concept of negative numbers and how they can be multiplied. It is explained that this rule was likely created to make theoretical mathematics more practical and usable. The conversation also includes a comparison to geo... | HuggingFaceTB/finemath | |
# Is this finite difference approach correct?
I am solving incompressible 2D Navier-Stokes equations with zero y-component velocity. The geometry is a simple 2D pipe of a length $L$ and diameter $W$ and there is only two boundary conditions:
1. Non-slip on the pipe walls: $u = 0$
2. Flow velocity at inlet $u = U_{max... | HuggingFaceTB/finemath | |
# MATH 18.152 COURSE NOTES - CLASS MEETING # 12
```MATH 18.152 COURSE NOTES - CLASS MEETING # 12
18.152 Introduction to PDEs, Fall 2011
Professor: Jared Speck
Class Meeting # 12: Kirchhoff’s Formula and Minkowskian Geometry
1. Kirchhoff’s Formula
We are now ready to derive Kirchhoff’s famous formula.
Theorem 1.1 (Kirc... | HuggingFaceTB/finemath | |
The note. In examples no. no. 1.004 - 1.006, 1.008 - 1.010, 1.024 where decimal periodic fractions are, it is
possible to use for their transformation in simple fractions the following method. We’ll admit the fraction 0. (263)
is given. Let's designate it through x = 0.(263), and then multiply both parts of this equali... | HuggingFaceTB/finemath | |
This site is supported by donations to The OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A019704 Decimal expansion of sqrt(Pi)/2. 5
8, 8, 6, 2, 2, 6, 9, 2, 5, 4, 5, 2, 7, 5, 8, 0, 1, 3, 6, 4, 9, 0, 8, 3, 7, 4, 1, 6, 7, 0, 5, 7, 2, 5, 9, 1, 3, 9, 8, 7, 7, 4, 7, 2, 8, 0, 6, 1,... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Compare 6/2 and 12/56
1st number: 3 0/2, 2nd number: 12/56
6/2 is greater than 12/56
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 2 and 56 is 56
Next, find the equivalent fraction of both fractional numbers w... | HuggingFaceTB/finemath | |
## Algebra: A Combined Approach (4th Edition)
$\dfrac{x^{3}-6x^{2}+9x}{x^{2}+4x-21}=\dfrac{x(x-3)}{x+7}$
$\dfrac{x^{3}-6x^{2}+9x}{x^{2}+4x-21}$ Take out common factor $x$ from the numerator and factor the denominator: $\dfrac{x^{3}-6x^{2}+9x}{x^{2}+4x-21}=\dfrac{x(x^{2}-6x+9)}{(x+7)(x-3)}=...$ Factor the parentheses i... | HuggingFaceTB/finemath | |
Global maxima and minima of $f(x,y) = xy$
I wanted to check with you if my reasoning to this problem was right.
Find the global maxima and minima of $f(x,y) = xy$ inside the set $A = \{ (x,y) \in \mathbb{R}^2: \frac{|xy|}{|xy|+1} \leq 1\}$.
Testing the boundary $\frac{|xy|}{|xy|+1} = 1$, we get that $0=1$. That woul... | HuggingFaceTB/finemath | |
## Group actions I
There is something odd about the experience of learning group theory. At first, one is told that the great virtue of groups is their abstractness: many mathematical structures, from number systems, to sets of permutations, to symmetries, to automorphisms of other algebraic structures, to invariants ... | HuggingFaceTB/finemath | |
# Lesson Plan in Math
Parts of a Circle My spouse and i. Learning Targets Cognitive: Psychomotor: Affective: Determine the elements of a ring Draw a circle and show its parts Show cooperation in group activities
II. Learning Content Skills: Referrals: Materials: Value: 1 . Identifying the areas of a group 2 . Drawing... | HuggingFaceTB/finemath | |
## Lagrangian points in circular restricted three-body problem
QUESTION:
In the circular restricted 3-body problem, if we consider motion confined to the x-y plane and adopt units such that G(m1 + m2) = 1 [m1 and m2 are the masses of the two heavy bodies], the semimajor axis of the relative orbit of the massive bodies... | HuggingFaceTB/finemath | |
# Prove any ring homomorphism between $M_2(\mathbb{R})$ and $\mathbb{R}$ is trivial
Prove any ring homomorphism between $$M_2(\mathbb{R})$$ ($$2\times 2$$ matrices) and $$\mathbb{R}$$ is trivial.
I am not looking for answers, I just want to know how to approach these types of problems (how to prove that any homomorph... | HuggingFaceTB/finemath | |
# U10d1-64 – course reflection – see details attached
In Unit 10, we will apply our understanding of the one-way ANOVA to the SPSS data set.
Proper Reporting of the One-Way ANOVA
Reporting a one-way ANOVA in proper APA style requires an understanding of several elements. To provide
context for the F test, provide a... | HuggingFaceTB/finemath | |
# Calc
posted by .
Find the cartesian coordinates of the following points given in polar coordinates.
b. (2 rt2, 3pi/4)
I cant figure this one out
• Calc -
I don't know what they call the radius 2 rt2.
Whatever the polar-coordinate radius is, multiply it by cos 3pi/4 to get x and sin 3pi/4 to get y.
cos 3pi/4 = ... | HuggingFaceTB/finemath | |
Enter the slope of a line, constant b, and either the x or y coordinate at the endpoint. The endpoint calculator will display the missing coordinate value for the endpoint.
## Endpoint Formula
The following formula is used to calculate an endpoint of a line.
Y = kx+b
• Where X and Y are coordinate points
• X is the... | HuggingFaceTB/finemath | |
{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "So far we've been looking into the problem where we have single categorical/numerical, relationship between categorical-numerical or categorical-categorical. In this blog, we're going to discuss about two numerical variables. We have a correlation tes... | HuggingFaceTB/finemath | |
Algebra Tutorials! Home Solving Quadratic Equations by Completing the Square Graphing Logarithmic Functions Division Property of Exponents Adding and Subtracting Rational Expressions With Like Denominators Rationalizing the Denominator Multiplying Special Polynomials Functions Solving Linear Systems of Equations by Eli... | HuggingFaceTB/finemath | |
# Theory of Computation – Eliminating unit productions from the productions in the Context Free Grammar
«
»
A unit production is a production A -> B where both A and B are non-terminals. Unit productions are redundant and hence should be removed. Follow the following steps to remove the unit production
Repeat the fol... | HuggingFaceTB/finemath | |
## 1298
1,298 (one thousand two hundred ninety-eight) is an even four-digits composite number following 1297 and preceding 1299. In scientific notation, it is written as 1.298 × 103. The sum of its digits is 20. It has a total of 3 prime factors and 8 positive divisors. There are 580 positive integers (up to 1298) tha... | HuggingFaceTB/finemath | |
Describing motion along a line
This free course is available to start right now. Review the full course description and key learning outcomes and create an account and enrol if you want a free statement of participation.
Free course
# 4.2 Instantaneous acceleration
The procedure of Question 15 for determining the i... | HuggingFaceTB/finemath | |
80.55 kg to lbs - 80.55 kilograms to pounds
Do you need to know how much is 80.55 kg equal to lbs and how to convert 80.55 kg to lbs? Here it is. This whole article is dedicated to kilogram to pound conversion - theoretical and also practical. It is also needed/We also want to highlight that all this article is devote... | HuggingFaceTB/finemath | |
## 50768
50,768 (fifty thousand seven hundred sixty-eight) is an even five-digits composite number following 50767 and preceding 50769. In scientific notation, it is written as 5.0768 × 104. The sum of its digits is 26. It has a total of 6 prime factors and 20 positive divisors. There are 23,904 positive integers (up ... | HuggingFaceTB/finemath | |
# Physics - Electromagnetism - Electric field energy and density
in #physics6 years ago
Source
## Introduction
Hello it's a me again Drifter Programming!
Today we continue with Electromagnetism to get into other ways of calculating Electric field energy, now that we covered Capacitance, and we will also get into E... | HuggingFaceTB/finemath | |
If you have or had troubles understanding breath or depth first search, you’ve come to the right place. Here it is – recursive graph search made easy.
### Depth-First Search
Depth-first search (DFS) is a method for exploring a graph. In a DFS, you follow the child of traversing node, meaning if the current node has a... | HuggingFaceTB/finemath | |
What does Dalton's law of partial pressure mean?
Aug 15, 2016
It means we can solve problems like this one.
Explanation:
And in a gaseous mixture, the partial pressure exerted by a component gas is the same as the pressure it would exert if that component ALONE had occupied the container. The total pressure is the ... | HuggingFaceTB/finemath | |
# 214600 (number)
214,600 (two hundred fourteen thousand six hundred) is an even six-digits composite number following 214599 and preceding 214601. In scientific notation, it is written as 2.146 × 105. The sum of its digits is 13. It has a total of 7 prime factors and 48 positive divisors. There are 80,640 positive in... | HuggingFaceTB/finemath | |
# Model Scenarios
1634 Words 7 Pages
Model Scenario
During recess on a sunny August afternoon, I noticed several of my students gathered together on the sidewalk. I walked over to see what the fascination was about, and found that one of the students had several types of magnets and other materials. The students appea... | HuggingFaceTB/finemath | |
Chapter 5: Introduction to Bayesian Statistics
Prepared by David Kirkby for the 11-Feb-2016 Study Group
In [1]:
%pylab inline
Populating the interactive namespace from numpy and matplotlib
Common Ground
Bayes' Theorem is a non-controversial principle / axiom of probability theory:
$$p(B\,|\, A) = \frac{ p... | HuggingFaceTB/finemath | |
Question #a4806
May 18, 2016
$\frac{\left[N {O}_{3}^{-}\right]}{\left[N {H}_{4}^{+}\right]} = 1.17 \times {10}^{- 27}$
Explanation:
This is a mis - leading question as the -ve ${E}_{c e l l}^{\circ}$ value tells us that the reaction cannot happen as written left to right under standard conditions.
For a reaction t... | HuggingFaceTB/finemath | |
# Internal Rate of Return – IRR
IRR.
### Overview
This is an extract from our pre-course videos for our renewable energy and infrastructure project finance modeling course.
### Video
Video Transcript
In the prior lesson we learned that an investment is worthwhile as long as the net present value is zero, or great... | HuggingFaceTB/finemath | |
0
# What is 8 divided by 2 and 4 9ths?
Wiki User
2012-04-10 19:57:53
I would change 2 and 4/9 to improper fraction.
(9*2+4)/9 = 22/9
8 divided by 22/9
same as
8 * 9/22
= reduces to 36/11
=====================
Wiki User
2012-04-10 19:57:53
Study guides
20 cards
➡️
See all cards
3.81
2278 Reviews | HuggingFaceTB/finemath | |
GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 18 Feb 2020, 05:11 ### 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 Pre... | HuggingFaceTB/finemath | |
# Write a the inverse and b the contrapositive of each conditional statement
High School Statutory Authority: Algebra I, Adopted One Credit. Examples[ edit ] Take the statement "All red objects have color. The inverse is "If an object is not red, then it does not have color. Therefore, in this case the inverse is fals... | HuggingFaceTB/finemath | |
# Which of the following is an example of a balanced force applied on an object?
## Which of the following is an example of a balanced force applied on an object?
Friction is a force that acts in a direction opposite to motion. Many objects around you have only balanced forces acting on them. For example, a light han... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from meters per second to miles per hour is 2.2369362920544, which means that 1 meter per second is equal to 2.2369362920544 miles per hour:
1 m/s = 2.2369362920544 mph
To convert 270.8 meters per second into miles per hour we have to multiply 270.8 by the conversion facto... | HuggingFaceTB/finemath | |
# Conformal mappings and its singularity
I have a question about singularities of conformal mappings.
Let $$\mathbb{H} \subset \mathbb{C} \cong \mathbb{R}^2$$ be the upper half-place and let $$D$$ be a Jordan domain. Let $$\varphi:\mathbb{H} \to D$$ denote a conformal map.
I am concerned with the following quantity:... | open-web-math/open-web-math | |
## Discussion Forum
### Daily Magic Spell Discussion - February 8, 2017
For today, we will discuss the problem given on February 8, 2017:
Problem: Find the number of quadruples $(a, b, c, d)$ of integers satisfying $a + b + c + d = 100, \ a \geq 23, b > 18, c \geq 11, d \geq 1.$
Solution: Put $a' = a-22, b' = b - 1... | HuggingFaceTB/finemath | |
How long is too long?
Even though the Earth is round, a ten foot 2x4 can lay on the ground flat because of the massive size difference between the two (20,925,656.17ft to 10.00ft by my calculations).
My question is: How long does a 2x4 have to be (given that there is no deformation of the 2x4 due to gravity or termit... | HuggingFaceTB/finemath | |
# Force to keep photon in circular motion
• quietrain
In summary, the conversation discusses the calculation of the force needed to keep a proton moving in a circle with a 1.0 km radius, with an energy of 2.5 × 10−10 J. The attempt at finding the force involves determining the proton's speed and using the formula f = ... | HuggingFaceTB/finemath | |
# A card game with no decisions
A friend showed me a mindless card game he plays, in which the initial state of the deck completely determines whether he wins or loses. The game is played as follows:
1. Shuffle a standard $52$ card deck
2. Lay the top $8$ cards face up
3. If any two cards show the same value, lay on ... | HuggingFaceTB/finemath | |
# How Many Milligrams in an Ounce of Gold?
Gold is a precious metal that has been used for various purposes throughout history. It is a popular investment option due to its value, stability, and rarity. However, understanding the weight and measurement of gold is crucial when it comes to buying, selling, and investing... | HuggingFaceTB/finemath | |
Algebra 1: Common Core (15th Edition)
The exponential formula is y=a(b$)^{x}$.A is the initial amount and B is the growth/decay factor. Therefore, the decay factor of y=17 $\times$ $0.2^{x}$ is 0.2 because it is the value of B. | HuggingFaceTB/finemath | |
# Let f(x)=lim_(n to oo) ((2 sin x)^(2n))/(3^(n)-(2 cos x)^(2n)), n in Z. Then
Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
Updated On: 29-1-2020
Apne doubts clear karein ab Whatsapp par bhi. Try it now.
Get Answer to any question, just click a photo and upload... | HuggingFaceTB/finemath | |
# Using exactly four 3's and any math symbol, try to write an equivilent expression for each whole...
## Question:
Using exactly four 3's and any math symbol, try to write an equivilent expression for each whole number from 1 through 10.
Example: {eq}1 = \frac {\frac {3*3}{3}}{3} {/eq}.
## Forming an Expression for... | HuggingFaceTB/finemath | |
# Cent to Pole Conversion
## 1 Cent is equal to how many Pole?
### 0.04 Pole
##### Reference This Converter: Cent and Pole both are the Land measurement unit. Compare values between unit Cent with other Land measurement units. You can also calculate other Land conversion units that are available on the select box, h... | HuggingFaceTB/finemath | |
# Is there a way to calculate the area of this intersection of four disks without using an integral?
Is there anyway to calculate this area without using integral ?
-
What have you tried? Also, it may be more difficult calculating the area using integral. – Quang Hoang Jul 26 '14 at 3:47
It's easy to use integral to... | open-web-math/open-web-math | |
1534300 (number)
1,534,300 (one million five hundred thirty-four thousand three hundred) is an even seven-digits composite number following 1534299 and preceding 1534301. In scientific notation, it is written as 1.5343 × 106. The sum of its digits is 16. It has a total of 6 prime factors and 36 positive divisors. Ther... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discove... | HuggingFaceTB/finemath | |
# If the sum of first four terms of an A.P. is 40 and that of first 14 terms is 280. Find the sum of its first n terms.
Given:
The sum of first four terms of an A.P. is 40 and that of first 14 terms is 280.
To do:
We have to find the sum of its first $n$ terms.
Solution:
Let the first term be $a$ and the common d... | HuggingFaceTB/finemath | |
# Curvature and Refraction
## Curvature of the earth:
The earth appears to “fall away” with distance. The curved shape of the earth means that the level surface through the telescope will depart from the horizontal plane through the telescope as the line of sight proceeds to the horizon.
This effect makes actual lev... | HuggingFaceTB/finemath | |
# Show property of condition number
The condition number $\kappa(A)$ of a matrix $A$ is defined as $\kappa(A) = \| A \| \cdot \| A^{-1} \|$,
where $\left\|A\right\|=\max_{x\neq 0}\frac{\left\|Ax\right\|}{\left\|x\right\|}=\max_{\left\|x\right\|=1}\left\|Ax\right\|$.
I want to show for a non-zero scalar $c$ that
$\k... | HuggingFaceTB/finemath | |
Instructions
Answer the questions based on the following information. A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged.Although, the total sales value remained the same, i.e. Rs. 1,... | HuggingFaceTB/finemath | |
# Unit 1 Review Part 1 3 combined Handout KEY.notebook. September 26, 2013
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## Transcription
1 Math 10c Unit 1 Factors, Powers and Radicals Key Concepts 1.1 Determine the prime facto... | HuggingFaceTB/finemath | |
+0
# need help
0
147
1
Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.
Dec 30, 2022
#1
+1624
+2
(4x - 7y)^n.
n cannot be 2, because you will get an xy term, and x^2 term, and a y^2 term with coefficients.
From binomial theorem logic, you can see that cx^a*y... | HuggingFaceTB/finemath | |
Home > Grade 4 > Benchmark Fractions
# Benchmark Fractions
Directions: Use the digits 1 to 9, no more than once, to create three fractions that are as close to zero, one half and one as possible. NOTE: Close as possible is measured by adding up all the differences and making it the least possible value. ### Hint
Wh... | HuggingFaceTB/finemath | |
## 2553734
2,553,734 (two million five hundred fifty-three thousand seven hundred thirty-four) is an even seven-digits composite number following 2553733 and preceding 2553735. In scientific notation, it is written as 2.553734 × 106. The sum of its digits is 29. It has a total of 2 prime factors and 4 positive divisor... | HuggingFaceTB/finemath | |
# Linear transformations
• oomba
## Homework Statement
T:$${R^3 \rightarrow {R^2}$$ given by $$T(v_1,v_2,v_3) = (v_3 -v_1, v_3 - v_2)$$
If linear, specify the range of T and kernel T
The attempt at a solution
Okay, I went ahead and tried to find the kernel of T like here:
\begin{align*}&v_3 - v_1 = 0\\ &v_3 - v_2 ... | HuggingFaceTB/finemath | |
# Quiz on word problem fractions for children.
Word problems involving fractions can be challenging for students, as they require not only a strong understanding of fractions but also the ability to translate word problems into mathematical equations. Here are some tips and strategies to help students solve word probl... | HuggingFaceTB/finemath | |
mersenneforum.org x^y*y^x+-1 (Generalized HyperCulllen/Woodall) primes
Register FAQ Search Today's Posts Mark Forums Read 2020-12-20, 09:14 #1 sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 22·7·112 Posts x^y*y^x+-1 (Generalized HyperCulllen/Woodall) primes Are there any test limit of y, for x=6 (6^y... | HuggingFaceTB/finemath | |
A Non-Radiating, Accelerating Charge G.R.Dixon, 1/17/04 As specified in a previous article, the relativistically correct equation of motion for a tiny spherical shell of charge is: (1) . Presumably no radiation is emitted when . (2) One obvious solution to Eq. 2 is: , (3a) . (3b) A second solution can be computed by im... | HuggingFaceTB/finemath | |
Lesson 3
Representing Exponential Growth
Lesson Narrative
In this lesson, students study a situation characterized by exponential change and learn the term growth factor. They represent this relationship using a table, an expression, and a graph. They also explain the meaning of the numbers $$a$$ and $$b$$ in an exp... | HuggingFaceTB/finemath | |
Test Curve Calculator
Calculations for Curving Test Scores Made Easy
Updated
This page is intended to help teachers curve tests. Normally, I am not a fan of "grading on the curve" but we all know there are times when it is called for.
If you are not curving a test, put 0 into the bottom box (the one for the number of... | HuggingFaceTB/finemath | |
# How can I calculate the limit without using the L'Hopital's rule
I need to prove this limit without using the L'Hopital's rule:
$$\lim_{x\to 0} \frac{(1+a\,x)^{1/4} - (1+b\,x)^{1/4}}{x} = \frac{a-b}{4}$$
How can I do it in Mathematica?
-
I have decided not to close this question or migrate, because it has a sensi... | open-web-math/open-web-math | |
## A storage box in the garage is 3 feet tall, 4 feet long and has a volume of 9 cubic feet. How many square feet is the area of the base of th
Question
A storage box in the garage is 3 feet tall, 4 feet long and has a volume of 9 cubic feet. How many square feet is the area of the base of the box?
in progress 0
6... | HuggingFaceTB/finemath | |
Matrices And Determinants Iit Jee Questions Pdf
By Rob B.
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24.03.2021 at 19:00
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One of our mentor will revert to you within 48 hours. Meanwhile you can Enjoy the Free Study Material.
JEE Advanced Matrix and Dete... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Factors and multiples similar to Double Time:
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### There are 43 results
Broad Topics > Numbers and the Number System > Factors and multiples
### The Public Key
##### Stage: 5 Challenge Level:
Find 180 to the power 59 (mo... | HuggingFaceTB/finemath | |
# 248 imperial cups in UK tablespoons
## Conversion
248 imperial cups is equivalent to 4697.62633333333 UK tablespoons.[1]
## Conversion formula How to convert 248 imperial cups to UK tablespoons?
We know (by definition) that: $1\mathrm{brcup}\approx 18.9420416666667\mathrm{brtablespoon}$
We can set up a proportio... | HuggingFaceTB/finemath | |
# A rookie question for integrals of polynomial functions
$$\int x^2+3 = \frac{x^3}{3}+3x+C$$
I can get the front two part by power rule, but what is the C doing there? Wolframalpha suggested it should be a constant, but what value should it be? Sorry for asking rookie questions
Homework Helper
Gold Member
2022 Awar... | HuggingFaceTB/finemath | |
# Understanding and Applying Laplace Transform to Analyze Electrical Circuits
Engineering is one of the most significant professional studies. Engineering students have to go through a variety of different concepts. They practice hard to grab these and get the best outcome of it when equipped well with them. These ar... | HuggingFaceTB/finemath | |
# Unit vector – problems and solutions
Unit vector – problems and solutions
1. An object moves at a velocity of v = (2i − 1.5j) m/s. What is the displacement of the object after 4 seconds?
Known :
The horizontal component of the velocity (vx) = 2 m/s
The vertical component of the velocity (vy) = 1.5 m/s
Time inte... | HuggingFaceTB/finemath | |
NaturalNeighborInterpolation - Maple Help
# Online Help
###### All Products Maple MapleSim
Interpolation
NaturalNeighborInterpolation
interpolate 2-D scattered data using the natural neighbor interpolation method Calling Sequence NaturalNeighborInterpolation(xy,z) f:=NaturalNeighborInterpolation(xy,z) f(x,... | HuggingFaceTB/finemath | |
## Calculus Tutorial
#### Intro
The chain rule tells us how to take the derivative of their composition.
d/dx(f(g(x)))=f'(g(x)).g'(x)
y=(cos(x3))2
find dy/dx
#### Solution
y=(cos(x3))2
dy/dx=2cos(x3).d/dx(cosx3) chain rule
d/dx(cosx3)=-sinx3.d/dx(x3) chain rule
d/dx(x3)=3×2 power rule
dy/dx=2cosx3.(-sinx3).3×2
... | HuggingFaceTB/finemath | |
# Original Question
Disclaimer: The question motivated by the product of Hilbert spaces which arises from separate degrees of freedom which a system might contain in quantum technical system.
Examples are for instance momentum and spin of an electron.
The question is related to this one: How to create simple (tensor... | open-web-math/open-web-math | |
Explore BrainMass
# Data Indicator
Not what you're looking for? Search our solutions OR ask your own Custom question.
This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
When each student in a random sample of students from a particular university was asked t... | HuggingFaceTB/finemath | |
# Conditional Probability Part of the Series: Probability and Statistics Tutor Series
##### TMW Media ## Related videos
Probability and Statistics Tutor Series
The Probability and Statistics Tutor is a complete 14 lesson series covering all of the core topics in detail. What sets this series apart from other teaching... | HuggingFaceTB/finemath | |
# Help to solve question on Permutations and Combinations?
Ten lines are drawn parallel to the x-axis and nine lines parallel to the y-axis. Find the total number of rectangles (of all sizes) formed by these lines (excluding the axes).
Relevance
• 7 years ago
Ten lines are drawn parallel to the x-axis and nine lines... | HuggingFaceTB/finemath |
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