question
stringlengths
200
50k
answer
stringclasses
1 value
source
stringclasses
2 values
# How do you solve a kinetic energy problem? ## How do you calculate kinetic energy in physics? Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units o...
HuggingFaceTB/finemath
Question Video: Analyzing the Air in an Air Column | Nagwa Question Video: Analyzing the Air in an Air Column | Nagwa # Question Video: Analyzing the Air in an Air Column Physics • Second Year of Secondary School An air column is defined as all the air within a cuboid that has a cross-sectional area of one square met...
HuggingFaceTB/finemath
# Not a homework - just a question about simply rounding off in physics 1. Jul 4, 2007 ### Edwardo_Elric ok we had two significant figures as the least in our given so what i did was to calculate the speed of the airplane.... my result is 52.5m/s.... i round it to two significant figures which is 53m/s but our prof...
HuggingFaceTB/finemath
## Learning Objectives By the end of today's class, you should know... • What are the 3 logical operators? • How do you test multiple conditions using logical operators? • How do && and || operate when: • both test conditions evaluate to true? • both test conditions evaluate to false? • one test condition evaluates to...
HuggingFaceTB/finemath
# Thread: Need help with a question 1. ## Need help with a question The equation of the latus rectum of a parabola is given by y = -3. The axis of the parabola is x = 0, and it’s vertex is (0,0) - Find the length of the focal chord that meets the parabola at (2, -1/3) 2. ## Re: Need help with a question (Draw a di...
HuggingFaceTB/finemath
# Addendum: quantifying our flawed intuitions ## September 01, 2020 This post is an addendum to my blog post about typicality. Please consider reading that first, if you haven’t already. Here, I will try to quantify what happens when our intuitions fail us in high-dimensional spaces. Note that the practical relevanc...
open-web-math/open-web-math
# What is the law of detachment in geometry ## What is the Law of Detachment? In mathematical logic, the Law of Detachment says that if the following two statements are true: (1) If p , then q . (2) p. Then we can derive a third true statement: (3) q . ## What is law of syllogism and detachment? The law of detachme...
HuggingFaceTB/finemath
If x and y are integers and xy 0, is x - y > 0 ? : GMAT Data Sufficiency (DS) Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 20 Jan 2017, 05:29 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your pe...
HuggingFaceTB/finemath
# 8.2 Trigonometric Integrals Trigonometric functions are useful for describing periodic behavior. This section describes several techniques for finding antiderivatives of certain combinations of trigonometric functions. ## Integrals of the form $\displaystyle\int\sin^{m}x\cos^{n}x\operatorname{d}\!x$ In learning th...
HuggingFaceTB/finemath
## Basic Physics In the sixteenth and seventeenth centuries, scientists discovered the laws of the motion of material objects. These laws help scientists to explain and predict the motions of celestial bodies. ## Kepler's Three Laws of Planetary Motion Johannes Kepler formulated three laws to approximate the behavio...
HuggingFaceTB/finemath
## Derivative Patterns Read this section to learn about patterns of derivatives. Work through practice problems 1-8. Practice 1: The pattern is $\mathbf{D}\left(\mathrm{f}^{\mathrm{n}}(\mathrm{x})\right)=\mathrm{n} \mathrm{f}^{\mathrm{n}-1}(\mathrm{x}) \cdot \mathbf{D}(\mathbf{f}(\mathbf{x})) . \mathbf{D}\left(\mathr...
HuggingFaceTB/finemath
What would you like to do? # What are the factors of 91 and 63? Would you like to merge this question into it? #### already exists as an alternate of this question. Would you like to make it the primary and merge this question into it? #### exists and is an alternate of . The factors of 63 are: 1, 3, 7, 9, 21, 63...
HuggingFaceTB/finemath
# channelflow.org ### Site Tools gibson:teaching:fall-2014:iam961:hw5 # IAM 961 HW5 Problem 1: Implement Rayleigh quotient iteration and demonstrate its convergence, as follows. Develop your code with a small matrix (maybe 5 x 5) and do the final demonstration with a larger matrix (maybe 100 x 100). 1. Construct a...
HuggingFaceTB/finemath
# 8136 (number) 8,136 (eight thousand one hundred thirty-six) is an even four-digits composite number following 8135 and preceding 8137. In scientific notation, it is written as 8.136 × 103. The sum of its digits is 18. It has a total of 6 prime factors and 24 positive divisors. There are 2,688 positive integers (up t...
HuggingFaceTB/finemath
# Buy minimum items without change and given coins You have an unlimited number of 10-rupee coins and exactly one coin of r rupee and you need to buy minimum items each of cost k such that you do not ask for change. Examples: Input: k = 15, r = 2 Output: 2 You should buy two cables and pay 2*15=30 rupees. It is obvi...
HuggingFaceTB/finemath
# - pH and pOH 1.  pH scale developed by a Danish chemist Sören Sörenson  Numerical value without units, that communicates the hydrogen ion concentration. ## Presentation on theme: "- pH and pOH 1.  pH scale developed by a Danish chemist Sören Sörenson  Numerical value without units, that communicates the hydrogen...
HuggingFaceTB/finemath
Enter the h-index and the number of years since the first published paper into the Calculator. The calculator will evaluate the M-Index. ## M-Index Formula MI = h/n Variables: • MI is the M-Index () • h is the h-index • n is the number of years since the first published paper To calculate M-Index, divide the h-ind...
HuggingFaceTB/finemath
Solutions by everydaycalculation.com ## Reduce 3892/5908 to lowest terms The simplest form of 3892/5908 is 139/211. #### Steps to simplifying fractions 1. Find the GCD (or HCF) of numerator and denominator GCD of 3892 and 5908 is 28 2. Divide both the numerator and denominator by the GCD 3892 ÷ 28/5908 ÷ 28 3. Redu...
HuggingFaceTB/finemath
# Number Lines Teaching Resources Download printable number line teaching resources to help students as they develop their understanding of counting, operations, fractions, and more elementary math skills! Save time on your math lesson planning with printables that are ready to be downloaded and used in the classroom!...
HuggingFaceTB/finemath
# 数学公式的英语读法 1.Logic ∃ there exist ∀ for all p⇒q p implies q / if p, then q p⇔q p if and only if q /p is equivalent to q / p and q are equivalent 2.Sets x∈A x belongs to A / x is an element (or a member) of A x∉A x does not belong to A / x is not an element (or a member) of A A⊂B A is contained in B / A is a subset of...
HuggingFaceTB/finemath
## Conversion formula The conversion factor from deciliters to teaspoons is 20.288413535365, which means that 1 deciliter is equal to 20.288413535365 teaspoons: 1 dL = 20.288413535365 tsp To convert 733 deciliters into teaspoons we have to multiply 733 by the conversion factor in order to get the volume amount from ...
HuggingFaceTB/finemath
Share # A Metal Ball of Mass 1 Kg is Heated by Means of a 20 W Heater in a Room at 20°C. the Temperature of the Ball Becomes Steady at 50°C. (A) Find the Rate of Loss of - Physics #### Question A metal ball of mass 1 kg is heated by means of a 20 W heater in a room at 20°C. The temperature of the ball becomes steady...
HuggingFaceTB/finemath
# Understanding Place Value Place value is an extremely important concept that is taught as early as kindergarten. As students learn about larger numbers, the concept of place value continues throughout the middle grades. Place value refers to the value of the digit based on its position and can be a difficult concept ...
HuggingFaceTB/finemath
# Search by Topic #### Resources tagged with Factors and multiples similar to The Animals' Sports Day: Filter by: Content type: Stage: Challenge level: ### There are 105 results Broad Topics > Numbers and the Number System > Factors and multiples ### Gran, How Old Are You? ##### Stage: 2 Challenge Level: When Ch...
HuggingFaceTB/finemath
# Solve the following equation. Then place the correct number in the box provided. x/10 = 4 x = 40. Step-by-step explanation: To completely find the correct answer to your question, you need to multiply 10, to both sides of the equation, and x/10 x 10 = x, and 4 x 10 = 40, so the correct answer to your problem is: x...
HuggingFaceTB/finemath
# Note: In this question, a complex number is counted as a vector initiated from the origin. ______________________________________________________________- Is there a holomorphic function $$B:\mathbb{C}^2 \to \mathbb{C}$$ such that for every two non zero complex numbers $$z,w$$ with $$z/w \notin \mathbb{R},$$ the v...
HuggingFaceTB/finemath
# First, Second Derivatives and Graphs of Functions A tutorial on how to use the first and second derivatives, in calculus, to study the properties of the graphs of functions. ## Theorems To graph functions in calculus we first review several theorem. 3 theorems have been used to find maxima and minima using first a...
HuggingFaceTB/finemath
# Graphing. Representing numerical information in a picture. Graph shows a picture of a relationship -how two processes relate -what happens when two events. ## Presentation on theme: "Graphing. Representing numerical information in a picture. Graph shows a picture of a relationship -how two processes relate -what ha...
HuggingFaceTB/finemath
Courses Courses for Kids Free study material Free LIVE classes More LIVE Join Vedantu’s FREE Mastercalss # Which one of the following is not a quadratic equation?$\left( {\text{i}} \right){x^2} = 6x \\ \left( {{\text{ii}}} \right){x^2} - 6x = 30 \\ \left( {{\text{iii}}} \right){x^2} = 10 \\ \left( {{\text{iv}}} \right...
HuggingFaceTB/finemath
Request a call back A block weighing 600 N has been subjected to a load system as shown in fig. Work out the frictional force for the block and state whether it is in equilibrium or in motion. What additional force needs to be added to 120 N forces so that the block just moves to the left ? Asked by borakaushikkumar |...
HuggingFaceTB/finemath
MATHEMATICA TUTORIAL # Further Examples of Exactly Solvable Higher-Order Equations The solutions to many second-order ODEs can be expressed in terms of special functions. Solutions to certain higher-order ODEs can also be expressed using AiryAi, BesselJ, and other special functions. The solution to this third-order ...
HuggingFaceTB/finemath
## Question 629: 1 For this test we want to compare more than 2 means so we would use a 1-Way ANOVA. The Null hypothesis is that there is no difference between any means. The alternative hypothesis is that at least one mean is different than the other two. The computations for the ANOVA are simple in concept, but a ...
HuggingFaceTB/finemath
# Answers Solutions by everydaycalculation.com ## What is the LCM of 540 and 48? The LCM of 540 and 48 is 2160. #### Steps to find LCM 1. Find the prime factorization of 540 540 = 2 × 2 × 3 × 3 × 3 × 5 2. Find the prime factorization of 48 48 = 2 × 2 × 2 × 2 × 3 3. Multiply each factor the greater number of times ...
HuggingFaceTB/finemath
#### Transcript newtons_laws_of_motion ```Newton’s Laws of Motion I. Law of Inertia II. F=ma III. Action-Reaction While most people know what Newton's laws say, many people do not know what they mean (or simply do not believe what they mean). Newton’s Laws of Motion  1st Law – An object at rest will stay at rest, and...
HuggingFaceTB/finemath
# how to understand algebra word problems Half of can be written as 1/2 times, or 1/2 : f = 1/2 8 + 25. 60 4 is 240, so the distance our fast train traveled would be 240 miles. Read the Entire Word Problem Before students look for keywords and try to figure out what to do, they need to slow down a bit and read the wh...
HuggingFaceTB/finemath
# High School Physics : Understanding the Concept of Waves ## Example Questions ### Example Question #1 : Waves, Sound, And Light Two waves, each with an amplitude of  are superimposed with constructive interference such that they are in phase. What is the resultant amplitude? Explanation: When two waves are super...
HuggingFaceTB/finemath
1. ## two problems hi there! finally i found a very helpful forum! I need two "derivative" solutions of these problems: 1. from all right-angled triangles whose cathetes sum is 12, find the triangle which has the shortest hypotenuse. 2. From a rope with length "d" create a rectangle whose surface is maximal. thank...
HuggingFaceTB/finemath
# Work-Energy Theorem – key concepts Since $E_k=\dfrac{GMm}{2r}$ for satellites in orbit (where G is the gravitational constant, r is the radius of the orbit, M is the mass of the planet and m is the mass of the satellite), kinetic energy increases. Hence $\Delta {E_k}=GMm(\dfrac{1}{2r_2}-\dfrac{1}{2r_1})$ is positive....
HuggingFaceTB/finemath
# Where does this formula for the OLS estimate as a function of the true parameters come from? Suppose that in the population: $$y = \alpha + \beta_1 x_1 + \epsilon$$ We now estimate the model: $$\hat{y} = \hat{\alpha} + \hat{\beta_1} x_1$$ I have seen the following formula which writes the OLS estimate as a functio...
HuggingFaceTB/finemath
# Given f'(x)=ln(1+tanx) what is the function f? Asked on by greynose giorgiana1976 | College Teacher | (Level 3) Valedictorian Posted on We'll have to determine the primitive of the given function and we'll do it by integrating f'(x). The first step is to replace x by pi/4 - t x = pi/4 - t Differentiating, we'l...
HuggingFaceTB/finemath
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A259728 Sum of digits of a(n) equals the sum of digits of 4*a(n). 3 0, 3, 6, 9, 15, 18, 27, 30, 33, 36, 39, 45, 48, 51, 54, 57, 60, 63...
HuggingFaceTB/finemath
The Associative Property refers to grouping numbers. We will see that regrouping numbers is easy in addition and multiplication. And computations that regroup numbers use the Associative Property. `a + (b + c) = (a + b) + c` Let’s look at an example! `2 + (3 + 4) = (2 + 3) + 4` Is this true? Let’s simplify using PEM...
HuggingFaceTB/finemath
## Elementary Technical Mathematics $\frac{3}{7}~lb/person$. To get the ratio of $lb/person$ we divide the amount of potatoes by the number of people. That is, $$\frac{18}{42}=\frac{3}{7}~lb/person$$.
HuggingFaceTB/finemath
Conversion formula The conversion factor from kilometers per hour to knots is 0.53995680345662, which means that 1 kilometer per hour is equal to 0.53995680345662 knots: 1 km/h = 0.53995680345662 kt To convert 798.4 kilometers per hour into knots we have to multiply 798.4 by the conversion factor in order to get the...
HuggingFaceTB/finemath
Home » cm to inch » 3 cm to Inches – 3 cm in ″ # 3 cm to Inches – 3 cm in ″ Here’s all about 3 cm to inches. On this page we show you how to convert 3 cm to inches, and we also have a cm to inch converter you want to check out. If you have been looking for 3 cm in inches or 3 cm in ″, or if you have been asking you...
HuggingFaceTB/finemath
Allari Alludu Naa Songs, Funko Fnaf Plushies Wave 7, Pwcs School Board Live, Waterford Upstart Salary, The Great Train Robbery 2013 مترجم, Air Popcorn Maker, Alfred The Great Death, What Can Pigs Not Eat, Xipe Totec Meaning, " /> Angle B and the original 56 degree angle are also equal alternate interior angles. Exteri...
open-web-math/open-web-math
Search a number BaseRepresentation bin1111101110110100111 3222012010102 41331312213 5112443440 615014315 74244621 oct1756647 9865112 10515495 11322332 1220a39b 13150836 14d5c11 15a2b15 hex7dda7 515495 has 4 divisors (see below), whose sum is σ = 618600. Its totient is φ = 412392. The previous prime is 515477. The nex...
HuggingFaceTB/finemath
# Amplitude and phase spectrum in MATLAB I have a little problem with the subject Theory of signal. We were told to make amplitude and phase spectrum of cosinus in MATLAB, but we don't have results nor materials from our teachers, so we have to study from many different materials and you can imagine what this is like....
HuggingFaceTB/finemath
# Using simple special cases in problem-solving You’ve seen how mathematical problems can be solved with less, or even no, detailed calculation by looking at what the problem tells you about the shape of the solution. Another useful method, at least for checking answers, is to look at simple special cases of the prob...
HuggingFaceTB/finemath
# Given below is a lens combination. What will be the position of the image? 1. 2.5 cm to the right of the Lens2 2. 2.5 cm to the left of the Lens2 3. 12.5 cm to right of the Lens2 4. 12.5 cm to the left of Lens2 Option 4 : 12.5 cm to the left of Lens2 ## Detailed Solution The correct answer is option 4, i.e., 12.5...
HuggingFaceTB/finemath
# Computing Definite Sums of Rational Functions I am attempting to compute a rather complicated sum, $$S_n$$, that in the end satisfies the relation $$(S_n + T_n) = (\frac{(n+1)^2 - 1}{n+1})m^3 + O(m^2)$$. I should note that $$T_n$$ is also unknown. There are many intermediate sums in this computation, for example: s...
HuggingFaceTB/finemath
# P Ice Cream Tart! (in Protest of Mispronounciations) 493 2 1 I'm half Greek. I've lived there all my life...until last year, when I moved to the U.S. And once in a while I would hear mention of a mysterious mathematical concept called pie. I'd never heard of it . (well, except for PIE pie, obviously..) I think I ...
HuggingFaceTB/finemath
# How to find missing length of triangle In this blog post, we will take a look at How to find missing length of triangle. Math knowledge that gets you Get help from expert professors ## How do people think about us The best maths solving app I've ever seen. Math is the one thing I'm bad at, it's just a bit too exp...
HuggingFaceTB/finemath
User: • 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 Exponent...
HuggingFaceTB/finemath
# Intercept Form The intercept form of the line is the equation of the line segment based on the intercepts with both axes. a is the x-intercept. b is the y-intercept. a and b must be nonzero. The values of a and b can be obtained from the general form equation. If y = 0, x = a. If x = 0, y = b. A line does not...
HuggingFaceTB/finemath
# Thread: Directional Derivatives and Gradient Vectors 1. ## Directional Derivatives and Gradient Vectors I would appreciate any help on the following problem: Suppose I am descending a mountain, and for every 3 meters I travel NW, I climb 1/2 a meter, and for every 2 meters I travel NE, I descend 1/4 of a meter. a)...
HuggingFaceTB/finemath
# Reminder - Practicing multiplication (up to 12) and long division facts are VERY important! Save this PDF as: Size: px Start display at page: Download "Reminder - Practicing multiplication (up to 12) and long division facts are VERY important!" ## Transcription 2 2 FOURTH GRADE GRADE LEVEL EXPECTATIONS IN MATHMA...
HuggingFaceTB/finemath
# Thread: Limit Comparison Test 1. ## Limit Comparison Test $\sum^ \infty _{n=1} \frac{2}{3^n-5}$ = $\lim_{n\rightarrow \infty} \frac{6^n}{6^n-25} = 1 > 0$ This is what I think: The original function is divergent since $\sum^ \infty _{n=1} \frac{2}{3^n}$ is divergent. Is this right? Could you explain to me how to ...
HuggingFaceTB/finemath
1. ## Simple Complex number how to solve sqrt(-8.3)sqrt(1 - i8)? i try to solve it.. but got the wrong answer.. sqrt(-8.3)sqrt(1 - i8) = sqrt[(8.3i^2)(1 - 8i)] = sqrt (8.3i^2 - 66.4i) = 2.88i + 8.15 the answer should be.. 5.41 + i6.13 2. ## Re: Simple Complex number Originally Posted by nameck how to solve sqrt(-...
HuggingFaceTB/finemath
is what % of ? 38.33% # 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
16.5.1: Problem Set $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\rang...
HuggingFaceTB/finemath
# Equipartition Theorem and Microscopic Motion 1. Dec 4, 2008 ### doggieslover What is the typical rotational frequency f_rot for a molecule like {\rm N}_2 at room temperature (25\;^\circ \rm{C})? Assume that d for this molecule is 1\; {\rm \AA} =10^{-10}\; {\rm m}. Take the atomic mass of {\rm N}_2 to be m_{\rm N_2...
HuggingFaceTB/finemath
# A triangle has corners at (1 ,4 ), (9 ,6 ), and (4 ,5 ). How far is the triangle's centroid from the origin? May 17, 2016 The distance of triangle's centroid from the origin is $6.839$ units #### Explanation: The centroid of a triangle whose vertices are $\left({x}_{1} , {y}_{1}\right)$, $\left({x}_{2} , {y}_{2}\...
HuggingFaceTB/finemath
# 4. Phase Relations (Das, Chapter 3) Sections: All except 3.6 ## Presentation on theme: "4. Phase Relations (Das, Chapter 3) Sections: All except 3.6"— Presentation transcript: 4. Phase Relations (Das, Chapter 3) Sections: All except 3.6 For this chapter, we need to know the following Mass (M) is a measure of a bo...
HuggingFaceTB/finemath
Type Here to Get Search Results ! # Numerical in motion in a plane ## How do you solve Numericals in motion in a plane? Question 1: Given two points A = (-4, 6) and B = (5, 12), determine the position vector AB. Then, compute the displacement vector of the vector AB. (a) 10i + 5j (b) 4i - 6j (c) 9i + 6j (d) None of...
HuggingFaceTB/finemath
Examples of Bilinear Mappings Examples of Bilinear Mappings Recall from the Bilinear Mappings and Multilinear Mappings page that if $X$, $Y$, and $Z$ are linear spaces over $\mathbf{F}$ then a bilinear map from $X$ and $Y$ to $Z$ is a function $T : X \times Y \to Z$ such that for every fixed $y \in Y$ the map $x \to ...
HuggingFaceTB/finemath
# Hang-Time by qqj15102 VIEWS: 23 PAGES: 1 • pg 1 ``` Hang-Time Hang-Time Purpose: Use Kinematics equations and simple tools Purpose: Use Kinematics equations and simple tools (yardstick, stopwatch, and calcu...
HuggingFaceTB/finemath
Solutions by everydaycalculation.com ## Subtract 9/84 from 42/14 1st number: 3 0/14, 2nd number: 9/84 42/14 - 9/84 is 81/28. #### Steps for subtracting fractions 1. Find the least common denominator or LCM of the two denominators: LCM of 14 and 84 is 84 Next, find the equivalent fraction of both fractional number...
HuggingFaceTB/finemath
```Website owner: James Miller ``` [ Home ] [ Up ] [ Info ] [ Mail ] ORIGIN OF THE CONCEPT OF IRRATIONAL NUMBERS Origin of the concept. The origin of the concept of an irrational number lies in the following fact discovered by the ancient Greeks. Fact. In a square with sides of unit length there is no rational num...
HuggingFaceTB/finemath
# Lesson 2 Representations of Growth and Decay ### Problem 1 In 1990, the value of a home is $170,000. Since then, its value has increased 5% per year. 1. What is the approximate value of the home in the year 1993? 2. Write an equation, in function notation, to represent the value of the home as a function of time i...
HuggingFaceTB/finemath
# Difference between revisions of "Burden" This page contains formulae or data from the distribution mudlib. The data has been partially verified as up to date. You can help by filling in research on the topic. A player's burden is a measure of how much difficulty they are having carrying things and moving around du...
HuggingFaceTB/finemath
# Resources tagged with: Mathematical reasoning & proof Filter by: Content type: Age range: Challenge level: ### There are 158 results Broad Topics > Thinking Mathematically > Mathematical reasoning & proof ### Even So ##### Age 11 to 14 Challenge Level: Find some triples of whole numbers a, b and c such that a^2 ...
HuggingFaceTB/finemath
Killing A Paradox: The Two Envelopes Class proper will resume after Labor Day on 9 September. Link to all Classes. Jaynes’s book (first part): Video Rumble Bitchute (often a day or so behind, for whatever reason) HOMEWORK: Review the old material! Class resumes on 9 September. Lecture The so-called two envelope...
HuggingFaceTB/finemath
In an underdamped vibration system, logarithmic decrement is given by: Free Practice With Testbook Mock Tests Options: 1. $$\frac{{2\pi \xi }}{{\sqrt {1 - {\xi ^2}} \;}}$$ 2. $$\frac{{2\pi \xi^2 }}{{\sqrt {1 - {\xi ^2}} \;}}$$ 3. $$\frac{{2\pi \xi }}{{\sqrt {1 + {\xi ^2}} \;}}$$ 4. $$\frac{{2\pi \xi }}{{\sqrt {1 ...
HuggingFaceTB/finemath
Multivariable Optimization With Constraints • : Format • : Pages • : • : Chapters • MULTIVARIABLE OPTIMIZATION WITH CONSTRAINTS Optimization introduction When working through examples, you might wonder why we bother writing out the Lagrangian at all. Wouldn’t it be easier to just start with these two equations rat...
HuggingFaceTB/finemath
# Prove that if the set of ideals is $\{\{0\}, R \}$, then $R$ is a field. Let $R$ be an integral domain. Prove that if the set of ideals is $\{\{0\}, R \}$, then $R$ is a field. $\{0 \}$ and $R$ are the trival ideals of $R$. Let $I$ ba an ideal of $R$ and $a\in I$ where $a$ is not a zero element. And let $b\in R$. B...
HuggingFaceTB/finemath
## Main Categories Total: \$0.00 Teaching for understanding (48) United States - Oregon - Mount Angel 3.9 "If you give a man a fish, he eats for a day. If you teach a man to fish, he eats for a lifetime". My Products sort by: Best Seller view: This project requires students to look at a blue print and determine the ...
HuggingFaceTB/finemath
# 20 percent off twelve How to calculate 20 percent-off \$twelve. How to figure out percentages off a price. Using this calculator you will find that the amount after the discount is \$9.6. ### Inputs Original price: \$ Discount percentage: % Discount: \$ Final Price: \$ ### Details Using this calculator you can ...
HuggingFaceTB/finemath
# Mixing Problem Question 1. Jan 24, 2014 ### ank91901 Hi all. I'm trying to help a friend work a differential equation problem since I've already taken this course and gotten an A in it, but this other problem has me a little confused. The book is ODE's by Tenenbaum and Pollard, chapter 3 lesson 15a number 2. #1)...
HuggingFaceTB/finemath
How do you simplify (-t+15t^2)-(5t^2+2t-9)? Simply change the sign to the last three terms and add the same power of $t$: -t+15t^2-(5t^2+2t−9)= -t+15t^2-5t^2-2t+9 Now, you can sum up the two squares: $15 {t}^{2} - 5 {t}^{2} = 10 {t}^{2}$, the linear coefficient: $- t - 2 t = - 3 t$, and obtain the expression $10 {t}^{...
HuggingFaceTB/finemath
SIAM News Blog SIAM News # Quantifying Uncertainty in Numerical Analysis My first encounter with the pairing of numerical analysis and uncertainty quantification goes back three decades. There was not yet a name to define the latter, and only few numerical analysts ventured into the world of probability. As a graduat...
open-web-math/open-web-math
## Calculus, 10th Edition (Anton) If $x \neq 0$, then $y = \frac{1}{x}$ satisfies $x^3y'' + x^2y' - xy =0$. If $y = \frac{1}{x} = x^{-1}$, then \begin{align} y' &= (-1)x^{-1-1} \\ &= -x^{-2} \\ y'' &= (-2)(-x^{-2-1}) \\ &= 2x^{-3} \\ \end{align} Substitution $y, y'$, and $y''$ into the differential equation, we obtain...
HuggingFaceTB/finemath
# Physics Triple Triple Science Physics Topic and Revision HideShow resource information • Created by: Amy • Created on: 10-05-11 08:46 ## Moments Use forces to make things turn. The turning effect that the force has is its moment. The moment is bigger if the force used is bigger. The moment is bigger if the dist...
HuggingFaceTB/finemath
# How do you solve log(x-3)+log x=1? May 4, 2016 $x = 5$ #### Explanation: Use Properties: ${\log}_{b} \left(x y\right) = {\log}_{b} x + {\log}_{b} y$ ${\log}_{b} x = y \iff {b}^{y} = x$ $\log \left(x \left(x - 3\right)\right) = 1$ $\textcolor{w h i t e}{\times \times \times}$ [ 1 = log10] $\log \left({x}^{2} - ...
HuggingFaceTB/finemath
# Boolean lattice ## Boolean Lattices A Boolean lattice $B$ is a distributive lattice in which for each element $x\in B$ there exists a complement $x^{\prime}\in B$ such that $\displaystyle x\land x^{\prime}$ $\displaystyle=0$ $\displaystyle x\lor x^{\prime}$ $\displaystyle=1$ $\displaystyle(x^{\prime})^{\prime}...
HuggingFaceTB/finemath
## A tuning fork of frequency n is sounded at the open end of a long cylindrical tube having a side opening… Q: A tuning fork of frequency n is sounded at the open end of a long cylindrical tube having a side opening and fitted with a movable reflecting piston, On moving the piston through 9 cm, the intensity of sound...
open-web-math/open-web-math
You are Here: Home Uni maths question Tweet Maths and statistics discussion, revision, exam and homework help. Announcements Posted on Enter our travel-writing competition for the chance to win a Nikon 1 J3 camera 20-05-2013 IMPORTANT: You must wait until midnight (morning exams)/4.30AM (afternoon exams) to discuss ...
HuggingFaceTB/finemath
# math posted by . Area of the four walls of a room is 108 m2. If the height and length of the room are in the ratio of 2 : 5 and the height and breadth in the ratio 4 : 5, then the area, in m2, of the floor of the room is : • math - ratio of height : length = 2 : 5 = 2x : 5x = 4x : 10x ratio of height : breadth (...
HuggingFaceTB/finemath
# The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. The father’s present age is 1.  33 years 2.  39 years 3.  45 years 4.  40 years 4 33 years Explanation : No Explanation available for this questi...
HuggingFaceTB/finemath
Division of Decimals - Statement Questions Chapter 2 Class 7 Fractions and Decimals Concept wise ### Transcript Example 5 Find the average of 4.2, 3.8 and 7.6.Average = (4.2 + 3.8 + 7.6)/3 = 𝟏/𝟑 × (4.2 + 3.8 +7.6) = 1/3 × (42/10×38/10×76/10) = 1/3 × ((42 + 38 + 76)/10) = 1/3 × ((76 + 42 + 38)/10) = 𝟏/𝟑 × 𝟏𝟓𝟔/...
HuggingFaceTB/finemath
# Ask Uncle Colin: A dangling rope A Hanging Rope Dear Uncle Colin, I'm designing a small cathedral and have an 80-metre long rope I want to hang between two vertical poles. The poles are both 50 metres high, and I want the lowest point on the rope to be 20 metres above the ground. How far apart should I place the p...
HuggingFaceTB/finemath
# Electric force between two charged spheres is 18 units.If the distance between the centres of the sphere is tripled,the electric field will be----------------- Shreya D Nanda 74 Points 6 years ago HI, Electric force, $F=\left (1/4\pi \epsilon _{0})q_{1} q_{2}/r^{2}$.. $\Rightarrow F\propto 1/r^2$ Initially consider ...
HuggingFaceTB/finemath
# Thread: A problem related to complex numbers 1. ## A problem related to complex numbers Hey guys, I have a problem concerning complex numbers and I could very much use your help. Please help me with it. I need to find the cube roots of -64i in the form of a+bi with a and b being real. Thank you for your help in adv...
HuggingFaceTB/finemath
# Divide up to 4 digits by 1 digit ## Learning focus Learn how to divide up to 4-digit numbers by 1-digit numbers. This includes: • a learning summary • one video • one slideshow • two activities # Quiz To get started, let's see how well you know this topic already. Take the quiz below to find out. # Learn Find...
HuggingFaceTB/finemath
Courses Courses for Kids Free study material Offline Centres More Last updated date: 07th Dec 2023 Total views: 279.9k Views today: 5.79k # How to find the exact value of $\sec \left( { - \dfrac{\pi }{3}} \right)$ ? Verified 279.9k+ views Hint: This problem is easy once we find the definition of sec. A secant of a cu...
HuggingFaceTB/finemath
# Pdf • Jan 5th 2007, 05:04 AM feage7 Pdf 1) The probability density function of a truncated exponential random variable, T, is given by f(t) = xe^-xt/e^-xa - e^-xb, x > 0; a<= t <= b a) show that this is a valid density function b) Given and independant random sample of observations from this truncated exponential...
HuggingFaceTB/finemath
# Find the time of its fall I have been having some problems with this question: An object falls from a height h from rest. If it travels a fraction of the total height of 0.5665 in the last 1.00 s, find the time of its fall. I started by saying h=(0.5)(g)(T^2) Then I said that 1-.5665h=(0.5)(g)(T-1)^2 I have no id...
HuggingFaceTB/finemath
# What is the number of pages of a certain journal article? What is the number of pages of a certain journal article? 1. The size of each page is  inches by 8 inches. 2. The average (arithmetic mean) number of words per page is 250. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. ...
HuggingFaceTB/finemath
# Some Transforms ## Terms Some terms used below: opposite row/column the row/column at the same offset from the opposite side of the square Example: For order 5, the opposite of 1 is 5 and the opposite of 2 is 4. same side row/column from the first to the middle or the middle to the last, not including the middle f...
HuggingFaceTB/finemath
# Write the equation of the parabola whose directrix y=-9.25 and has a focus at (9,-6.75)? • Write the equation of the parabola whose directrix y=-9.25 and has a focus at (9,-6.75)? Answer #1 | 04/03 2017 20:19 Directrix is a horizontal line so the parabola is of the form (x-h)^2 = 4p(y-k) where (h,k) is the vertex c...
HuggingFaceTB/finemath