Root Definition and 918 Threads

I'm working on the limit of the sequence (Xn) = (n!)^(1/n) Pretty sure it diverges as n goes to infinity, but unsure how to show it. Any hint would ge greatly appreciated.

Homework Statement This problem is #17 in Chapter 3 of Giancoli's 5th Edition Physics. The summit of a mountain, 2085 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 32.4 degrees west of north, What are the x, y, and z components of the...

Integration of a composite square root function, easy (hard for me :( ) Homework Statement How would I integrate: y = \sqrt{(1 + 4x^2)} Homework Equations - The Attempt at a Solution I have no idea how to do this. I tried to to the chain rule in reverse, and then I ignored it, but I can't...

Homework Statement find \int x^{\frac{3}{2}}\sqrt{1+x} dx Homework Equations The Attempt at a Solution Now i tried all the methods i know of which include integration by parts and substitution,the integration by parts didn't work too well, so substitution I tried. let...

Am sorry, if this topic does not belong to this section, as i am new, kindly oblige Can root RMS value of current (what we study in Alternating currents) be negative? i feel that it can surely be negative as it is a root, but my teacher told that it can't be negative and showed just one...

This is just a general question: If, when you are calculating the eigenvalues for a matrix, you get a root of 0 (eg. x^3 - x) --> x(x-1)(x+1), what does that mean for the eigenvectors? thanks, w.

An integral \int\limits_{-\infty}^{\infty} \sqrt{1+x^2} e^{-Ax^2+Bx} dx is the problem. Anyone knowing the solution?

Homework Statement Find a Polynomial function of degree 5 whose zeros are: 2, radical 7, and 5i Homework Equations Multiplying rootsThe Attempt at a Solution Hello, well it's my first time at these forums so just following the template given. Thanks for any help by the way I'm just so...

I'm confused on the graph: y=\sqrt{x}-4 I know the x- and y-intercepts which are: (0,-4) and (16,0) but I don't know if the graph extends to the negative x (3rd Quad). You can never square root a negative number and get a real number right? Therefore, does the graph just stop at the...

thoughtful paper on how to convey an idea with least confusion http://arxiv.org/abs/0707.0380 Expanding Space: the Root of all Evil? Matthew J. Francis, Luke A. Barnes, J. Berian James, Geraint F. Lewis 8 pages, accepted for publication in PASA (Submitted on 3 Jul 2007) "While it remains...

z^4= 1/2 + i sqrt(3)/2 I start by transforming into polar form: z^4 = e^(i*Pi/3) But then I'm blank.

Is "root over a^2=modolus of a?" mod of a is always positive, but root over a^2 can both be positive or negative. So how these two can be equal to each other? I have found this in a math textbook. But I can't convince myself about it. It will be very helpful if you give a proof. Thnx in...

Isn't \sqrt{2}^{4} equal to 4?? How come when I plug this into my calculator it gives me the number:3.999999999996 , which is very close to 4 but isn't?? Is there something wrong with the settings of my calculator?

Root of "n" degree of the number "n" Hello! Frankly speaking I am not sure whether this is proper forum, because I am not sure if this exercise involves calculus or not... The task is: Consider the numbers "root of "n" of n degree", n >= 2. How many of them are equal? Justify your answer...

Mosses and ferns have rhizome whereas a mango tree has root. Rhizomes are used for absorbing water and nutrient from ground by mosses as higher plants use their roots. SO I don't understand why two distinct terms are used for things of similliar functions.

I am having a hard time figuring this out. Suppose we have a 4x4 matrix A, B and rotation matrix D. Matrix A represent position and orinetation of object1, matrix B represent position and orientation of object2. Matrix D is the position and oreintation of object2 relative to object1. B = D*A...

Just bored and decided I want to make my own little calculator on my computer. What is the method for finding the square root of an input number?

I've been looking at the value N(n) of N that satisfies the equation \sum_{1}^{n}(N-i)^{n}=N^{n} Thus turns out to be N(n)=1.5+\frac{n}{ln2}+O(1/n) where the O(1/n) term is about 1/400n for n>10. I've verified this by calculation up to about n=1000, using Lenstra's long...

I feel embarassed to ask these questions but what is the rule for to simplify division, addition, and subtraction square roots? Here are some questions: SIMPLIFY:5\sqrt{24}\div2\sqrt{18} \sqrt{40} + \sqrt{90} \sqrt{50} - \sqrt{18}

As a Grade 12 student that is often required to find the roots of quadratics for math, physics, and chemistry problems, I wondered whether there would be any methods for solving these problems excepting the quadratic formula. I was pondering the implications of calculus in algebra and, although...

I am a 3rd Physics student and this is news to me! apparently root of i is exp(iPi/2))^1/2 Why? Of course by i I mean Root of minus 1

Homework Statement derivate: x^2 \sqrt{x} Homework Equations (u \cdot v)^\prime = u^\prime \cdot v + v^\prime \cdot u The Attempt at a Solution I found: (x^2)^\prime = 2x (\sqrt{x})^\prime = \frac{1}{2 \sqrt{x}} I entered them into the equation: 2x \cdot \sqrt{x} + x^2...

Homework Statement Does this series converge or diverge? Series from n=1 to infinity n(-3)^(n+1) / 4^(n-1) Homework Equations The Attempt at a Solution Okay, I've tried it both ways. Ratio test: lim n --> inf. ((n+1)*(-3)^(n+1)/4^n) / (n * (-3)^n / 4^(n-1)) Now...

Yes or no, Can you square root a zero. This is for a limits question.

Homework Statement \int \sqrt{t^2+9} Homework Equations The Attempt at a Solution Apparently you can't solve this equation as you would \int \sqrt{t+9}, which would come out to \frac{2(t+9)^3/2 }{3}. Instead, my calculator is getting this extremely complicated answer involving ln functions...

Pardon me for not using latex. Homework Statement A toothpaste box has square ends. The length is 12cm greater than the width. The volume of the box is 135cm^3. What are the dimensions of the box? Homework Equations Quadratic theory, Random pluggin for x, common factoring, Family of...

Can anyone explain what the square root does? I know 3 squared equals the square root of 9. I want to learn what is actually happening behind the math, if that makes sense. Consider the following: I’m calculating the wavelength of light, and traveling towards the source. Speed of light =...

Homework Statement F(x)= square root of x what would F'(x)=? (F prime of x) Homework Equations F(x)= 3x^2 F'(x)=6x F(x)= x^3 F'(x)=3x^2 The Attempt at a Solution no clue. If the variable is a square root, it wouldn't have an exponent, right? confused.

Hi, I have the equation A = πr² + r²root(k²-1) i need to rearrange it to find r i go it to r³ = (2A/π+root(k²-1) to get just r (with no powers) what will the final equation look like and why. Thanks :biggrin:

Hi, Im new to Matlab, and my lecturer asked me to do his question which is: Find one root of equation 8x^3-36x^2+54x-12=0 using the bisection method. Your answer must includethe number of iterations. Ive already read the Introduction to MATLAB 7, and Numerical Methods for Engineers. And...

what is /squared root sign4x+1 / what does this equal because I'm confused when it has the square root sign on it all and it's absolute value

Homework Statement I need to find the solution to (2-11i)^{\frac{1}{3}} Homework Equations If (2-11i)^{\frac{1}{3}} were to equal (a + bi) for some real numbers a and b then 2 - 11i = a^3 +3a^2bi-3ab^2-b^3i The Attempt at a Solution From above a^3-3ab^2 = 2 and 3a^2b - b^3 =...

Hi! I've got a question. There is a nice formula for finding square roots of arbitrary complex numbers z=a+bi: \frac{1}{\sqrt{2}}(\epsilon\sqrt{|z|+a}+i\sqrt{|z|-a}) where epsilon:=sing(b) if b≠0 or epsilon:=1 if b=0. I've just looked it up and it's nice to use it to find complex roots of...

wat is under root - i ? please anser this

Here is the question in the book: -------------- Give an example of a divergent infinite series of positive numbers a_{n} such that \lim_{n\rightarrow \infty}a_{n+1}/a_{n} = \lim_{n\rightarrow \infty}a_{n}^{1/n} = 1 and an example of a convergent infinite series of positive numbers with the same...

Hello, I got pointed to this forum by OfficeShreder. I have a question I've been puzzling myself over for a while. I am currently trying to implement the "Discrete Weighted Transform". I have reached a step where I need to determine "a primitive Nth root of unity in the appropriate domain"...

what does \sqrt{i^2} equal to? is \sqrt{i^2} = i or \sqrt{i^2} = \pm i?

is the square root of a prime number always going to be irrational? just a random question.

Consider the square root operation. Suppose an integer numbers i > 0 as input variable. Design an algorithm which calculates the greatest natural number less than or equal to the square root of the input variable i. can smby pls explain to me what does this ques mean??if possible explain...

How do you solve quadratic equations which have atleast one positive root?? The question was this: Find the value of 'm' for which the roots are such that at least one is positive. x2 -(m-3)x + m = 0 mR. Can someone help me get started? Here is my work: I checked the discriminant. for...

Couldn’t decide if I should put this in the calculus or general math forums but... I’m studying for a final that’s coming up this Wednesday and I’ve been looking at some past quizzes with the steps to finding the solutions that my instructor has posted online. Given the problem: 1. Compute...

hi guys i gota question in chemistrygas laws , i thought about it and am still confused ~~~~~~~~~~~ what does the area under a number of molecules against speed of gas represent? it is to do with root mean square speed ... i thought that it might be the average kinetic energey but it seems...

The question is show that the equation f(x)=3x-2+cos(Piex/2)=0 has exactly one real root. Using the intermediate value theorem f is continuous and f(o)=-1 and f(1)=1., the equation has one root. Supposing it has two roots a and b , and a<b. Then f(a)=0=f(b). Using Rolle's theorem there is a...

Hey all, this is my first post here, I have just discovered the site, and it looks great :smile: I need some help on units, regarding square roots. When you find the reciprocal of a quantity, like say, mass, the new unit is kg-1. I'm not sure about when you find the square root of a...

My class, teacher included, cannot seem to figure out the integral of the square root of tan x. Maybe someone here can help? thanks, jeremy

Matlab and Root Mean Square help please... So I have this given data: year = [1928:4:1936 1948:4:1956 1964:4:2000]; time = [12.2 11.9 11.5 11.9 11.5 11.5 11.4 11.08 11.07 11.08 11.06 10.97 10.54 10.82 10.94 10.75]; and after plotting it (time vs. year), I am told to find the best...

a) sketch the graph of the function f(x)=square root X b) on the same set of axes, graph y=f^-1(x), y=-f^-1(-x) so I did a chart, but i don't know if its right...I don't think its right :confused: f(x)=squareroot x X Y 0 0 1 1 4 2 9 3 y=f^-1(x) X Y 0 0 1 -1...

Uing a probability distribution for values obtained in throwing 3 dice together, find the uncertainty associated with throwing th 3 dice togehter, that is, the root mean square average of the deviation of a given thrown from the average throw. What exactly is "the average throw" ? I know what...

I had to use state-variable feedback to design a position control system for a motor. I have to design the controller using root locus methods. The gain that is varied is located in the feedback loop as shown in the picture. I am completely lost as to how to generate a root locus with the...

I had to use state-variable feedback to design a control system for a motor. I first designed a deadbeat controller, which was pretty easy. But now I have to design another controller using root locus methods. The gain that is varied is located in the feedback loop as shown in the picture...