Approximate Definition and 174 Threads

Hello! I have the following formula - a*k1 + b*k2 + c*k3 = P This is a formula I'm trying to build. It will be used to calculate price of a specific good (P) according to criterions k1,k2,k3. Every k have its own value, that's why its being multiplied by coefficients a,b and c. I have a...

Homework Statement Use the differential dy or L to approximate cubed root 1.03 Homework Equations L(x)= f(a) +f'(a)(x-a) The Attempt at a Solution I have no clue how to start so that would be the most help, do i just find the derivative of cubed root 1.03 first?

[SOLVED] Approximate eigenvalues Homework Statement Use some QR method to approximate the eigenvalues of [4 3] [3 5] and compare with the actual values. The actual values are (9±√37)/2 Homework Equations A(0)=Q(0)R(0) A(1)=R(0)Q(0) A-α(0)I=Q(0)R(0) A(1)=R(0)Q(0) + α(0)I...

[SOLVED] Approximate eigenvalues Use some QR method to approximate the eigenvalues of [4 3] [3 5] and compare with the actual values. The actual values are (9±√37)/2

[SOLVED] particle in a box Homework Statement An electron moves with a speed of v = 10^{-4}c inside a one-dimensional box of length 48.5nm. The potential is infinite elsewhere. What is the approximate quantum number of the electron? Homework Equations E_{n} =...

Homework Statement Homework Equations So I know that there's an inverse relationship between the value of g and r; the farther I get away from earth, the weaker the gravitational force -> weaker acceleration... BUT I'm not sure how the (1-x)^-2 thing is related, need help with that...

(** underscores refer to subscripts) Consider inital value problem y'=2xy, y(0) = 1 Use Eulers Methos to estimate y(1) with 5 and 10 steps. for 5 steps, increments are by 0.2 for 10 steps, increments are by 0.1 y_n+1 = y_n + h f(t_n , y_n) where h is step size the answer to the...

Let be the series \sum_{p<N}e^{2\pi p ix}=f(x) where the sum is intended to be over all primes less or equal than a given N. My question is if there are approximate methods to evaluate this series for N big , since for a big prime the exponential sum is very oscillating would it be...

A new Hilbert-Polya (approximate) Operator??.. IN the Arxiv. they have put a paper on Hlbert-Polya conjecture..so the operator: H= -\frac{d^{2}}{dx^{2}}+V(x) :confused: Where the potential V is "constrained" to satisfy the (approximate ) INtegral equation...

the moon subtends an angle of 9.06 x 10^-3 radians amd os 3.84 x 10^8 meters from the earth. What is the approximate diameter of the moon. so i think it has something to do with formula R=S/theta but I'm not sure how to compare the moon and the Earth information to find the diameter of the...

Math help! I am home schooled and need some help with a few math problems that I have. These problems are the only thing holding me back from my diploma and i can't figure them out. Can I please get some help? 1. Using the "previous balance method", calculate the finance charge: Previous...

Use Simpson's Rule and all the data in the following table to estimate the value of the integral 2 S ydx -4 S=integral sign x -4 -3 -2 -1 0 1 2 y 0 -4 -8 -9 1 5 -7

Does anyone know a trick for finding "K" in the error bound equations for approximate integration? The approximate integrations we have learned so far are Midpoint Rule, Trapzoid Rule, and Simpson's Rule. Thank you.

"Show that for small values of x, the function (1+x)^(-1/2) may be approximated by 1-(1/2)x+(3/8)x^2 Hence obtain the approximate value of 1/root(1.01) to 4 decimals." im totally clueless. the example we have isn't well explained at all. can someone even just start me off...

Q: Approximate the minimum kinetic energy of an electron confined to a region the size of an atom (0.10 nm) How would one go about solving this? What equations/principles are involved and how do we use them? Seems like a simple question but i have no idea where to start? :confused...

I am supposed to find an approximation of this integral evaluated between the limits 0 and 1 using a taylor expansion for cos x: \int \frac{1 - cos x}{x}dx and given cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!}... i should get a simple series similar to this for...

There exist such a formula for large x: \arctan(x)\approx \pi/2-1/x+1/3x^3... I can't understand how it is derived. I tried to get it from Taylor series (for x -> infinity) and understood that here is something different. Can someone help me? Thank you

Hi Guys, Is there any whay I can use the following theorem to approximate the value of e^x at x=0? f(x) = f(a) + f'(a)(x - a) + \frac{f''(a)}{2!}(x - a)^2 + ... If the above function is not used for approximation, then what is it used to do? Thanks heaps :smile: :smile: :smile:

How do I approximate the intergral of e^{-x^2} over some interval?

I am thinking of applying to MIT as a transfer (I know, slim chance). But I am concerned about the amount of coursework; does anyone (perhaps who goes to MIT?) know just how much time it takes? I'm looking for approximate hours per week; I already know it's "a lot."

I have two similar problems. I need to show that 1. \frac{1}{2} \left( T_n + M_n \right) = T_{2n} 2. \frac{1}{3} T_n + \frac{2}{3} M_n = S_{2n} where: T is the Trapezoidal rule. M is the Midpoint rule. S is Simpson's rule. This is what I've got: T_n =...

Coefficient of Friction and Spring constant What would the approximate value of (kinetic, and if possible, static) friction be for a block of wood of this nature: \\Attachment 1 and 2 And how about the 'k' value for these springs? How would i go about calculating this sort of problem when...

I think I got pretty close to the answer to this problem. However, I just can't obtain the right approximation at the end. Please, help me find where I made a mistake. Thanks. -------------------------------------------------------------- Use a power series to approximate the definite...

Does anyone know what would be the approximate orbital period (time for one complete orbit) for an apple placed in orbit around Earth at the moon’s distance from Earth?