Quadratic Definition and 990 Threads

I'm not sure how you apply the rules of a derivative on a quadratic form. I've been trying to find the solution on google but no luck: Basicallly: J=\frac{1}{2} (z-X \theta)^T (z-X \theta) and \frac{ \partial J}{\partial \theta}= -X^T z +X^TX\theta I can't for the life of me...

Homework Statement A sphere of radius 0.2 cm is fired straight up with speed v0. What is its speed when it hits the ground? (Include quadratic air resistance but ignore linear air resistance.)Homework Equations Quadratic air resistance: FR = cv2 c = 0.5CpA = 4.05 x 10-6The Attempt at a...

Homework Statement Let F(x, y, z) be a quadratic form and A its associated matrix. The inertia of A, denoted in(A), is defined as the triple in(A) = (n1, n2, n3) where n1, n2, n3 denotes the number of positive, negative, and zero eigenvalues of A respectively. Prove the following: If...

Homework Statement Classify the quadratic surface: 2x^2 + 4y^2 - 5z^2 + 3xy - 2xz + 4yz = 2 Homework Equations A quadratic form is a second degree polynomial equation in three variables which has the form F(x,y,z) = ax^2 + by^2 + cz^2 + 2dxy + 2exz + 2fyz where coefficients a...

Homework Statement Let the quadratic form F(x,y,z) be given as F(x,y,z) = 2x^2 + 3y^2 + 5z^2 - xy -xz - yz. Find the transitional matrix that would transform this form to a diagonal form. Homework Equations A quadratic form is a second degree polynomial equation in three...

An object accelerates at the rate of 1.30 m/s^2 over a displacement of 11.8m, reaching a final velocity of 7.00 m/s. For what length of time was it accelerating? Explain the answers. NOTE: Actually, when I first was about to post this, I finally had gotten the answer I needed. However, I cannot...

Okay, this is something that's been bugging me for a while. A lot of the polynomials with higher powers can't be solved using algebraic methods and must be estimated. So my idea was to take these answers and find a way to convert them into an exact form, such as quadratic irrationals/surds...

I seem to have forgotten the rule to find a Turning point in a quadratic graph. Can anyone help me?

Let P^ + ,P^ - ,I,Q \in R^{n\times n}, K\in R^{n\times 1}, M\in R^{1 \times n}, and assume that Q is positive definite, P^ - is positive semidefinite whence (MP^ - M^T + Q)^{ - 1} exists (where T denotes transpose). In what sense does K = P^ - M^T(MP^ - M^T + Q)^{ - 1} minimize the quadratic...

Hello PF, Ok so here is my problem. I have an array of data points which are the chi^2 values for a fit I have performed. I wish to calculate the 1-sigma error for this fit, so I figure I could find the lowest chi^2 value, and the two points either side that value, and fit a quadratic...

Homework Statement It Costs a bus company $225 to run a minibus on a ski trip, plus $30 per passenger. the bus has seating for 22 passengers, and the company charges $60 per fare if the bus is full. For each empty seat, the company has to increase ticket price by $5. How many empty seats...

Homework Statement A company sells running shoes to dealers at a rate f $40 per pair if fewer than 50 pairs are ordered. If a dealer orders 50 or more pairs (up to 600), the price per pair is reduced at a rate of 4 cents times the number ordered. What size order will produce the maximum...

Homework Statement A light bulb is wired in series with a 144Ohm resistor, and they are connected across a 120.0-V source. The power delivered to the light bulb is 23.4W. What is ther resistance of the light bulb? Note that there are two possible answers. Homework Equations P = I^2R...

[b]1. A farmer grows orange trees. He has 20 trees/hectare with 300 oranges/tree. When adding another tree to a hectare, the amount of oranges decreases by ten. What is the max yield of trees. (They want to know how many trees they should have in a hectare to maximize their orange production.)...

[b]1. Suppose y = bx^2 +cx + a a.) in terms of a, b, and c, what values of x make y=0? b.) if a=3.1, b= -2.2 and c=-4.3 evaluate those solutions to 3 significant digits: Homework Equations [b]3. I am not really sure how to solve for what the question is asking for in part...

Homework Statement Identify the vertex and x-intercept(s) of the quadratic function algebraically. Homework Equations f(x) = 1/2x^2 - 4 1/2 Is the coefficent if its not clear. The Attempt at a Solution Ok I do not need help finding the vertex I have already got that, I...

Homework Statement I have a probability distribution function (PDF) going fromi 0 to a on the y-axis and 0 to 30 on the x-axis. The function describing the PDF is the quadratic equation f(x) = a+bx+cx^2 I have to find a, b, and c. Homework Equations The Attempt at a Solution...

Hi all, I need to construct the Casimir op. of group SU(3). I have these relations; T2=\sum C_{i}_{j}T_{i}T_{j} i,j=1,2...,8 ...eq1 [Ti , Tj]= \sum f_{i,j,k} T_{k} ...eq2 [T2 , Ti]=[\sum C_{i}_{j}T_{i}T_{j} , Ts]=\sum C_{i}_{j}T_{i}[T_{j}, T_{s}] + \sum C_{i}_{j}[T_{i}...

Homework Statement Y(s)=(s^2+s-6)/(s^2-2s+5) The Attempt at a Solution I tried splitting up the bottom into the form (s-1)^2+4, but I can't get the top to factor correctly to make that work. I'm not sure where to go from here, since I can't do partial fractions with the top and bottom...

k so i used x-xo= Vo t + 1/2 at^2 plugged in all my values then moved everything to one side and used the quadratic formula here is my question. when i solve for it i get t=40.28 and t= 40.58 So which t is my time?

Q- A number is a quadratic residue modulo m if it takes the form x^{2} mod m for some integer x. List the quadratic residues modulo 3, 4, 5, and 7. What patterns, if any, do you notice? modulo 7 0^2=0, 1^{2}=1, 2^{2}=4, 3^{2}=2, 4^{2}=2, 5^{2}=4, 6^{2}=1 modulo 5 0^2=0, 1^{2}=1, 2^{2}=4...

the curve points are: a) (25, 43) b) (28, 46) c) (32, 47) d) (35, 45) would i use y=mx+b i think that's a straight line

Quadratic equation without numbers?? How would one go about solving an equation such as B2X2+2ABCX-ABC2 for the value of x that equals zero? All of the letters are constants except for X, so would this be a quadratic equation problem.? The solution in the book is somehow...

how do you calculate the equation of a quadratic curve. A straight line curve uses y-y1=m(x-x1) is i an alteration of this line? cheers

1. Consider the quadratic equation ax^2+px+aq+q=0 where a does not equal to zero & p and q are constants . It is known that one of the roots of the quadratic equation is always 1 regardless of the value of a. Prove that p+q=0 [b]3. I have tried to factorize it and it became x(ax+p)+q(a+1)=0...

Can a quadratic form always be diagonalised by a rotation?? Thx in advance

Homework Statement At the end of a much longer problem, I'm asked to find a second height that will satisfy a formula found for a height in the first part of the problem where:Homework Equations h1(h2-h1)=h3(h2-h3)The Attempt at a Solution I know the answer I should get: h3=h2-h1 But I cannot...

Homework Statement 2 cos x + tan x = sec x Homework Equations I can move terms around with identities, but I'm stuck with the partially solved equation below. I don't know how to solve a quadratic with weird terms. I got really far. But how do I show sin x? sin x = (-1 +- sqrt...

Quadratic function...help! Hi I have an exam (next week) on quadratic functions! (10th grade) Any online websites where I can practice?I need problematic situations(there's a problem - you analyze - calculate stuff,etc)... By the way, I'm studying in a FRENCH HIGH SCHOOL, therefore the...

I am currently studying the Mandelbrot set, and have a question about one of the statements on http://mathworld.wolfram.com/QuadraticMap.html" . It says the recurrence for the Mandelbrot set "is not in general solvable in closed form." What does this mean?

For an odd prime number p let Fp be the field with p elements, ie. the integers {0...,p-1} with addition and multiplication defined modulo p. How many quadratic forms are there on the vector space Fp^n I don even know how to start this question

Hi there! I need a little help from your side. Could you give me an example of a quadratic number in Z3 there is a lemma, that says there are exactly two quadratic numbers there, but I somehow cannot figue out how to find them :( I know that there are 3 equivalence classes there: [0]...

Homework Statement I just need some guidance regarding how to work out the value of x in the quadratic equation. I don't want you guys to do the work for me, I just want to know how to figure it out. Thanks Homework Equations The Attempt at a Solution

Homework Statement Homework Equations \lim(\frac{(x^2)-2x-3}{(x^2)+5x+6}) x->(-2) The Attempt at a Solution anyone can help out on this one?

Homework Statement A particle that can move in one dimension and that is in a stationary state, is bound by a potential V(x) = (1/2)kx^2. The wave function is \Psi(x,t) = \psi(x)exp(-iEt/\hbar) We look at a state in which \psi(x) = Aexp(-x^2/2a^2a^2), where a is a constant and A is the...

Homework Statement In the attached diagram, the displacement of a follower (y) changes as the angle of the cam changes (\vartheta). The follwer has a smooth velocity over the entire path. Therefore, the velocity must match on both sides of the four points noted on the graph. If we assume...

Here is what I know: 1) All quadratic curves of 2 variables correspond to a conic section. ax^2 + 2bxy +cy^2 + 2dx + 2fy + g = 0 a, b, c are not all 0 2) The definitions of parabola (in terms of a directrix and focus), ellipse (in terms of 2 foci), hyperbola (in terms of directrix and...

P = 87x - 700 -x^2 1. Draw a graph of P against x and estimate the maximum value of P and also calculate the coordinates of the stationary point and verify if it is maximum. I am not very good at graph drawing or stationary points... any help people?

Hey I'm wondering if anyone can give me a proof to the quadratic equation solution which is not the simple add here multiply that proof (I just recall some cooler proof, which I think requires more "complicated" mathematics than adding and multiplying, though I can't remember what it was)

Homework Statement lxl <2 lx+2l The question is asking to solve this Homework Equations The Attempt at a Solution Ive tried bringint the 2 over which leads me to l-x-4l over lx +2l < 0 but then the absolute value confuses the heck out of me on where to go...

SOLVED Homework Statement While going through a question, I came across a function f(x)=5^{x}+5^{-x} I saw its graph through a software. It was a parabola with minimum value 2. Now a question arises in my mind. Every function of the type g(x)=ax^{2}+bx+c is a parabola. Can I assume...

I have to find a system of linear equations to determine a quadratic polynomial p(x) = ax2+bx+c Given the conditions: p(1) = f(1) p'(1) = f'(1) p''(1) = f''(1) where f(x) = xex-1 I know: p(x) = ax2+bx+c p'(x) = 2ax +b p''(x) = 2x f(x) = xex-1 f'(x) = ex-1 +...

I just happened to read two papers that pretend that the quadratic divergence of the Higgs mass is not a problem. The first is "Vacuum energy: Quantum Hydrodynamics vs Quantum Gravity" http://arxiv.org/abs/gr-qc/0505104 (Update: this is now the correct paper from arxiv) where Volovik says that...

X^2(2a – bX^2) = 2 value of constants can be pre-determined as a =0.8466 & b= 0.1733. Find X?

I'm fine solving DE with a reducible quadratic, but what happens when the quadratic is irreducible, how would I go about solving the DE? So for example, \frac{dP}{dt}=-P^{2}+10P-26 Thanks in advance.

I got into college as a mature student and I'm doing well in all subjects except for math. I'm struggling a good bit because I never finished high school math and there's a lot of stuff they assume everyone knows but I don't. I have to study it at home so I can keep up. Its mainly quadratic...

HI Can anybody tell me how to calculate a PDF of y, where y is a function of x, such that y = a X*X + bX + C (i.e. a quadratic equation), and X follows the Normal Distribution X ~N(0, sigma) Help anybody? Thanks

Homework Statement Consider ax''+bx'+cx=0 for b^2-4ac=0 with k= -b/(2a). Show x=e^(kt) is a solution. The Attempt at a Solution x=e^(kt) x'=(-b/2a)e^((-b/2a)t) x''=(-b^2/4a^2)e^((-b/2a)t) Then i plugged these into ax''+bx'+cx=0 and simplified to get e^((-b/2a)t)(-((b^2)/2)+c)=0...

here is my task: (x³-4x²+5x-2):(x-1)= We did such task in school but I didn't got it .. Here is the task that we did in school (x³-3x²-6x+8) :(x-1)= x²- 2x-8 but I don`t get it why x² is the result and why 3x² ?? Can someone help me? Thank you in advance

I have a problem with this question: let q : V -> R is quadratic form and suppose T = {v|q(v) \geq 0} is subspace of V. prove that q is indefinite. Thanks in advance.