Solving equations Definition and 75 Threads

Homework Statement I read that the Newton method for finding roots of an equation doesn't always work. How do I know whether it works or not for a given equation? Homework Equations The Attempt at a Solution For an example, consider: f(x) = 1/(x2-1)+1/(x2-4) - x-1 When I...

Homework Statement Find the equation of the plane which contains the line: (x,y,z) = (3,3,-3) + t(0,-3,-3) and is parallel to the line: (x,y,z) = (4,2,0) + t (3,-2,1) Write your answer in the form 2 x + B y + C z = D, and give the values of B, C and D as your answer Homework...

Hi All, I am having trouble solving an equation for X because the equation has summations of the X value to a power. Can anybody help me find the best way to solve this type of equation. I have included a simple example of what I mean below: 20 E {const/[(1+X)^t]} = const t=4...

I am given 2 equations (for a calculus problem)... y(x2 +4)=5 and x2 +y2 -2y=0. I know how to solve for y in terms of x for the first equation, but I am seriously stumped on how to get passed: y2 -2y=-x2

"Solving Equations by Factoring" - Find the length of the hypotenuse Homework Statement One leg of a right triangle is 2 feet more than twice the other leg. The hypotenuse is 1 foot more than the longer leg. Find the length of the hypotenuse of the right triangle. * I am not sure how to...

I know how the algorithm can be used to find a solution to an equation of the form Ax - By = 1 where A and B are given. I also know that there is more than one solution to this. how are the others found. for example: for 17x-11y=1 17=11+6 11=6+5 6=5+1 then reversing to get the...

Given that A^-1 , B^-1 and C^-1 exist, solve the following equations for X: a)AX=C b)AXB=C c)BXA=C+B d)XABC=D plse help...

Hi Im trying to make an equation for a projectiles path, but this is only over a very short distance, so the projectiles curve aren't taken into account. I am including the air resistance. This is what i have done: m*dv/dt=-k*v2 Differential: dv/v2=-k*dt integrated: -1/v=-k*t+C when: t=0 og...

Hello there, I am having a lot of trouble solving a question with which I cannot even begin, I have tried making 2 equations and equation, but I just end up with some number = 0, which is of course wrong, here is the question. QUESTION A stone is dropped from the top of a tower. One second...

Homework Statement http://img205.imageshack.us/img205/3065/81913554uq8.png Homework Equations http://img236.imageshack.us/img236/7978/54438604he4.png The Attempt at a Solution I think it is crucial that [itex] ||x||_1=1[/tex] but I don't see how I can use that info. Can someone...

For example, let's say that f(x) = e^(-9t) Once I've found the second derivative, I equate it to zero in order to determine concavity, but I don't know how to solve it after that :rolleyes: I'm just having a hard time solving with the ln or whatever you have to do..:confused:

Suppose you are solving equations in the interval 0<=xx<=2pi...Without actually solving equations, what is the difference between the number of solutions of sinx=1 and sin2x=1? How do you account for this difference

Homework Statement Prove or disprove: 1)If a and b are real constants and 0<a<1 then the equation x - a*cosx = b has only one solution. 2)Between every two solutions to arctanx = sinx there's atleast one solution to 1 - cosx = x^2 cosx Homework Equations The Attempt at a Solution...

How do i know when to take the ln of both sides to solve an equation for example would i for y=10^(1-x)-(1-x)^10

please help in mathematica hello everyone. i am very new on mathematica.I have 2 problem :( at first, i have to eavluate the numerical equivalent of tan(45/Pi+Pi/45) when i wrote on mathematica like this: In[21]:= Tan[45/Pi+Pi/45] Out[21]= \!\(Tan[45\/π + π\/45]\) it gives me...

Find a solution to the equation if possible. Give the answer in exact form and in decimal form. 1 = 8cos(2x + 1) - 3 1 = 8tan(2x + 1) - 3 I don't know how to do this one.. but I know how to do the simpler ones like.. 2 = 5sin(3x) 2/5 = sin(3x) (sin-1(2/5)) / 3 = 0.137172 Those...

hi everyone! I am new to this site and hope you can help me out a little :) This is a homework question but am unsure how to do these types of equations y = - x + 5 y = x² - 16 x + 59 x= and y= or x= and y= could someone tell me how you go about doing these equations? Thanks

Hi, can someone check/fix my errors in the following question? Q. Consider the equations u = x^3 + 2xy + y^2, v = x^2 + y (i) Show that these equations can be solved locally for x and y as C^1 functions of u and v near the point where x = 1, y = 1, u = 4, v = 2. (ii) Find...

I'm having trouble wrapping my head around problems without any given number values. All of the book problems I've done so far have had number values for position or velocity etc and those fit nicely into equations that could be solved for other variables. I was recently given a set of sample...

I'm trying to use the solver in Excel to solve a set of two equations, but I can't figure out how it works. Can someone give me a step by step description?

How would I solve this equation: 3(x-3) + 4x+7= 5x-3 And How would I solve these Quadratic Equation: x^2 + 7x + 12 = 0 3x^2 - 10x + 8 = 0 8y^2 + 18y = 5 = 0 Thanks.

I am having some problems with equations for a problem. The problem isn't really a question, it's more of finding equations to make something work. Basically, It is a graph on Microsoft Excel, that resembles a 2D track. The track has variable points that you can change, to increase height...

Hi... I'm new... I was having problem with these questions: (a^3 x b)^2 (-a/b)^3 I ended up with a^-9(b)... is that wrong or right? and (x/-y)^3 (-xy)^4 I got up to (-x^7 y^4 )/ -y^3 I don't know what to do here. Thanks!

how would i solve X=(Y+Z/N)^N?

How can we solve an equation such as xy-yx = 1 without guessing?