Math equation Definition and 24 Threads

Hi all, I want to know if a second solution exists for the following math equation: Ce^{At} ρ_p+(CA)^{−1} (e^{At}−I)B=0 Where C, ρ_p, A and B are constant matrices, 't' is scalar variable. I know that atleast one solution i.e. 〖t=θ〗_1 exists, but I want a method to determine if there is...

I don't understand the extra - in the second part of the equation, before the 2. From my understanding, the squaring of the first part of the first equation is so that the equations consist of magnitudes. I'm just not quite sure where the negative came from. If I had to guess, it would be, w...

Summary:: Question: a car of mass 800kg, 3600N driving force experiences resistive forces of 120v Accelerates from rest. Form equation and show max speed is 30 ms^-1, assuming driving force does not change. my attempt at a solution -I can not see how to rectify it as I don’t think I did...

Okay so I recently found out that in official canon, the Galactic Republic of Star Wars was founded 25,000 years before the first original movie. Hyperdrives were presumably invented around 25,000 BBY. By the time of the Phantom Menace which is in the year 32 BBY, Technology has stayed basically...

Homework Statement: what is the mathematical explanation for fresnel lenses Homework Equations: No equations were provided I'm going to post a link to one article I found that I think has the answer, but I couldn't understand because of my lack of knowledge in physics and math...

I posted this link a couple years ago, but just in case you need to draw a Christmas Tree: https://tex.stackexchange.com/questions/39149/how-can-we-draw-a-christmas-tree-with-decorations-using-tikz There are a lot of interesting variations posted, maybe PF could have our own contest! Here's...

Hi I’m looking for someone who could help me with this little problem of mine... My sister studies math at a university she is on her 3rd year and her birthday is coming up i would like to make her a Tshirt with a print that says “I am (long mathe equation) years old... so i need a math equation...

Homework Statement $$\log_2 \sqrt{2x-1} < \log_4 x$$ Homework EquationsThe Attempt at a Solution $$\log_2 \sqrt{2x-1} < \log_4 x$$ $$\log_2 {2x-1}^{1/2} < \log_2 \sqrt{x}$$ $$1/2 \log_2 {(2x-1)} - \log_2 \sqrt{x} < 0$$ $$ 1/2 \log_2 {\frac{(2x-1)}{ x}} < 0$$ $$ -1/2 \log_2 {(2x-1) x} < 0$$...

Homework Statement cos2x + cos x = 0 (0 <= x <= 360) Homework EquationsThe Attempt at a Solution cos2x + cos x = 0 2cos(3x)/2 cos(x)/2 = 0 3x/2 = 90 degrees x = 60 degrees x/2 = 90 x = 180 3x/2 = 270 x = 180 x/2 = 270 x = 540 (not qualified) is there any more possibility (answers) for x?

Homework Statement Homework EquationsThe Attempt at a Solution 2x - 1 >= 0 x >= 1/2 x - 2 >= 0 x >= 2 for x <1/2 then 2x - 1 and x - 2 are negative solve : -(2x-1) - (x-2) = 2 -3x + 3 = 2 x = 1/3 for 1/2 <= x < 2 the (2x - 1) positive, (x-2) negative solve : 2x -1 -x + 2 = 2 x = 1 for...

Homework Statement my book shows: (-1/(1-((b+acosx)/(a+bcosx))^2)^1/2) * ((a+bcosx)(-asinx)-(b+acosx)(-bsinx))/(a+bcosx)^2 = (a^2+b^2cos^2(x)-b^2-a^2cos^2(x))^(-1/2) * ((a^2-b^2)sinx/(| a+bcosx |)) I'm having a hard time understanding how they did this.

What software is used to create a text editor, math graph, and math equation such as below image? It seems the math graph is a vector illustration (not pixel), the math equation is not Latex, and they are integrated with the text editor. What software to create such as book?

Homework Statement Solve for A 27 = 81/√3a-3 Homework Equations The Attempt at a Solution Im not sure where to begin with this question. Can someone go through all the steps into solving for A. Thanks

studying for my test, I have a truss joint equation with 2 variables ƩFx = 0 : 4/15 (15kN) - 10/10.44(Fbd) - 4/5(Fbe) = 0 12 = .957(Fbd) + .8(Fbe) ƩFy= 0 : 3/5 (15kN) - 6kN - 3/10.44(Fbd) + 3/5(Fbe) = 0 6 = 9 -.287(Fbd) + .6(Fbe) -3 = .287(Fbd) + .6(Fbe) this is where I'm...

I want to enclose my final equation inside a box but i find no way to do that in latex. please help me out as soon as possible. Thanks!

Homework Statement How would I solve for L in this expression: sintheta=L/sq.rt(x^2+L^2) ? Homework Equations sintheta=L/sq.rt(x^2+L^2) ? The Attempt at a Solution and if they have the same angle between them would solving for L create an equal answer using...

Homework Statement http://img411.imageshack.us/img411/6141/48919675.jpg http://img444.imageshack.us/img444/5839/55504929.jpg [PLAIN]http://img574.imageshack.us/img574/2935/26916604.jpg [PLAIN][PLAIN]http://img560.imageshack.us/img560/189/87892973.jpg...

Greetings, Would anyone happen to have any clue as to what equation or what sort of math this is? Thanks

Hi, I wish to do math equations electronically. Can someone help me to find a good software? I heard there is such a thing called latex. Where can I find it? Thanks

Hey guys i have been attempting this problem for days. If you can help me with it and explain how to solve it, I would be extremely grateful. I wrote my answer on the right. Thanks!

I've already done the Physics part, but now I am stuck with the equation 2h = vt + gt^2 It's just a variable problem, so no numbers are involved, just variables. Now I just need help solving for t.

hi, I've been searching around the site and found it pretty useful but I'm having a pretty tough time with a few questions i have its pretty much the same as This but the coefficient values are different, the problem I'm having is with the coefficients for the bends, could someone please...

I am getting this tattoo on my leg: e^{i \pi} = -1 What do you guys think?

One mathematical sum is harassing me since a few days the problem is;:- a^2+b^2=25 and a^3+b^3=91. find the value of a and b. Now here we cannot take that into consoderation that as a^2+b^2=25 , a=3 and b=4. But we have to find the answer without any assumtions.May i please get the...