Thanks so much for your help! I graphed that, and since you solved to equation for 0 then turned 0 into y I looked for the x intercept of the graph and the value fit, thank you so much!
But just for the sake of knowing, how can you guys tell if an equation has no closed form solution?
Hmmm Alright. So I now have
7=a cosh(\frac{4}{a})+a
I guess I would move a over and divide by a to get
\frac{7-a}{a}=cosh(\frac{4}{a})
Now I don't know what to do. Is there some property of cosh in which I can pull something out or split something? We just started hyperbolic functions and...
Homework Statement
Solve for a
7=\frac{a}{2}(e^\frac{4}{a} + e^\frac{-4}{a}) + a
Homework Equations
7=\frac{a}{2}(e^\frac{4}{a} + e^\frac{-4}{a}) + a
The Attempt at a Solution
7=\frac{a}{2}(e^\frac{4}{a} + e^\frac{-4}{a}) + a
multiply by 2 on both sides
14=a(e^\frac{4}{a} +...
Homework Statement
I need to fit a curve using cosh to a hyperbola with a vertex of (0,0) and a point at (4,7).
The scanned worksheet can be found here
http://img519.imageshack.us/i/scan0001gu.jpg/"
http://img192.imageshack.us/i/scan0002uz.jpg/"
Homework Equations
y=a cosh...
Hello All,
I was wondering, in the combined gass law \frac{p_{1}V_{1}}{T_{1}}=\frac{p_{2}V_{2}}{T_{2}} Does T_{1} and T_{2} have to be in kelvins, or can they be any other unit of temperature as long as a consistency of units is used?
Thanks
Homework Statement
How do I separate a mixture of Silver Nitrate and Sand and loose as little silver nitrate as possible.
Homework Equations
N/A
The Attempt at a Solution
I know silver nitrate is water soluble, so I was going to dissolve all the silver nitrate and then filter out...
I'm currently using x for the various heights, with the top Isosceles triangle heights being x and the bottom trapezoid being 10-x, since the hight of the total large triangle that contains everything is ten. But that's what I have so far, what should I do about the bases of the various figures?
Homework Statement
Take an Isosceles triangle with a height of 10 and draw a line parallel to the base. How far from the top of the triangle does the drawn line have to be for the top half's area to equal the bottom half's area.
Homework Equations
The area of a triangle...
Tiny Tim,
What do you mean convert y1+y2 into x1+x2?
Like this x_{1}+x_{2}=y_{1}+y_{2}
Or plug the equation of a parabola into the y1+y2?
Which would yield y=8x^{2}+14x-2, who's zeros are x=\frac{1}{8}(-7-\sqrt{65}) and x=\frac{1}{8}(\sqrt{65}-7).
Are these the x values of either points?
Homework Statement
Two points are located on the graph y=4x^{2}+7x-1. A line drawn between these two points have a mid-point at (0,0). Find these two points.
Homework Equations
The midpoint formula (x_{m},y_{m})=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})
The Attempt at a...
Hi All,
I was wondering about some equations/formulae related to Fusion. How much energy/what temperature does it take to initiate Fusion? And how is this amount of energy affected by the different element/isotopes used, pressure, magnetic attraction and other variables?
Thanks in advanced.