Thank you very much Buhrok and Ray Vickson...
Buhrok...You're right! I mixed up the positive sign again!
Ray Vickson...Does that argument always work? Even if a stationary point is a saddle point?
Thank you Buhrok... Appreciate your answer.
I fully understand and get the algebra needed to do this transformation, but how would you even suspect/guess/know to do to this? You would need to suspect that f(x) = \sqrt{1 - x} + \sqrt{3 - x} COULD have symmetry to start?
Thanks tiny-tim... I fixed it.
But I still don't see how to calculate x = 1 as a line of symmetry?
I put x = L + d
and x = L - d
already into f(x) in my original post? Or am I missing something...
Hi.
Question: Sketch f(x) = \sqrt{1 - x} + \sqrt{3 + x}
On this test question from calculus, I got full marks for my answer. But I'm posting in this forum because I'd like to know how to analyze the symmetry of this function (posted below), which I actually didn't notice until I read the...
Homework Statement
Please see below...
Homework Equations
Please see below...
The Attempt at a Solution
Hi. This question is on geometry with circle and triangle. I am stuck only on 2 parts of the solution and not the whole solution...
Thank you...
Hi omkar13. Thanks so much for your answer.
Now I feel like an idiot...how did you see to expand the RHS of the given eq.?
Somehow I didn't see it...I thought there was something harder going on...
Hi. I posted this in the Homework question but after 152 views with no right answer, my question looks analytical and rigorous enough to be posted here.
Thank you...
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I am asking about part iv).
[PLAIN]http://img715.imageshack.us/img715/7977/113ivb.jpg
Attempt at a solution...
Homework Statement
I am asking about part iv).
[PLAIN]http://img715.imageshack.us/img715/7977/113ivb.jpg
Homework Equations
I guess they would be the ones in the earlier parts...
The Attempt at a Solution
In the given fact, I think x^3 - x - m(x - a) distance from the...
Hi SammyS. Thanks for your answer.
But I don't understand your answer either
Generally, I have trouble relating intersection of y = sin x and y = cx to graph of y = \frac{sin x}{x} and y = c. But I understand sin x = cx means \frac{sin x}{x} = c .
Homework Statement
Hi. I post part A too but I'm having trouble only with Part B.
Question.[PLAIN]http://img100.imageshack.us/img100/8297/20104ivwhytangenttoseco.png
Homework Equations
I know...
y = sin x and y = cx intersects when ...
sin x = cx so \frac{sin x}{x} = c...
Hi gb7nash. Thank you so much for your answers.
So again, just to make sure, for only one real root, then
only y2 = \frac{1}{2}(3 + \sqrt{9 + 4k} is a solution
so only y2 = 3x.
y1 = \frac{1}{2}(3 - \sqrt{9 + 4k} is NOT a solution. I just want to make sure because I was...