I just mean in a general sense, obviously not to the extreme but just in general? If you eat salty foods do you start craving salty foods , more than you would if you didn't eat so much salt? Also, same questions wrt sugar? Is there a name or well known phrase for this idea and if so what is it...
Does everyone (that needs an A) always take calc I and II (and maybe III) before taking physics I and II? Is it really that difficult to do well in physics while taking calc at same time?
thanks for the answers and the latex tip for inverse functions.
Do inverse functions have some sort of relationship to derivatives and if so what is the relationship? (just in generality I mean) I know that derivative of fcn is the slope and that inverse of fcn reflects about x-axis, so do they...
Sorry for the confusion I didn't mean derivative at all I meant inverse. I was having probs trying to make latex show a superscript -1. (actually I still can't do it)
Is this normal? it doesn't seem correct.
The equation for the portion of circle with radius 1 unit in the 1st Quadrant is:
## y = f(x) = \sqrt{1-x^2} ## Domain is 0<x
But when I calculate f'(x) I also get
## f'(x) = \sqrt{1-x^2} ##
I thought inverse functions always reflect about y=x. Please...
None of these questions are homework problems, they're just confusing things that homework has caused
1. In math, what is the difference between a bracket and a parenthesis? Also what about the right symbols for ordered pairs , is that strictly these [ ] or these { }
2. If you have lots of...
Do you use two lines (of regular ruled paper) for a rational function?
FOr example, would you use two lines or one for the equation
## f(x) = (x^2-3) / x+2 ##
I can see three ways (in general) of writing this.
1) numerator and denominator each get one line
2) num and den are written smaller...
Thanks for the replies , ..believe it or not I actually meant to say f(2x) = (2x)2-3, I just overlooked where the bracket started.
thanks everyone for the help
Is Latex so that your math problems look readable, so they look like they are written in an actual textbook?
If this is what latex is for, how do I start learning latex? thanks
I want to make sure I am understanding the diff between 2f(x) and f(2x) using an example. So if, f(x) = x2 - 3, am I correct in saying that:
1) 2f(x) = 2(x2-3)?
and
2) f(2x) = 2x2-3? or should this be = (2x2)-3?
thanks
OK I am getting this now. I was making two strange assumptions: 1) that the function represented in fig 1.36 as y=f(x) is f(x) = x^2. (it can't be because the vertex is well below the origin) and 2) I was thinking parabolas can't have vertexes below x-axis because of the x^2, but obviously they...
When it shrinks or stretches does the vertex stay in the same place though? For example, does f(x) = x^2 and 2f(x) = x^2 have the same vertex coordinates? thanks
Sorry I am still not understanding and thanks for the reply. Its figure 1.36 that is giving me problem. For example, if y = f(x) = x^2, how would the new function 2f(x) = x^2 transform the function downward, as the graph is showing? I think I am assuming something wrong about the graph but I...