Sunday, March 1, 2015

The Calculus of Y = 1 + X power 2

the calculus of Y equals One plus X power Two:

if we plot X, like west to east, and Y, like south to north, zero in the lower left corner, and plot the coordinates of X = 1 then Y = 2, and X = 2 then Y = 5, and then X = 3 then Y = 10, we discover a line could be drawn roughly linking these coordinates that resembles an increasingly northerly sloping graph.

obviously, the area if we consider that, depends on the line and its distance to the X axis, so one could say that, the rate of change of area depends on the line drawn. logically, to continue, the rate of change of the line depends on the gradient at any point on the line, which is, a line drawn as parallel to the graph as possible.

if we examine the graph at X = 1 and Y = 2 the gradient looks steep but is obviously going to become much more steep as X goes on. Y/X = 2 and this seems like the gradient depending on how the line is drawn. notice that, ignoring in the equation, 1, that if we multiply the power by X we could write dY/dX = 2X, and that, if X is still 1, that dY/dX = 2. is that the gradient of the line?

if we, so to speak, if you like, reverse engineer that, to examine, how to obtain the area under the graph and, call it integration, we discover that the equation could be like X + 1/3 X power 3. think about it thus, reduce the power, multiply by the power, ignore that without an X after it. and thus in reverse, call it integration. if we let X = 1 then the integral would be 1 + 1/3 which equals about 4/3 which seems about right too.

can anyone prove that there are 3 dimensions to space? even the Universe contains a virtual reality game concept. and i've imagined how that works. imagine turning right, the empty grid of the visuals in front of you shifting left and so on.

CLEARCHARGE

No comments:

Post a Comment