Cellulose Gel / Manufacturing. Microcrystalline cellulose (MCC) is derived from naturally occurring cellulose similar to that found in fruits and vegetables. From this natural source, FMC BioPolymer develops and customizes Avicel products, through various unique co-processing techniques.
The tangent plane at the point x=a, y=b is the plane that contains all the tangent vectors (at the point) of curves on the surface that pass through the point (a,b,f(a,b)). Another way to define it is to say that this is the plane through the point (a,b,f(a,b)) which is perpendicular to the NORMAL to the surface at that point. The NORMAL to the surface at a point is just defined as the direction perpendicular to all tangent vectors to the surface at that point. Therefore all we need to do to find the equation of the tangent plane is to find a normal to the surface at that point.
A tangent is a line that just touches a curve at one point, without cutting across it. Here is a tangent to an ellipse: Here is a cool thing: the tangent line has equal angles with the two lines going to each focus! Try bringing the two focus points together (so the ellipse is a circle) ... what do you notice? Section of a Cone. You can also get an ellipse when you slice through a cone (but not too steep a slice, or you get a parabola or hyperbola). In fact the ellipse is a conic section (a section of a cone) with an eccentricity between 0 and 1. Equation By placing an ellipse on an x-y graph (with its major axis on the x-axis and minor axis on the y-axis), the equation of the curve is: