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the energy band formed by a series of energy levels having valence electrons is called as valence band at 0 k the electrons fulfill the energy levels
three dimensional spacesin this section we will start taking a much more detailed look at 3-d space or r3 this is a major topic for mathematics
normal 0 false false false en-in x-none x-none microsoftinternetexplorer4
provide the vector for each of the followinga the vector from 2 -7 0 - 1 - 3 - 5 b the vector from 1-3-5 - 2 - 7 0c the position vector for - 90
position vectorthere is one presentation of a vector that is unique in some way the presentation of the v a1a2a3 that begins at the point a
in two-dimension motion a body go in a plane eg a particle rolling in a circle a cricket ball caught by a fielder in the first case the body can go
extrema note as well that while we say an open interval around x c we mean that we can discover some interval a b not involving the endpoints
definition1 we say that fx consist an absolute or global maximum at x c if f x le f c for every x in the domain we are working on2 we
minimum and maximum values several applications in this chapter will revolve around minimum amp maximum values of a function whereas we can all
critical point of exponential functions and trig functionslets see some examples that dont just involve powers of xexample find out all the
critical point definition we say that x c is a critical point of function fx if f c exists amp if either of the given are truef prime c
two cars begin 500 miles apart car a is into the west of car b and begin driving to the east that means towards car b at 35 mph amp at the
vectors this is a quite short section we will be taking a concise look at vectors and a few of their properties we will require some of this
estimating the value of a seriesone more application of series is not actually an application of infinite series its much more an application of
fourier series - partial differential equationsone more application of series arises in the study of partial differential equations one of the
series solutions to differential equationshere now that we know how to illustrate function as power series we can now talk about at least some
application of rate changebrief set of examples concentrating on the rate of change application of derivatives is given in this
the real length of path traversed by a body in a sub interval of time is called as distance it is the real path travelled by an object among its
displacement - the modification in position of a body in a certain direction is known as displacement it is a vector function and its unit in si
motion of an object in a plane is called two dimensional 2-d motions for 2-d motion acceleration or velocity can be explained by two elements in
motion of an object in a straight line is called one dimensional motion the location of a particle in one dimensional motion can be explained by only
the part of mechanics which works with the explanation of the motion of an object without taking reason of the origin is known kinematics while the
important formulasd ab dx 0 important formulasd ab dx 0
differentiate y x xsolution weve illustrated two functions similar to this at this pointd xn dx nxn
interpretation of the second derivative now that weve discover some higher order derivatives we have to probably talk regarding an interpretation of