differential equations, Mathematics

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Special forms of polynomial, Special Forms There are a number of nice s...

Special Forms There are a number of nice special forms of some polynomials which can make factoring easier for us on occasion. Following are the special forms. a 2 + 2ab +

Trignometry: sin-3x, sin(2x+x)=sin2x.cosx+cos2x.sinx              =2sinxco...

sin(2x+x)=sin2x.cosx+cos2x.sinx              =2sinxcosx.cosx+(-2sin^2x)sinx              =2sinxcos^2+sinx-2sin^3x             =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3

Limits, Limits The concept of a limit is fundamental in calculus....

Limits The concept of a limit is fundamental in calculus. Often, we are interested to know the behavior of f(x) as the independent variable x approaches some

Solve -10 cos(3t )= 7 on [-2, Solve -10 cos(3t )= 7 on [-2,5]. Solution...

Solve -10 cos(3t )= 7 on [-2,5]. Solution Let's first get the inverse cosine portion of this problem taken care of. cos(3 t )= -  7/10            ⇒     3t = cos -1 ( - 7

Functions of several variables - three dimensional space, Functions of Seve...

Functions of Several Variables - Three Dimensional Space In this part we want to go over a few of the basic ideas about functions of much more than one variable. Very first

Example of binomial distribution, Example:  Joanne is given a four-question...

Example:  Joanne is given a four-question multiple-choice quiz.  She hasnt studied the material to be quizzed, so she decides to answer the questions by randomly guessing the answe

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