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Using the Factor Theorem, we know that (2x + 1) = 2(x + 1/2) = 2(x - (-1/2) ) is a factor of p(x) if and only if p(-1/2) = 0, which is true. Now that we know a factor of ...

let f(x)=sin x f'(x) lim h-> 0 = ( sin(x+h) - sin(x))/h. f'(x) lim h-> 0 =( sin(x)cos(h) + cos(x)sin(h) - sin(x))/ h. f'(x) lim h-> 0=(sin(x)(cos(h)-1)/h + cos(x) (sin(h))/h. then as h tends to z...

In the play 'Hamlet', the main father-son bond we become enthralled in is that of Hamlet and his father. Unmistakably, their bond is powerful; it is this bond which led to Hamlet's plot for revenge. In or...

Wilhelm Wundt, "the founding father" of psychology was the first to clarify the difference between physiology and psychology ; psychology being the study of conscious experience. Wundt believed...

Our first step should always be to make sure we understand what the question actually wants from us, in the case of most polynomial questions a rough sketch with any information we know is very useful. Fi...