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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...

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...

First you must figure out your estimates, in this case you can round 2162 down to 2000 and 12.37 to 10 to make your solutions easier. First you must calculate the total number of hours it is going to take...

There are 2 methods used for finding the gradient of a line in 2D space, depending on whether it is a straight line or a curve.
To find the gradient a straight line you must first take the equation ...