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Evaluate following.
√16 and
Solution
To evaluate these first we will convert them to exponent form and then evaluate that since we already know how to do that.
(a) These are together to make a point about the importance of the index in this notation. Let's take a look at both of these.
√16 = 16 1/2 = 4 because 42 = 16
Thus, the index is important. Different indexes will provide different evaluations so ensure that you don't drop the index unless it is a 2 (and therefore we're utilizing square roots).
Find the derivatives of the following functions a) y = 5x 4 +3x -1-x 3 b) y = (x+1) -1/2 c) y= e x2+1 d) y= e 3x lnx e) y =ln(x+1/x)y
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
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