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Differentials : In this section we will introduce a notation. We will also look at an application of this new notation.
Given a function y = f ( x ) we call dy & dx differentials and the relationship among them is specified by,
dy = f ′ ( x ) dx
Note as well that if we are just given f (x) then the differentials are df & dx and we calculate them in the similar manner.
df = f ′ ( x ) dx
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solving sums
Example Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2. 8a + 5bc = 8.2
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Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b. (a) Write down the matrix of R. (b) Draw the digraph of R. (c) Explain whether R is reflexive, irrere
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