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HOW MATHEMATICAL IDEAS GROW : In this section we shall consider three aspects of the nature of mathematical ideas, namely, that they progress from concrete to abstract, from particular to general, and they form hierarchical structures. You may say that these three aspects can be seen in all human pursuit of knowledge. We shall examine them in the context of mathematics, and try and see how basic, crucial and important they are to mathematics.
Classifying critical points : Let's classify critical points as relative maximums, relative minimums or neither minimums or maximums. Fermat's Theorem told us that all relative
Interpretation of r - Problems in interpreting r values A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that th
1. If the equation has any fractions employ the least common denominator to apparent the fractions. We will do this through multiplying both sides of the equation by the LCD. Al
solving sums
Example1 : Solve the subsequent system of equations. -2x 1 + x 2 - x 3 = 4 x 1 + 2x 2 + 3x 3 = 13 3x 1 + x 3 = -1 Solution The initial step is to write d
Consider the regression model Y i = a + bX i + u i , where the X i are non-stochastic and the u i are independently and identically distributed with E[u i ] = 0 and va
Mike can jog 6.5 miles per hour. At this rate, how many miles will he jog in 30 minutes? Thirty minutes is half an hour. Thus, divide the number of miles Mike can jog in one ho
Here we look at only the rules without going into their proofs. They are: a 0. If a If a If a
i find paper that has sam my homework which i need it, in you website , is that mean you have already the solution of that ?
A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 hour?
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