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We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f
Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients. Assume that we have the two functions f ( x ) = x 3 and g ( x ) = x 6 .
program sample for proportion
A parcel of land, value $250,000 is sold to an investor who signs a contract agreeing to pay a deposit of $25,000 followed by equal quarterly payments for as long as necessary, wit
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 part
In the earlier section we looked at first order differential equations. In this section we will move on to second order differential equations. Just as we did in the previous secti
In her last gymnastics competition Keri scored a 5.6 on the floor exercise, 5.85 on the vault, and 5.90 on the balance beam. What was Keri's total score? Keri's three scores re
Evaluate following limits. Solution In this case we also contain a 0/0 indeterminate form and if we were actually good at factoring we could factor the numerator & den
Calculate the Probability A bag contains 80 balls of such 20 are red, 25 are blue and 35 are white. A ball is picked at random what is the probability that the ball picked is
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
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