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Applications of derivatives : At last, let's not forget about our applications of derivatives. Example Assume that the amount of air in a balloon at any time t is specified
how can you memorise you times facts
x 4 - 25 There is no greatest common factor here. Though, notice that it is the difference of two perfect squares. x 4 - 25 = ( x 2 ) 2 - (5) 2 Thus, we can employ
Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib
Your bank has a loan outstanding with a current balance of $1,000,000 that is payable in quarterly equal instalments of $49,924. This loan has another 6 years to maturity. The bo
If the ratios of the polynomial ax 3 +3bx 2 +3cx+d are in AP, Prove that 2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z
what is number of quadratic equation that are unchanged by squaring their roots is There are four such cases x 2 =0 root 0 (x-1) 2 =0 root 1 x(x+1)=0 roots 0 and 1
the probability that an account officer will pass her exam is 5/9. if she pass,the probability that she will be promoted is 3/4. she is not promoted if she fails her professional e
Adding Equally Sized Groups: Once children have had enough practice of making groups of equal size, you can ask them to add some of these equal groups. They can now begin to atte
give an example of a relation R that is transitive while inverse of R is not
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