12, Mathematics

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Function notation, Now we need to move onto something called function notat...

Now we need to move onto something called function notation.  Function notation will be utilized heavily throughout most of remaining section and so it is important to understand i

Find the sum of all natural no. between 101 and 304, Find the sum of all na...

Find the sum of all natural no. between 101 & 304 which are divisible by 3 or 5. Find their sum. Ans:    No let 101 and 304, which are divisible by 3. 102, 105..........

Find the value of p and q for which the system of equations, Find the value...

Find the value of p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1 Ans: a 1  = 2, b 1 = 3, c 1 = 7 a 2  =

The stoichiometric reaction, Prove that a reaction following the rate law v...

Prove that a reaction following the rate law v = k[A] 2 is characterized by a linear plot of [P] t 1 versus t-l, where P is the product of the stoichiometric reaction A = P. Sho

What is the least number of students needed in a class, What is the least n...

What is the least number of students needed in a class to be sure that at least 6 will receive similar grade if there are five probable grades A, B,C, D and F?  Ans: Let us re

Explain histogramsin details, Explain Histogramsin details? Another way...

Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:

Proof of the properties of vector arithmetic, Proof of the Properties of ve...

Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w

Example of inverse matrix, Determine the inverse of the following matrix, i...

Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix.  It is, We

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