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Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section. There is interesting relationship among the graph of a function and the graph of its inverse.
Following is the graph of the function and inverse of the above examples.
we can illustrates that the graph of the inverse is a reflection of the actual function regarding the line y = x . It will always be the case with the graphs of a function & its inverse.
A company makes 2 products, Product A and Product B. The product characteristics are shown in the following table. Product A B
By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans: 4 x 2 +3 x +5=0 ⇒ x 2 + 3/4 x + 5 = 0 ⇒ x 2 + 3/4 x +
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
difference between scope and application of operation research
It is not the first time that we've looked this topic. We also considered linear independence and linear dependence back while we were looking at second order differential equation
1 1 1 1 1 2 1 2 ? and 40/2=? 2/40=?
In this case we will require deriving a new formula for variation of parameters for systems. The derivation now will be much simpler than the when we first noticed variation of pa
if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 => 1/x 2 +5x+6 = 2/ x 2 +8x +15 => On solving we get x
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Before we look at this, let us learn what a multiple is. Take any number say 3. Multiply this number with natural numbers. We obtain 3, 6, 9, 12, 15, 18,.........
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