FREE HOMEWORK HELP

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Free Homework Help :

Here you can type your homework problems in which you need help.

In the comment box, you can type your questions. If you find it difficult to type questions, you can take a photograph of the question and upload it as image.

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Question :

Find the zeros of quadratic polynomial for (6x2 + 1) / (6x -2) and verify the relationship between the zeros and Co efficient

Solution :

(6x2 + 1) / (6x -2)  =  0

6x2 + 1  =  0

6x2  =  -1

x2  = -1/6

x  =  √(-1/6)

The roots are not real. Hence we cannot verify the relationship.

Question 2 :

Let f = {(x, y) | x, y  N and y = 2x} be a relation on ℕ. Find the domain, co-domain and range. Is this relation a function?

Solution :

Since x and y  N, 

x = 1    if x = 2    if x = 3  if x = 4

y = 2     y = 4      y = 6          y = 8

f = {(1, 2) (2, 4) (3, 6) (4, 8)................}

For each values of x, we get different values of y. So the given relation is a function.

Domain is the set of values of x

Domain  =  {1, 2, 3, 4, ............}

Co domain is the set of value of y. Since  N

Co domain  =  {1, 2, 3, 4, .............}

Range means the set of values of y, which are associated with x.

Range =  {2, 4, 6, 8, .....}

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After having gone through the stuff given above, we hope that the students would have understood, "Polygons". 

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