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                           Assignment No. 1

                        MTH 101 (Fall 2012)

                                        

                                                                      Maximum Marks: 15

                                                                      Due Date: 12th Nov. 2012  

 

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Question # 01:                                                                                        05

                          

Find the equation for circle with center (1,3) that passes through (4, -1).                                   

   

Question # 02:                                                                                        05

 

Given that . Find . Also find the domains of the composite functions.                                                                                                                                                                                                                                                                                                                                                                                              

      

Question # 03:                                                                                        05

 

Find . (Use rationalization technique to simplify)

 

 

Hint: (How to rationalize)

Rationalize the numerator of the expression .

Step I: find the conjugate of the numerator which is and vice versa.

Step II: multiply  the numerator and the denominator of the expression with the conjugate

Step III: make sure all the radicals are simplified

Step IV: simplify the fraction if needed.

 

In the same manner we can rationalize denominator too.

 

(Note: In order to get full marks, do all necessary steps)

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Please Discuss here about this assignment.Thanks

Our main purpose here discussion not just Solution

hi friends... i have solved Q1..please check and tell me is it okay???

m waiting for your replies!!!

Thanx

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HELLO...kia kisi ko interest nhi.....???

plz help finding domain... i have no idea... and plz check the question and tell me the mistakes if any...

Thanx

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Question # 01:                                                                                        05

                         

Find the equation for circle with center (1,3) that passes through (4, -1).                                  

 

 

Sol.

 

Radius of circle r is the distance between (4, -1) and (1, 3)

 

 

Question # 02:                                                                                        05

 

Given that . Find . Also find the domains of the composite functions.     

 

Sol.

 

fog(x) = f ( g(x) )

            

             =  ( g(x) )2 – 4

            

              =  x-2- 4

              =  x-6

 

gof(x) =  g( f(x) )

 

Question # 03:                                                                                        05

 

Find . (Use rationalization technique to simplify)

 

Sol.

 

 

Mth101 1st assignment solution nov 2012.

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another one. 


Question # 01: 05

Find the equation for circle with center (1,3) that passes through (4, -1). 


Sol.

Radius of circle r is the distance between (4, -1) and (1, 3)


[Image: x6lglk.jpg]

Question # 02: 05

Given that . Find . Also find the domains of the composite functions. 

Sol.

fog(x) = f ( g(x) )

= ( g(x) )2 – 4

= x-2- 4
= x-6

gof(x) = g( f(x) )



Question # 03: 05

Find . (Use rationalization technique to simplify)

Sol.

[Image: 155p278.jpg]

MTH101ASSIGNMENT #1 SOLUTION

MTH101ASSIGNMENT #1 SOLUTION

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Image has been scaled down 36% (800x1036). Click this bar to view original image (1236x1600). Click image to open in new window.
[Image: 2mdf71z.jpg]

Image has been scaled down 36% (800x1036). Click this bar to view original image (1236x1600). Click image to open in new window.
[Image: 30rwcr7.jpg]

Image has been scaled down 36% (800x1036). Click this bar to view original image (1236x1600). Click image to open in new window.
[Image: 30rwcr7.jpg]

 

 Mth101 Complete solution attached file cheak.

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