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# MTH101 Calculus And Analytical Geometry Assignment No 1 Solution & Discussion Due Date:12-11-2012

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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### Replies to This Discussion

Our main purpose here discussion not just Solution

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

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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++[[[ ZAIB ]]] gud keep it up & thanks

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)

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.

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 has been scaled down 36% (800x1036). Click this bar to view original image (1236x1600). Click image to open in new window.

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Mth101 Complete solution attached file cheak.

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