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Assignment No. 1
MTH 101 (Fall 2012)
Maximum Marks: 15
Due Date: 12^{th} Nov. 2012
DON’T MISS THESE Important instructions:
10 lectures.
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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hi friends... i have solved Q1..please check and tell me is it okay???
m waiting for your replies!!!
Thanx
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 # 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) )
Mth101 1st assignment solution nov 2012.
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
Mth101 Complete solution attached file cheak.
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