still unsloved
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MTH 101 Calculus And Analytical Geometry Assignment No.1 Fall Semester 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)
still unsloved
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.
When we apply limit as put x= 0 our answer will be 0
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