We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>
+ Link For Assignments, GDBs & Online Quizzes Solution |
+ Link For Past Papers, Solved MCQs, Short Notes & More |
Dear Students! Share your Assignments / GDBs / Quizzes files as you receive in your LMS, So it can be discussed/solved timely. Add Discussion
How to Add New Discussion in Study Group ? Step By Step Guide Click Here.
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)
Tags:
+ How to Follow the New Added Discussions at Your Mail Address?
+ How to Join Subject Study Groups & Get Helping Material? + How to become Top Reputation, Angels, Intellectual, Featured Members & Moderators? + VU Students Reserves The Right to Delete Your Profile, If?.
+ http://bit.ly/vucodes (Link for Assignments, GDBs & Online Quizzes Solution)+ http://bit.ly/papersvu (Link for Past Papers, Solved MCQs, Short Notes & More)
+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)All the values that go into a function
The output values are called the range.
Domain -> function -> Range
Example: if the function f(x) = x2 is given the values x = {1,2,3,...} then {1,2,3,...} is the domain.
Question # 01: 05
Find the equation for circle with center (1,3) that passes through (4, -1).
Solution:-
Radius of the circle r is the distance between (4, -1) & (3, 1)
r =
r =
r =
r =
r = 5
Now we put the value of r in equation of circle
(x – 1)^{2} + (y – 3)^{2} + 25
x^{2} +1 – 2x + y^{2} + 9 – 6y = 25
x^{2}+ y^{2 } – 2x – 6y + 10 = 25
x^{2}+ y^{2 } – 2x – 6y - 15 = 0
Question # 02: 05
Given that . Find . Also find the domains of the composite functions.
Solution:-
= (g(x))^{2} – 4
=
=
=
The Domain of all Real Number
Now =
=
=
=
The Domain of
Taking under root on both sides of inequality to eliminate the exponent
First substitute the portion of the to find the solution
Now substitute the portion of the to find the solution
The Domain of = is or
Question # 03: 05
Find . (Use rationalization technique to simplify)
Solution:-
X
1
As approaches to , then also approaches to
The of is
= 0
Question # 01: 05
Find the equation for circle with center (1,3) that passes through (4, -1).
Solution:-
Radius of the circle r is the distance between (4, -1) & (3, 1)
r =
r =
r =
r =
r = 5
Now we put the value of r in equation of circle
(x – 1)^{2} + (y – 3)^{2} + 25
x^{2} +1 – 2x + y^{2} + 9 – 6y = 25
x^{2}+ y^{2 } – 2x – 6y + 10 = 25
x^{2}+ y^{2 } – 2x – 6y - 15 = 0
Question # 02: 05
Given that . Find . Also find the domains of the composite functions.
Solution:-
= (g(x))^{2} – 4
=
=
=
The Domain of all Real Number
Now =
=
=
=
The Domain of
Taking under root on both sides of inequality to eliminate the exponent
First substitute the portion of the to find the solution
Now substitute the portion of the to find the solution
The Domain of = is or
Question # 03: 05
Find . (Use rationalization technique to simplify)
Solution:-
X
1
As approaches to , then also approaches to
The of is
= 0
fog(x)
f(g(x))
f(underroot x-2)
f(underroot (x-2)^2 -4)
f(x-2-4)
fog(x)=x-6
what is domain of it
What is the domain of the Q.2?
the ans of fog(x) and gof(x) should be equal?
question No 2
the domain of 1 question is (- infinity , + infinity) all real numbers ,
the domain of [6, -infinity)
the composite domain is [6, -infinity)
© 2020 Created by + M.Tariq Malik. Powered by
Promote Us | Report an Issue | Privacy Policy | Terms of Service
VU Students reserves the right to delete profile, which does not show any Activity at site nor has not activity more than 01 month.
We are user-generated contents site. All product, videos, pictures & others contents on vustudents.ning.com don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com or Contact us at contact Page with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List | Moderators Group
All Members | Featured Members | Top Reputation Members | Angels Members | Intellectual Members | Criteria for Selection
Become a Team Member | Safety Guidelines for New | Site FAQ & Rules | Safety Matters | Online Safety | Rules For Blog Post