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MTH001 Assignment Solution (Spring 2012), Exercises of Mathematics

The solution to assignment no.2 of mth001 (spring 2012) course. The assignment includes questions on classifying monomials, binomials, and trinomials, finding unknown values in proportions, and identifying column matrices, square matrices, and row matrices. It also includes solutions to mr. Shakeel's loan problem and finding the mode for given data.

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Assignment No.2 Of MTH001 (Spring 2012)
Maximum Marks: 20
Due Date: june25, 2012
DON’T MISS THESE: Important instructions before attempting the solution of
this assignment:
To solve this assignment, you should have good command over 17-24
lectures.
Try to get the concepts, consolidate your concepts and ideas from these
questions which you learn in the 17 to 24 lectures.
Upload assignments properly through LMS, No Assignment will be accepted
through email.
Write your ID on the top of your solution file.
Don’t use colorful back grounds in your solution files.
Use Math Type or Equation Editor etc for mathematical symbols.
You should remember that if we found the solution files of some students are
same then we will reward zero marks to all those students.
Try to make solution by yourself and protect your work from other students,
otherwise you and the student who send same solution file as you will be
given zero marks.
Also remember that you are supposed to submit your assignment in Word
format any other like scan images etc will not be accepted and we will give
zero marks correspond to these assignments.
Question 1; Marks:3+2=5
(i)
Classify these as monomial, binomial and trinomial.
2
2
2
( ) 6 3 binomial
( ) 3 6 2 trinomial
( ) 9 monomial
ay x
bxxyy
cz

(ii)
Find the unknown value in the proportion: 3x+4:8 = 3x : 6
Solution:
3+4 :8 = 3 : 6
3+4 3
86
18 24 24 (bycrossmultiplication)
24 24 18
24 6
4
xx
xx
xx
xx
x
x


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Download MTH001 Assignment Solution (Spring 2012) and more Exercises Mathematics in PDF only on Docsity!

Assignment No.2 Of MTH001 (Spring 2012)

Maximum Marks: 20 Due Date: june25, 2012

DON’T MISS THESE: Important instructions before attempting the solution of this assignment:

- To solve this assignment, you should have good command over 17- lectures.  **Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 17 to 24 lectures.

  • Upload assignments properly through LMS, No Assignment will be accepted through email.
  • Write your ID on the top of your solution file.**  Don’t use colorful back grounds in your solution files.Use Math Type or Equation Editor etc for mathematical symbols.You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students.Try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.Also remember that you are supposed to submit your assignment in Word format any other like scan images etc will not be accepted and we will give zero marks correspond to these assignments.

Question 1; Marks:3+2= (i) Classify these as monomial, binomial and trinomial. 2 2 2

( ) 6 3 binomial ( ) 3 6 2 trinomial ( ) 9 monomial

a y x b x xy y c z

(ii) Find the unknown value in the proportion: 3x+4:8 = 3x : 6 Solution: 3 +4 :8 = 3 : 6 3 +4 3 8 6 18 24 24 (by cross multiplication)

24 24 18 24 6 4

x x x x

x x x x x x

Question 2; Marks:5+5= (i) Mr. Shakeel borrowed an amount of Rs 50,000 from bank for 5 years. After 5 years he has returned Rs 60,000. Find the rate of interest that he has to bear. Solution: P=Rs 50, T= I=60,000-50,000=10, R=? I=PRT/ I100/PT=R 10,000100/50,0005=R 4%=R

(ii) Find mode for the following data.

Class interval Class boundaries Frequency 20-23 19.5-23.5 6 24-27 23.5-27.5 9 28-31 27.5-31.5 8 32-35 31.5-35.5 3 36-39 35.5-39.5 4

Solution: ^ 1 ( 1 ) ( 2 )

m m m

f f X l h f f f f

Where l= lower class boundary of the modal class. f (^) m = frequency of the modal class. f 1 =frequency preceding the modal class. f 2 =frequency following the modal class. h=class interval ^ (^9 ) 23.5 4 (9 6) (9 8) 3 23.5 4 23.5 3 26. 4

X

Question 3; Marks:3+2= (i) Identify column matrix, square matrix, and row matrix from the following: