i need assist on math questions, please kindly refe to the attache file.. i need it fast

Evidence of plagiarism or collusion will be taken seriously and the University
regulations will be applied fully. You are advised to be familiar with the University’s
definitions of plagiarism and collusion.
Instructions:
1. This is an individual assignment. No duplication of work will be tolerated.
Any plagiarism or collusion may result in disciplinary action. 2. TMA 1 covers topics from Unit 1 and Unit 2. 3. No need to submit your TMAs to Turnitin. 4. Submit your TMA1 file through the Online Assignment Submission
(OAS) system. 5. The total marks for TMA 1 is 100 % and it contributes 25 % towards your
total grade. Marks will be awarded for correct working steps and answers. 6. TMA 1 contains five (5) questions. 7. Students are highly encouraged to passage their TMAs to the Turnitin system
before submission, to encourage honest academic writing and it is not
mandatory except for Project courses". Answer ALL the questions.
Question 1
(a)
Simplify the following expressions:
(i) 5 x−2 ( x +3 y ) +7 ( x− y ) [3 marks] (ii) 5 x−8 y −3( x +2 y)
x−7 y [3 marks]
(iii) (b) [3 marks] 32 p 5 q 3 8 p 2 q 3
6 pq 7 Express the following expressions to the simplest fraction:
(i)
(ii) (iii) 7
1 5
3
−2 + ÷ 1
8
3 6
7
2 6 8
3 3 5 15 5
7 3
5
+3 2− − ÷1
25
8 4
6
3 ( ) [6 marks] 1
1 1+
(c) Evaluate the value of 1+ 1 [5 1
1+
5 marks]
[Total: 20 marks]
Question 2
(a)
(i) A pair of shoes is listed at RM248, and a sign indicated 40%
discount, find its selling price. [5 marks] (ii) Raju paid RM252 for a camera that offered a discount of 70%, find
the original price of the camera. [5 marks] .
(b) (i) Find the original price of a toy if the selling price after 20% discount is
RM54. [4 marks] (ii) The relationship between the price ordered q p and the quantity of the product , can be described by the equation p 4 q . The cost function is given by C (q ) 5q 20 . Find the value of q of the product in order for the company to break-even. [6 marks]
[Total: 20 marks] Question 3
(a)
Solve the followings:
(i) (ii) (b) If [5 marks] 25 x 2 5 x 2 0 [6 marks] y 2 y 1 5
2 2 f ( x) 5 x 7 x 2 (i) (ii) (iii) and g ( x) 4 x 2 5 x 1 , find the followings: f g 2 ( f g )( 1) [3 marks] [3 marks] [3 marks] f x g [Total: 20 marks]
Question 4
(a) Determine the domain of each of the functions below: (i)
(ii)
(iii) f ( x )= 8
5 x−6 f ( x )=√ 3 x+12
f ( x )= 1
( x−5 ) ( x +3) (iv) f ( x )=ln ⁡( 2 x−10) [8 marks]
(b) Sketch the following graphs:
(i) (ii) [6 marks] y 6 x 9 [6 marks] y 20 x 2 40 x 20 [Total: 20 marks] Question 5
(a) Use completing the square method to find the values of x at the minimum or maximum point and state the minimum/maximum values of the following
functions.
(i) f ( x )=x 2 +6 x−6 (ii) f ( x )=x 2−20 x +5 (iii) f ( x )=2 x 2+16 x−10
[6 marks] (b) The number of bicycle produced in a factory each day is a function of the
number of hours (t) the assembly line is in operation that day and is given by
n=P ( t )=75 t −2 t 2 . The cost C of producing the bicycles is a function of the
number of bicycles produced and is given by C ( n ) =7 n+1000 . Answer the
following question:
(i) Determine a function that gives the cost of producing the bicycles in
terms of the number of hours the assembly line is functioning on a
given day. [3 marks] (ii) Determine the cost of the bicycles produced on a day when the
assembly line was functioning 12 hours. (c) [2 marks] Solve the following equations:
(i) x 2 2 x 2 0 Hint : by using b b 2 4ac
x
2a
[3 marks]
2
(ii) 6 x +13 x +6=0 [3 marks]
2
(iii) 2 x −7 x−15 ≥ 0 [3 marks]
[Total: 20 marks]

• 1492575883-TMA1 UMB July 2016.docx

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Status NEW Posted 19 Apr 2017 04:04 AM My Price 8.00

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