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DSC1520 ASSESSMENT 4 SEMESTER 1 2024 Quantitative Modelling I - DS1520

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DSC1520 ASSESSMENT 4 SEMESTER 1 2024 Quantitative Modelling I - DS1520

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2/27/24, 9:02 PM Assessment 4




DSC1520-24-S1  Welcome Message  Assessment 4

QUIZ




Question 1

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Integrate the function

3
f (x) = ∫ (2 + 2x + x ) dx.




a.
4
2 x
2x + x + + C
4



b.
4
2 x
2 + 3 + + C
4



c. 2 + 3x + C


d. 2 + 3x
2
+ C



Clear my choice




Question 2
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Integrate the function

10
t − √t
f (t) = .
3
t




a.
8
t 2
+ + c
8 3
3√ t



b.
9 −0,5
10t −0,5t

2
3t



c. 7t
6
+ 2, 5t
−3,5




d. 0, 125t
8
− 0, 67t
−1,5
+ c


Clear my choice




CONTACT @ 061 262 1185/0717513144/068 053 8213
https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=15005249&cmid=842665 1/7

, 2/27/24, 9:02 PM Assessment 4

Question 3

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Calculate the integral
e
ln x
∫ dx.
1
x




a. 0, 5


b. −0, 5


c. 2


d. −2



Clear my choice




Question 4
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A tool hiring company has estimated that the rate of increase in the maintenance cost of power drills is given by the equation

1,5
C (t) = 2 + t



where t is the time that the company is in operation for weeks. Calculate the total maintenance cost during the first four
weeks.




a. 20, 8.


b. 22, 36.


c. 10.


d. 32, 36.



Clear my choice




CONTACT @ 061 262 1185/0717513144/068 053 8213
https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=15005249&cmid=842665 2/7

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