DSC1520 ASSIGNMENT 4 SEMESTER 1 2024

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




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, 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



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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




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