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DSC1520 ASSIGNMENT 4 SEM 1 2025

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DSC1520 ASSIGNMENT 4 SEM 1 2025

Institution
Course

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2/19/25, 11:44 AM Assessment 4




DSC1520-25-S1  Welcome Message  Assessment 4


QUIZ




Question 1

Not yet answered

Marked out of 10.00




Integrate the function

2 3
f (x) = ∫ (20 + 3x + x ) dx.




a. 20x + x
3
+
1
x
4
+ C
4



b. 20x + x
3
+
1
x
4

4


2
c. 6x + 3x + C

2
d. 6x + 3x + C


e. None of the given options is correct.

Clear my choice




Question 2

Not yet answered

Marked out of 10.00




Integrate the function

12
t − √t
f (t) =
t




1

a. t 2

1
√t + C
12 2


1
b. t 2

2
+ C
12 √t


1
c. 1
11t 0 + + C
3
2√ t


1 1
d. t
12
− √t
12 2



e. None of the given options is correct.

Clear my choice




https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=23852412&cmid=1069590 1/5

,2/19/25, 11:44 AM Assessment 4

Question 3

Not yet answered

Marked out of 10.00




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 five weeks.




a. 32.4


b. 13.2


c. 13.2 + C


d. 32.4 + C


e. None of the given options is correct.

Clear my choice




Question 4

Not yet answered

Marked out of 10.00




Determine the integral

−−−−−− −
∫ √9x − 5dx.




−−−−−−−−
a. 2
√(9x − 5)3 + c
27


−−−−−−−
b. 2
√(9x − 5) + c
27

−−−−−−−
c. 1
√(9x − 5) + c
6


1 −−−−−−−−
d. √(9x − 5)3 + c
6



Clear my choice




https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=23852412&cmid=1069590 2/5

, 2/19/25, 11:44 AM Assessment 4

Question 5

Not yet answered

Marked out of 10.00




A firm’s marginal cost function is

2
Q + 2Q + 4.



Find the total cost function if fixed costs are 100.


3
a. Q 2
+ Q + 4Q + 100
3

3
b. Q 2
+ Q + 4Q + C
3



c. 2Q + 2


d. 2Q + 102


e. None of the given options is correct.

Clear my choice




Question 6

Not yet answered

Marked out of 10.00




Suppose the marginal revenue function for a good is

12 3
M R = 300 − 13q + 16q ,



where q is the number of units sold, and that total revenue from selling 1 unit is
R3 316. Find the total revenue function.


a. T R = 300q − q
13
+ 4q
4
+ 3 013

11 2
b. T R = 143q + 32q + 3 316

13 4 15
c. T R = 300q − q + 4q + 1, 95 × 10

13 4
d. T R = 300q − q + 4q


Clear my choice




https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=23852412&cmid=1069590 3/5

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Written in
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