2/28/25, 1:14 PM Assessment 4
DSC1520-25-S1 Welcome Message Assessment 4
QUIZ
Question 1
Not yet answered
Marked out of 10.00
Integrate the function
3
f (x) = ∫ (2 + 2x + x ) dx.
4
a. 2x + x
2
+
x
+ C
4
4
b. 2x + x
2
+
x
4
c. 2 + 3x
2
+ C
2
d. 2 + 3x
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
d. 1
t
12
−
1
√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=24001547&cmid=1069590 1/5
,2/28/25, 1:14 PM 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 ten weeks.
a. 146.5
b. 146.5 + C
c. 33.6
d. 33.6 + 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
−−−−−−−− −
∫ √10x + 15dx .
−−−−−−−− −
a. 1 3
√(10x + 15) + c
15
−−−−−−−−−
b. 1
√(10x + 15) + c
15
1 −−−−−−−−−
c. 3 2
√(10x + 15) + c
15
d. 5
√ 10x+15
e. None of the given options is correct.
Clear my choice
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,2/28/25, 1:14 PM 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 80.
3
a. Q 2
+ Q + 4Q + 80
3
3
b. Q 2
+ Q + 4Q + C
3
c. 2Q + 2
d. 2Q + 82
e. None of the given options is correct.
Clear my choice
Question 6
Not yet answered
Marked out of 10.00
The demand and supply functions for bikes are
−0.1q
pd = 900e
and
0.9q
ps = 3e ,
respectively. Where p is the price, and q the quantity. What is the total surplus at
equilibrium market?
a. 3 350
b. 2 341
c. 1 001
d. 664
Clear my choice
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, 2/28/25, 1:14 PM Assessment 4
Question 7
Not yet answered
Marked out of 10.00
At a small tool-hire company, the estimated rate of increase in the maintenance
cost of power drills is given by
2t
C (t) = 2e + 2t + 19,
where C is in rand and t is time in weeks. Give the total maintenance cost
during the first 10 weeks.
20
a. 289 + e
20
b. 289 + e + c
20
c. 290 + e
d. e
2t
+ t
2
+ 19t + 10
Clear my choice
Question 8
Not yet answered
Marked out of 10.00
Find the area between the curve
2 5x
F (x) = 3x + 5e + 2x + 13
and the x axis over 0 ≤ x ≤ 1.
a. 5
14 + e
5
b. 15 + e
5
c. 16 + e
5
d. e
Clear my choice
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DSC1520-25-S1 Welcome Message Assessment 4
QUIZ
Question 1
Not yet answered
Marked out of 10.00
Integrate the function
3
f (x) = ∫ (2 + 2x + x ) dx.
4
a. 2x + x
2
+
x
+ C
4
4
b. 2x + x
2
+
x
4
c. 2 + 3x
2
+ C
2
d. 2 + 3x
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
d. 1
t
12
−
1
√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=24001547&cmid=1069590 1/5
,2/28/25, 1:14 PM 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 ten weeks.
a. 146.5
b. 146.5 + C
c. 33.6
d. 33.6 + 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
−−−−−−−− −
∫ √10x + 15dx .
−−−−−−−− −
a. 1 3
√(10x + 15) + c
15
−−−−−−−−−
b. 1
√(10x + 15) + c
15
1 −−−−−−−−−
c. 3 2
√(10x + 15) + c
15
d. 5
√ 10x+15
e. None of the given options is correct.
Clear my choice
https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=24001547&cmid=1069590 2/5
,2/28/25, 1:14 PM 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 80.
3
a. Q 2
+ Q + 4Q + 80
3
3
b. Q 2
+ Q + 4Q + C
3
c. 2Q + 2
d. 2Q + 82
e. None of the given options is correct.
Clear my choice
Question 6
Not yet answered
Marked out of 10.00
The demand and supply functions for bikes are
−0.1q
pd = 900e
and
0.9q
ps = 3e ,
respectively. Where p is the price, and q the quantity. What is the total surplus at
equilibrium market?
a. 3 350
b. 2 341
c. 1 001
d. 664
Clear my choice
https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=24001547&cmid=1069590 3/5
, 2/28/25, 1:14 PM Assessment 4
Question 7
Not yet answered
Marked out of 10.00
At a small tool-hire company, the estimated rate of increase in the maintenance
cost of power drills is given by
2t
C (t) = 2e + 2t + 19,
where C is in rand and t is time in weeks. Give the total maintenance cost
during the first 10 weeks.
20
a. 289 + e
20
b. 289 + e + c
20
c. 290 + e
d. e
2t
+ t
2
+ 19t + 10
Clear my choice
Question 8
Not yet answered
Marked out of 10.00
Find the area between the curve
2 5x
F (x) = 3x + 5e + 2x + 13
and the x axis over 0 ≤ x ≤ 1.
a. 5
14 + e
5
b. 15 + e
5
c. 16 + e
5
d. e
Clear my choice
https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=24001547&cmid=1069590 4/5
