DSC1520 Assignment 4 Semester 1 2025

, 3/19/25, 7:20 PM Assessment 4

UNISA 2025 DSC1520-25-S1 Welcome Message Assessment 4
QUIZ

Assessment 4



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Question 1
Integrate the function
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Marked out of
10.00
f(x) = ∫ (20 + 3x 2 + x 3 ) dx.
Flag question 𝑓(𝑥) = ∫ ( 20 + 3𝑥2 + 𝑥3 ) 𝑑𝑥 .




a. 20x + x 3 + 14 x 4 + C 20𝑥 + 𝑥3 + 14 𝑥4 + 𝐶
b. 20x + x 3 + 14 x 4 20𝑥 + 𝑥3 + 14 𝑥4
c. 6x + 3x 2 + C 6𝑥 + 3𝑥2 + 𝐶
d. 6x + 3x 2 + C 6𝑥 + 3𝑥2 + 𝐶
e. None of the given options is correct.

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Question 2 Integrate the function
Answer saved
t 10 − √ t
Marked out of f(t) =
10.00 t3
10
𝑡 − √𝑡
Flag question 𝑓(𝑡) =
𝑡3




a. t8 2 𝑡8 2
8
+ +C + +𝐶
3√ t 3 8 3√𝑡3

b. t8 2 𝑡8 2
8
+ +C + +𝐶
3√3 t 8 3 3√𝑡

c. 10t 9 −0,5t −0,5 10𝑡9 − 0, 5𝑡−0, 5
3t 2 3𝑡2

d. 10t 9 −0,5t −0,5 10𝑡9 − 0, 5𝑡−0, 5
3t 2
+C 3𝑡2
+𝐶

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Question 3 A tool hiring company has estimated that the rate of increase in the maintenance cost of power drills is given by
Answer saved the equation
Marked out of
10.00
C(t) = 2 + t 1,5
𝐶(𝑡) = 2 + 𝑡1, 5
Flag question
where t 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. 20, 8.
b. 1010
c. 22, 36 22, 36
d. 32, 36 32, 36
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Question 4 Determine the integral
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