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FACULTY OF SCIENCE
DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
B ENG TECH IN
CHEMICAL ENGINEERING, CIVIL ENGINEERING, CONSTRUCTION, ELECTRICAL ENGINEERING,
INDUSTRIAL ENGINEERING, MECHANICAL ENGINEERING, EXTRACTION METALLURGY &
PHYSICAL METALLURGY
MODULE: MATE1B1
COURSE: ENGINEERING MATHEMATICS V 1B
CAMPUS: DFC
ASSESSMENT: SEMESTER TEST 2
DATE: 5 OCTOBER 2020
TIME: 08:00AM - 10:30AM
ASSESSORS: MR I.K. LETLHAGE
MR T. PAEPAE
MR A. ALOCHUKWU
MS. A. DLAMINI
INTERNAL MODERATOR: MR M. P. SELOANE
DURATION: 2 HOURS 30 MMINUTES MARKS: 40
NUMBER OF PAGES: 3 PAGES (INCLUDING FRONT PAGE).
INSTRUCTIONS: READ THE INSTRUCTIONS ON THE TEST PAGE
ANSWER ALL THE QUESTIONS IN EITHER BLACK OR BLUE PEN
NON-PROGRAMMABLE SCIENTIFIC CALCULATORS ARE ALLOWED
STUDENT NUMBER
SURNAME AND INITIALS
CONTACT NUMBER
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FACULTY OF SCIENCE DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS B ENG TECH IN CHEMICAL ENGINEERING, CIVIL ENGINEERING, CONSTRUCTION, ELECTRICAL ENGINEERING, INDUSTRIAL ENGINEERING, MECHANICAL ENGINEERING, EXTRACTION METALLURGY & PHYSICAL METALLURGY

MODULE: MATE1B COURSE: ENGINEERING MATHEMATICS V 1B CAMPUS: DFC ASSESSMENT: SEMESTER TEST 2

DATE: 5 OCTOBER 2020

TIME: 08:00AM - 10:30AM

ASSESSORS: MR I.K. LETLHAGE

MR T. PAEPAE MR A. ALOCHUKWU MS. A. DLAMINI

INTERNAL MODERATOR: MR M. P. SELOANE

DURATION: 2 HOURS 30 MMINUTES MARKS: 40

NUMBER OF PAGES: 3 PAGES (INCLUDING FRONT PAGE).

INSTRUCTIONS: READ THE INSTRUCTIONS ON THE TEST PAGE ANSWER ALL THE QUESTIONS IN EITHER BLACK OR BLUE PEN NON-PROGRAMMABLE SCIENTIFIC CALCULATORS ARE ALLOWED

STUDENT NUMBER

SURNAME AND INITIALS

CONTACT NUMBER

2 Engineering Mathematics V 1B: Semester Test 2- 5 October 2020

SECTION A: Short Answer Questions [Total 10]

INTEGRATE THE FOLLOWING INTEGRALS USING ANY APPROPRIATE METHOD. GIVE ONLY THE FINAL SIMPLIFIED ANSWER.

Question 1

2 x y^2 − 1 dx

Question 2

ln 2^3 x dx

∫ x

Question 3

sin^2 3 csc 2

x dx

∫ x

Question 4

2 6

x (^) dx

∫ + x

Question 5

(2) 3 2

x (^) dx x

SECTION B: [Total 30]

EVALUATE THE FOLLOWING INTEGRALS USING APPROPRIATE METHODS AND FORMULAE. SHOW ALL THE STEPS TAKEN THAT LEADS TO THE FINAL ANSWER.

Question 6: Integrate the following

6.1 (^4 ) 6 9

dx

∫ x + x +

6.2 ∫ sin 3 x cos 7 x dx (3)

6.3 ∫ c sc h 2 x dx (4)