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algebra test, logs,partial functions, Exams of Engineering Mathematics

Cape Peninsula University of TechnologyEngineering Mathematics

this is a test for eng maths 1

Typology: Exams

2022/2023
On special offer
30 Points
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Uploaded on 06/10/2023

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BET Engineering Mathematics 1
EMA156S/157S
TEST 1: SAMPLE QUESTIONS - 26 MARCH 2023
Examiner: Mr GM Tshitenge
Moderator: Dr ZT Nkosi
Special instructions:
1. To earn full marks all steps and workings must be shown in
full and you need to explain to the examiner the steps you
are using and giving reasons.
2. If you use other method than the one used by the lecturer,
please explain the step used and the concept.
pf2
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Download algebra test, logs,partial functions and more Exams Engineering Mathematics in PDF only on Docsity!

BET Engineering Mathematics 1

EMA156S/157S

TEST 1: SAMPLE QUESTIONS - 26 MARCH 2023

Examiner: Mr GM Tshitenge

Moderator: Dr ZT Nkosi

Special instructions:

1. To earn full marks all steps and workings must be shown in

full and you need to explain to the examiner the steps you

are using and giving reasons.

2. If you use other method than the one used by the lecturer,

please explain the step used and the concept.

ENGINEERING MATHEMATICS 1 TEST 1: SAMPLE QUESTIONS

  1. Determine a 4th^ degree polynomial P (x) such that P (1) = −30, P (0) = 24, P (−1) = 36 and P (2) = −72 and the coefficient of x^4 is 2.
  2. Determine the domain of the function:

h(x) =

x^2 − 2 x − 15 x^2 − x − 2

  1. Solve the following equations:

(a) 4 x^ − 3 x−^1 /^2 = 3x+1/^2 − 22 x−^1 (b) 22 /^ log^5 x^ =

(c) logx 10 + 2 log 10 x 10 + 3 log 100 x 10 = 0 (d)

2 (log x)^3 + log(x^20 ) 10

log

x

(e) 2 log 4 (x + 1) +

log 4

x^2 + 6x + 9

= log 4 (6x + 2) +

(f) (^) { log 3 (3x + 8y + 27) = 3 log 2

2 x + 5y + (^298)

(g) (^) { 2 x^ = 16y 5 x^ = 625y

  1. Let consider a function: h(x) = ln(ln(ln x)) Find: (a) the domain of h(x) (b) the inverse of g(x)