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Exam of 2 pages for the course Mathematics at UCT (85% PASS)
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WISKUNDE (BIO) 124 TUTORIAAL 3 4-6 Maart 2024MATHEMATICS (BIO) 124 TUTORIAL 3 4-6 March 2024
1. Los die volgende rasionale vergelyking op: /
Solve the following rational equation:
x 1 5
+ = .
x+2 x+1 (x + 1)(x + 2)
2. Vereenvoudig: /
Simplify:
10×5n+4 +125×5n+2
(a) 3×5n+3 +20×5n+1
;
−1
2 2
63
−2
2 −1
(b) 52 22
· 3 ;
−2
a2 (23 ·c−2 )
c
(c) 3 −2
−2 (a2 ·2−1 )2
.
( a2 )
3. Los die vergelyking op:/
Solve the equation:
(a) 25p−1 + 100 = 52p−1 ;
(b) 4x + 2x − 20 = 0;
(c) 9x × 24x = 144;
4. Grafiek: /
Graph:
−x − 4 as/ if x < 0
f (x) =
x as/ if x ≥ 0
Gee die definisie en waardeversameling van f .
Give the domain and the range of f .
5. Vir die gegewe figuur, bepaal tan(Pb) − cot(R):
b
For the given figure, find tan(P ) − cot(R):
b b
6. Bewys dat:
Prove that:
(sin4 (θ) − cos4 (θ) + 1)cosec2 (θ) = 2.
7. Los die volgende trigonometriese vergelyking op:
Solve the following trigonometric equation:
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