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Förberedande kurs i matematik - Stockholms universitet

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2. -20/3<br />

3. 5/2<br />

4. Ja, de är lika.<br />

(a) 41<br />

27<br />

(b) −9<br />

(c) − 1<br />

30<br />

(d) 29<br />

144<br />

Avsnitt 1.7<br />

1. 64<br />

2. 2<br />

3. 8<br />

4. 28/3<br />

5. 27<br />

6. 2 · 2 1<br />

12<br />

7. −53/24<br />

Avsnitt 1.8<br />

1. 5 + 3i<br />

2. 4i + 4<br />

3. (a) 3 − 2i<br />

3<br />

(b) −1 − 4i<br />

3<br />

(c) 7 5i<br />

3 − 3<br />

4. -1<br />

5. Re(z) = −2, Im(z) = 2.<br />

Avsnitt 1.9<br />

1. 999996<br />

2. (a) x<br />

3. 25<br />

(b) x−y<br />

x+y<br />

(c) −5 − x<br />

4. 3 5i<br />

2 + 2<br />

Kapitel 2<br />

Avsnitt 2.1<br />

1. (a) − 1<br />

2 ± √ 3<br />

2 i<br />

(b) x = 1, x = − 5<br />

3<br />

(c) x = 3, x = −4<br />

102

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