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Homework 4 – Ch 3 Part 2 - Berkeley City College

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Answer Key<br />

Testname: 13FALL_MATH3A_CH3_3.6_3.11_PROBS<br />

1) 6.4 cm2/sec<br />

2) 12.0 ft/s<br />

3) 8.4 m/sec<br />

4) 1 x<br />

30) -12x csc(6x2 - 1) cot(6x2 - 1) dx<br />

31) 0.14<br />

32) 1.8925<br />

33) L(x) = - 4 9 x - 1 3<br />

5)<br />

6)<br />

3<br />

2(3x + 5)<br />

3<br />

x + 2<br />

7) 15x - 2<br />

5x2 - x<br />

8) 14x13ln x + x13<br />

9) -1<br />

10) -4e (3 - 4x)<br />

11) e x + 8<br />

2 x + 8<br />

12) 9x8<br />

13) - 9 x 8<br />

e x9<br />

14) 3x ln 3<br />

15) π(x2 + 2x) π-1 (2x + 2)<br />

16) (πx2 + 7x) ln π (2x + 7)<br />

17) - 7(cos x) 7-1 sin x<br />

18) -6cos x ln 6 sin x<br />

-(5x + 3)<br />

19)<br />

2x4(6x + 3)1/2<br />

20)<br />

-14x2 + 140<br />

(x - 5)2(x - 2)2<br />

21) 4x3 sinh x4<br />

22) 21 sinh6x cosh x<br />

23) 4 coth 4x<br />

24) 7 cosh 7x coth x - sinh 7x csch 2x<br />

-10x<br />

25)<br />

1 - (5x2 - 2)2<br />

26)<br />

10<br />

25 - (10x + 11)2<br />

3<br />

27)<br />

2(1 + 3x) 3x<br />

4x3<br />

28)<br />

1 - x2 + 12x 2 sin-1 x<br />

29) (12x + 9) dx<br />

6

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