Math 125 Final Exam Part I 4 points each 4-27-05

Instr: K. W. Nicholson (Please Circle your answers!)

Differentiate

1. y = e²

2. y = 5sec 3x

3. y = cot x³

4. y = tan⁴ x

5. y = csc (x/3)

6. y = sin (5 / x)

7. y = x⁵ cos 3x

8. y = ln (4x² - 5)

9. y = e^{tan x}

10.

11. y = log₅ 5^x

12.

Integrate

1. ∫ 4 dx

2. ∫ 3x da

3. ∫ sec x tan x dx

4. ∫ 3x² dx

5. ∫ (5x - 9)³ dx

6. ∫ (5x⁴ - 6x² + 8) dx

7.

8. ∫ sin 4x dx

9. ∫ e^2x dx

10.

11. ∫ tan² x dx

12.

13.