1. given the curve that is described by the equation r = cos ф, find the angle that the tangent line makes when ф = 120°
a. 30° b. 45° c. 60° d. 90°

2. a line rotates in a horizontal plane according to the equation ф = 2t∧3 - 6t, where ф is the angular position of the rotating line, in radians, and t is the time in seconds. determine the angular acceleration when t = 2 sec.
a. 6 radians per second squared
b. 12 radians per second squared
c. 18 radians per second squared
d. 24 radians per second suared

Hi,

Here are the solutions.

Note that these are numbered in the same manner, and in the same order, as they were posted in.

1. A. 30 degree

15. D. 24 radians per sec square

3. A (Note that answer A should read 1/2 ln(sin2x) + c. I am assuming that sin(sx) is a typo in that answer choice. None of the other answers are correct.)

2. D - cos cube 4x/12 + e

3. B. 1/3 e the power of 3x + c

4. A. the anti derivative of 1 + cos10x/2 dx

5. C. u = 2x cube - 4

6. A. sin the power of -1(x + 4)/5 + c

7. C. 1/3 x sin3x + 1/9 cos3x + c

8. C. 1/2 x e the power of 2x - 1/4e the power of 2x + c

9. B. 1/10 e the power of 5x + 1/2 e the power of x + c

10. B. 18 pie

11. B. 5pie/2 + 4

12. B. the square root of 5 pie

13. A. (0, 1.6)

14. A. 7.5(1 + e the power of -2)

15. A. 7.5 the square root of 1 + 4e the power of -2 - e the power of -4

ALL DA ANSWERS

Multiplication property of zero

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