A forester from his vantage point on a hillside sees a puff of smoke in a valley below him. He measures the angle of depression (the acute angle between the horizontal and the line of sight) to the smoke from his position to be 21°13'15" (see figure). Find the measure of ?PSF in degrees, minutes and seconds.
68° 46' 45"
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Find the most general antiderivative.
dt
A. 18t3 + 
t2 + C
B. 2t3 + 
+ C
C. 12t + 
+ C
D. 2t3 + t + C
Solve the exponential equation and approximate the result, correct to three decimal places.2(x - 2) = 16
A. 4.079 B. 2.000 C. 6.000 D. 10.000
Solve the problem.List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What is P(4, 3)?
A. 123, 124, 134, 234 P(4, 3) = 4 B. 123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431, 432 P(4, 3) = 24 C. 111, 112, 113, 114, 121, 122, 123, 124, 131, 132, 133, 134, 141, 142, 143, 144, 211, 212, 213, 214, 221, 222, 223, 224, 231, 232, 233, 234, 241, 242, 243, 244, 311, 312, 313, 314, 321, 322, 323, 324, 331, 332, 333, 334, 341, 342, 343, 344, 411, 412, 413, 414, 421, 422, 423, 424, 431, 432, 433, 434, 441, 442, 443, 444 P(4, 3) = 64 D. 123, 124, 132, 142, 143, 213, 214, 231, 241, 243, 312, 314, 321, 341, 342, 412, 413, 421, 423, 431 P(4, 3) = 20
Name the quadrant in which the point is located.(-14, -7)
A. I B. II C. III D. IV