Determine whether (f(g(x)) = x and whether (g (f(x)) = x.f(x) = 
, g(x) = x
A. No, yes
B. Yes, no
C. Yes, yes
D. No, no
Answer: D
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Calculate the arc length of the indicated portion of the curve r(t).Following the curve r(t) = 5ti + (12 cos t)j + (12 sin t)k in the direction of increasing of arc length, find the point that lies 39? units away from the point where 
A. (15?, 0, 0) B. (15, -12, 0) C. (15?, -12, 0) D. (15?, 0, -12)
Solve using Cramer's Rule.Jerry has 3 pieces of string. The total length is 102 inches. The sum of the two longer pieces is 83. The middle piece is twice as long as the shortest piece. What are the lengths of the 3 pieces?
A. 19, 45, and 55 inches B. 19, 38, and 45 inches C. 9.5, 19, and 73.5 inches D. No solution
Solve the problem in the right triangle ABC with the standard labeling.Find a if b = 59.4 and ? = 43°
A. 87.1 B. 81.2 C. 55.4 D. 63.7
Perform the operations.
?
Fill in the blank(s) with the appropriate word(s).