Solve the problem.Find the length of the curve y = ln(csc x), ?/3 ? x ? ?/2
A. 1 - ln(
)
B. ln(
+ 1)
C. ln(2
)
D. ln(
)
Answer: D
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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 2, f(x) is not differentiable at 
B. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 1, f(x) is not differentiable at 
C. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 
, f(x) is not differentiable at 
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at 
Solve the problem. Round your answer to the nearest tenth, when appropriate.A ball is thrown downward from a window in a tall building. Its position at time t in seconds is given by 
, where s is in feet. How long will it take the ball to fall 
?
A. 2.7 sec B. 3.6 sec C. 1.9 sec D. 1.7 sec
Solve the equation. Find imaginary solutions if possible.(4x + 1)-3/2 = 
A. 
B. 
C. 
D. 
Solve the system of equations using Cramer's Rule if it is applicable. If Cramer's Rule is not applicable, say so.
A. x = 6, y = 8, z = 6; (6, 8, 6) B. x = 1, y = 6, z = 8; (1, 6, 8) C. x = 1, y = -6, z = -8; (1, -6, -8) D. x = 2, y = 4, z = 8; (2, 4, 8)