Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
?
?
A. 
is the critical point, it is impossible to determine the relative extrema of the function
B. 
is the point of minimum, 9 is the relative minimum
C. 
is the critical point, the function has neither a relative maximum nor a relative minimum at this point
D. 
is the point of maximum, 9 is the relative maximum
E. no critical points
Answer: B
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Find the unit tangent vector of the given curve.r(t) = (5 + 11t2)i + (9 + 2t2)j + (8 + 10t2)k
A. T = 
i + 
j + 
k
B. T = 
i + 
j + 
k
C. T = 
i + 
j + 
k
D. T = 11i + 2j + 10k
Evaluate the determinant.
A. -73 B. 63 C. -90 D. -63
The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to the nearest tenth.)A stuntman jumps from a rooftop 360 ft off the ground. How long will it take him, falling freely, to reach the ground?
A. About 11.3 sec B. About 4.7 sec C. About 75.9 sec D. About 22.5 sec
Use these equations to convert between the two systems. C = 
(F - 32) F = 
C + 32Round answer to the nearest tenth of a degree if necessary.C = 8°
A. F = -13.3° B. F = 22.2° C. F = 46.4° D. F = 72°