Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.f(x) = 
and g(x) = 4x - 2
A. inverses
B. not inverses
Answer: B
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Find the area.Find the area under one arch of the cycloid 
A. 50? B. 75?2 C. 75? D. 15?
Solve the problem.Let D be the region that is bounded below by the cone 
and above by the sphere 
Set up the triple integral for the volume of D in spherical coordinates.
A. 
B. 
C. 
D. 
Solve the problem.The position (in centimeters) of an object oscillating up and down at the end of a spring is given by 
at time t (in seconds). The value of A is the amplitude of the motion, k is a measure of the stiffness of the spring, and m is the mass of the object. Find the object's acceleration at time t.
A. a = - A
sin 
cm/sec2
B. a = - A sin 
cm/sec2
C. a = 
cos 
cm/sec2
D. a = - 
sin 
cm/sec2
Solve the problem.An object is rolling with a driving force that suddenly ceases. The object then rolls 10 meters in the first second, and in each subsequent interval of time it rolls 80% of the distance it had rolled the second before. This slowing is due to friction. How far will the object eventually roll?
A. 50.0 m B. 12.2 m C. It will roll an infinite distance. D. 20.0 m