Use the fundamental identities and appropriate algebraic operations to simplify the expression.
A. sec x
B. -sec x
C. 1
D. csc x
Answer: A
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Provide an appropriate response.A catamaran is running along a course with the wind providing a constant force of 70 lb. The only other force acting on the boat is resistance as the boat moves through the water. The resisting force is numerically equal to two times the boat's speed, and the initial velocity is 1 ft/sec. What is the maximum velocity in feet per second of the boat under this wind?
A. The maximum velocity occurs when 
= 18 or v = 0 ft/sec
B. The maximum velocity occurs when 
= 35 or v = 0 ft/sec
C. The maximum velocity occurs when 
= 0 or v = 18 ft/sec
D. The maximum velocity occurs when 
= 0 or v = 35 ft/sec
Find the first three terms of the Taylor series in x - a.sin x, a = 
A. 
- 
2 + 
3 - . . .
B. 
C. 
D. 
- 
2 + 
3 - . . .
Simplify the complex rational expression.
A. 
B. 
C. 
D. 
x + 
For the given pair of functions, find the requested function.f(x) = 4x - 2, g(x) = -7x2 - 9x + 6; (f - g)(x)
A. 7x2 + 13x - 8 B. -7x2 + 13x + 8 C. 7x2 - 5x - 8 D. -7x2 - 5x + 4