Simplify by dividing.
A. -1
B. 4
C. 0
D. 1
Answer: A
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Find the indicated derivative. Assume that x is restricted so that ln is defined.Dx ln(x7 - 5x - ?)
A. 
B. 
C. 
D. 
Solve the problem.The gravitational force (in lb) of attraction between two objects is given by 
where x is the distance between the objects. If the objects are 5 ft apart, find the work required to separate them until they are 50 ft apart. Express the result in terms of k.
A. 
k
B. 
k
C. 
k
D. 
k
Provide an appropriate response.The dual of Minimize Z = x1 + 3x2 subject tox1 - 2x2 ?43x1 + x2 ?1x1, x2 ?0is:
A. Maximize W = 4y1 + y2 subject to y1 + 3y2 ? 1; - 2y1 + y2 ? 3; y1, y2 ? 0. B. Maximize W = 4y1 + y2 subject to y1 - 2y2 ? 1; 3y1 + y2 ? 3; y1, y2, ? 0. C. Maximize W = y1 + 3y2 subject to y1 + 3y2 ? 4; - 2y1 + y2 ? 1; y1, y2 ? 0. D. Maximize W = y1 + 3y2 subject to y1 - 2y2 ? 4; 3y1 + y2 ? 1; y1, y2 ? 0. E. Maximize W = 4y1 + y2 subject to y1 + 3y2 ? 1; - 2y1 + y2 ? 3; y1, y2 ? 0.
Rationalize the denominator. Assume that all variables represent positive real numbers and that the denominator is not zero.
A. 6x
B. 6x
C. 
D. 