Provide an appropriate response.Why can't 1 be the base of a logarithmic function?
What will be an ideal response?
Answers may vary. One possibility: If the base of a logarithm were 1, as in y = log1
, then for all values of y, x would equal 1. A function requires each x-coordinate to have a unique y-coordinate. Thus, the equation y = log1
, whose graph would be equivalent to the line 
would not be a function.
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Find the limit.
sec x
A. 0 B. ? C. -? D. 1
Solve the problem.One rope pulls a barge directly east with a force of 90 N (Newtons), and another rope pulls the barge directly north with a force of 87 N. Find the magnitude of the resultant force acting on the barge.
A. 3 N B. 7800 N C. 177 N D. 125 N
Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 60°? If necessary, round the answer to the nearest tenth of a Newton.
A. 6.8 N B. 2.4 N C. 6.5 N D. 3.9 N
The rectangular coordinates of a point are given. Find polar coordinates for the point.(0, 6)
A. (6, ?)
B. 
C. (6, 0)
D. 