Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.

A. f = , local minimum
B. saddle point
C. f = , local minimum
D. f(6, 6) = 1080, local maximum

Answer: B

Mathematics

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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 = 0.6 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.

A. 4.2 N B. 4 N C. 3.9 N D. 5 N

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Mathematics