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
Answer: A
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A.
B.
C.
D.
Find the second-order partial derivatives of the given function. Show that the mixed partial derivatives fxy and fyx are equal.
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