Divide. Express the quotient in lowest terms.
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Answer: C
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Find the first five partial sums of the given series and determine whether the series is convergent or divergent. If it is convergent, then find its sum.
A. 0.6667, 0.8, 0.8571, 0.8889, 0.9091; convergent; 0 B. 0.6667, 1.4667, 2.3238, 3.2127, 4.2128; convergent; 4.5 C. 0.6667, 1.4667, 2.3238, 3.2127, 4.2128; divergent D. 0.6667, 0.8, 0.8571, 0.8889, 0.9091; divergent
In the figure, find the measure of ?1.
Multiply. Be sure your answer is simplified.
? 9
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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 = 0.8 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 5.5 N B. 5.3 N C. 5.6 N D. 6.7 N