An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = -5 sin 5t meters
A. displacement = 5 meters; period = seconds; f =
? oscillations/second
B. displacement = -5 meters; period = ? seconds; f =
oscillations/second
C. displacement = -5 meters; period = 5 ? seconds; f = oscillations/second
D. displacement = 5 meters; period = ? seconds; f =
oscillations/second
Answer: D
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Find the sample standard deviation.3, 3, 18, 10, 6, 14, 13, 18, 12
A. 29.5 B. 33.2 C. 5.8 D. 5.4
Use an inverse matrix to find the solution to the system.
A. x = 4, y = 1, z = 2 B. x = -4, y = 1, z = 8 C. x = 4, y = 2, z = 1 D. x = -4, y = 8, z = 1
Use the product rule to simplify.
A. 7
B. 17
C. 49
D. 7
A workshop of Peter's Potters makes vases and pitchers. Profit on a vase is $3, profit on a pitcher is $4. Each vase requires hour of labor, each pitcher requires 1 hour of labor. Each item requires 1 unit of time in the kiln. Labor is limited to 4 hours per day and kiln time is limited to 6 units per day. Initial and final tableaux are shown in finding the production plan that will maximize profits: (x = the number of vases and y = the number of pitchers made per day).
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(initial)(final)How much surplus kiln time is available when the optimal plan is in effect?
A. 2 units
B. 1 unit
C. 4 units
D. 0 units
E. none of these