Find a function that models simple harmonic motion having the given properties. Assume that the displacement is maximum at time t = 0.
amplitude 2.5 m , frequency 750 Hz
y = 2.5 cos 1500?t
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Determine if the geometric series converges or diverges. If it converges, find its sum.1 + (-4) + (-4)2 + (-4)3 + (-4)4 + . . .
A. diverges B. converges, 16 C. converges, 4 D. converges, 40
Solve the problem.Find the work done by a force of 8i (newtons) in moving as object along a line from the origin to the point 
(distance in meters).
A. 16.97 joules
B. 24
joules
C. 24 joules
D. 8
joules
Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.y'(t) = 10t4 - 12t2 + 8 - 12t-3
A. y = 2t5 - 4t3 + 8t - 6t-2 + C B. y = 2t5 - 4t3 - 8t - 6t-2 + C C. y = 2t5 - 4t3 + 8t + 6t-2 + C D. y = 2t5 - 4t3 + 8 + 6t-2 + C
Solve the system by substitution.
A. (0, 1) B. (1, 1) C. (0, 0) D. (1, 0)