Write the complex number in polar form. Express the argument ? in degrees, with 0 ? ? ? 360°.-
- i
A. (cos 225° + i sin 225°)
B. (cos 45° + i sin 45°)
C. (cos 135° + i sin 135°)
D. (cos 315° + i sin 315°)
Answer: A
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Expand, where i2 = -1.(-1 + i)3
A. 8 B. 4 + 4i C. 1 D. -1 - 3i
Solve the problem.The position of a particle moving along a coordinate line is s = with s in meters and t in seconds. Find the particle's acceleration at
A. - m/sec2
B. - m/sec2
C. m/sec2
D. m/sec2
Solve the following system by any appropriate method. If there is no real number solution, so state.4x2 + 6y2 = 54y = x + 3
A. (0, -3), (,
)
B. (0, -3), (- , -
)
C. (0, 3), (,
)
D. (0, 3), (- , -
)
Solve the problem.On a gambling boat, Gertrude doubled her bet each time she won. If her first winning bet was $5 and she won six consecutive bets, find how much she won on the sixth bet. Find the total amount she won on these six bets.
A. $160; $315 B. $320; $635 C. $80; $155 D. $320; $315