Write the expression in the standard form a + bi.5i5(1 + i3)

A. -5 + 5i
B. -5 - 5i
C. 5 - 5i
D. 5 + 5i


Answer: D

Mathematics

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Determine whether the improper integral converges or diverges.

A. Converges B. Diverges

Mathematics

Multiply, and then simplify if possible. Assume all variables represent positive real numbers.( + 5)2

A. 4x + 25 + 25
B. 4x + 25 + 22
C. 4x + 10 + 22
D. 4x + 10 + 25

Mathematics

Provide an appropriate response.Identify which of the following properties apply to the graph of   I. The domain is all real numbers except integer multiples of ?.  II. The range is [-1, 1]  III. The equations of the vertical asymptotes are , where n is an odd integer.  IV. The function obtains a relative maximum at x = 2n? where n is an integer.

A. I and II B. III and IV C. II and IV D. III only

Mathematics

Find the indicated roots. Write the answer in trigonometric form.Fifth roots of 243(cos 240° + i sin 240°)

A. 3(cos 48° + i sin 48°), 3(cos 138° + i sin 138°), 3(cos 228° + i sin 228°), 3(cos 318° + i sin 318°), 
B. 3(cos 48° + i sin 48°), 3(cos 120° + i sin 120°), 3(cos 192° + i sin 192°), 3(cos 264° + i sin 264°), 
C. 3(cos 240° + i sin 240°), 3(cos 330° + i sin 330°), 3(cos 420° + i sin 420°), 3(cos 510° + i sin 510°), 
D. 3(cos 240° + i sin 240°), 3(cos 312° + i sin 312°), 3(cos 384° + i sin 384°), 3(cos 456° + i sin 456°), 

Mathematics