Write in terms of i.

A. -i
B. ±11 
C. -11i 
D. 11i 


Answer: D

Mathematics

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Find the derivative.y = sin3 x - cos 3x

A. 3 sin2 x cos x + 3 sin 3x B. 3 sin3 x cos x - 3 sin 3x C. 9 sin2 x cos x sin 3x D. 3 sin2 x + sin 3x

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Provide an appropriate response.Sketch a graph of f(x) = (x - 5)3

What will be an ideal response?

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Solve the problem. Round to the nearest hundredth, if necessary.A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 210 and a standard deviation of 50. If an applicant is randomly selected, find the percentage of applicants with a rating that is between 165 and 220.

A. 39.52% B. 57.93% C. 21.11% D. 18.41%

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The loudness L(x), measured in decibels, of a sound of intensity x, measured in watts per square meter, is defined as  watt per square meter is the least intense sound that a human ear can detect. Determine the loudness, in decibels, of the sound.At a recent Phish rock concert, sound intensity reached a level of 0.50 watt per square meter. To the nearest whole number, calculate the loudness of this sound in decibels.

A. 117 decibels B. 107 decibels C. 112 decibels D. 123 decibels

Mathematics