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Tutor profile: Abdullah D.

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Abdullah D.
University of Michigan Mathematics Graduate; Experience with some of the world's Premier Financial Companies
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Questions

Subject: Calculus

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Question:

Find all the solutions to 4sin(3t) = 2.

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Abdullah D.
Answer:

t = π/18 + 2πn/3. We first isolate the trigonometric function, and get sin(3t) = 1/2. Since we are dealing with the sin function, we must look for where on the unit circle sin equals 1/2. It is at π/6 and 5π/6. Also we know that we can get these same solutions by adding 2π to them. So we get 3t = π/6 + 2πn. We divide both sides by 3 in order to get t = π/18 + 2πn/3.

Subject: Statistics

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Question:

What is more sensitive to outliers in a set of data, the median or the mean?

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Abdullah D.
Answer:

The mean is more sensitive, as it is calculated using all the values of the data set, so therefore can shift more due to outliers.

Subject: Algebra

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Question:

Write an equation of the line that is perpendicular to a line with slope -3 and y-intercept (0 , -5)

Inactive
Abdullah D.
Answer:

y = (1/3)x - 5. This equation represents a line that is perpendicular to a line with slope 3, as the slope is the inverse reciprocal, and it passes through the point (0,-5)

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