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Tutor profile: Alex K.

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Alex K.
Tutor in Math, Writing, and Study Skills, Undergraduate Math Major
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Questions

Subject: Study Skills

TutorMe
Question:

Why is it important to know your own learning style?

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Alex K.
Answer:

If you know your personal learning style, you will be able to best modify coursework to help yourself. For example, if you are a visual learner, redrawing figures from class will help solidify the material for yourself.

Subject: Calculus

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Question:

Find a linear approximation to f(x) = 3 x e^(2x−10) at x = 5.

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Alex K.
Answer:

First, find the derivative of the expression above. f′(x) = 3 e ^(2 x − 10) +6 x e^(2 x − 10) Then evaluate the function and the first derivative at 5. f(5) = 15 f′(5) = 33 The form for a linear approximation is: L(x) = f(x) + f'(x)(x - [value evaluated at]) Then, plug in the values: L(x) = 15 - 33(x - 5) L(x) = 33x - 150

Subject: Algebra

TutorMe
Question:

Simplify the following expression: y(x + 3) - x(2y + 4) - 7x - 8y + 2

Inactive
Alex K.
Answer:

y(x + 3) - x(2y + 4) - 7x - 8y + 2 = yx + 3y - 2xy - 4x - 7x - 8y + 2 = -xy - 11x - 5y + 2

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