Jake A.

Vanderbilt undergraduate with several years tutoring experience

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Java Programming

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Question:

When creating an array of points, the statement: Point p [] = new Point [4]; will create an array of 4 points, all with the values (0,0). True or false, explain.

Jake A.

Answer:

False, because although integers and doubles start with values of 0 as their initialization, points and strings start with 'null' as their placeholders. This is a common mistake.

Calculus

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Question:

The figure above shows the graph of f , the derivative of a twice-differentiable function f, on the interval [3, 4] . The graph of f has horizontal tangents at x = 1, -1, and 3. The areas of the regions bounded by the x-axis and the graph of f on the intervals [2, 1] and [1, 4] are 9 and 12, respectively. Find all x-coordinates at which f has a relative maximum. Give a reason for your answer.

Jake A.

Answer:

f has a relative maximum whenever f ' changes sign from positive to negative. This occurs, according to the graph, at x = −2 .

Algebra

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Question:

Factor 18x 2 - 39x + 20

Jake A.

Answer:

(3x - 4)(6x - 5)

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