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Matt S.

Advanced Mathematics Student with tutoring experience

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Pre-Calculus

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Question:

How do you sum 2 vectors analytically and geometrically.

Matt S.

Answer:

Analytically you sum the components of the vectors. Example V1 = < a , b > V2= < c , d > then V1 + V2 = < a + c, b + d >. Geometrically, you connect the vectors tip to tail.

Pre-Algebra

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Question:

What is the slope of a line.

Matt S.

Answer:

The slope of a line is the change of y divided by the change of x. It can be calculated by taking two coordinate points (x1, y1) and (x2, y2) and then taking the difference of the y coordinates and dividing by the difference of the x coordinates (y2-y1)/(x2-x1).

Calculus

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Question:

Define Velocity, Acceleration and Speed in terms of f(t). Where f(t) is the position at time t.

Matt S.

Answer:

If f(t) is the position at time t then f'(t)—the derivative of f(t)—is the velocity while the absolute value of f'(t) is the speed—since speed does not contain direction and f"(t)—the derivative of f'(t)—is the acceleration.

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