# Tutor profile: Lauren T.

## Questions

### Subject: Physics (Newtonian Mechanics)

You have a boat capable of moving at 5 m/s in still water. You are at the south end of a lake where a constant current is moving at 2 m/s east. If you aim your boat north, what will be the net velocity of your boat, and the magnitude relative to where you started? Net velocity a) 3 m/s b) 4.6 m/s c) 5 m/s d) 5.4 m/s Magnitude a) 36 degrees east of north b) 22 degrees east of north c) 4.6 degrees east of north d) 18 degrees east of north

d) and b)

### Subject: Pre-Calculus

Let the function h be defined as h(x) = 2cos(10x) + 12. The maximum h value is at which value of x? a) pi/5 b) pi/10 c) pi/15 d) pi/20

a) pi/5 Graph the function. Test each value, and see if it makes the most sense with the graph.

### Subject: Algebra

solve: y (3y-2) - 6 = -3y (1-y)

a) 4 b) -6 c) 8 d) 6 The answer is d) 6 Solution: First, distribute on each side. Next, combine like terms and notice that the y^2 terms cancel out. After combining like terms, simplify and divide.

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