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)
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.
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.