Name: ____________________________ Date: ________________________

MCR3U: HW Choice #8
Due: Tuesday, May 29th, 2007

	Please answer four out of the five questions asked.  Good luck and have fun!

1) For the following, state the period, axis, amplitude and axis of the curve
a) y = -2 sin(x + 10°)			b) g(x) = 0.2 sin (x - 15°) + 1
c) y = cos(5x) + 7				d) h(x) = -sin[0.25(x + 37°)] – 2
e) y = 9 cos (2 (x + 6°)) – 5			f) d = -6 cos(3t) + 22

2) Graph the following for three cycles:
a) y = 3 sin x + 2				b) y = 0.5 sin 2(x - 30°)

3) Each person’s blood pressure is different.  But there is a range of blood pressure values that is considered healthy.  For a person at rest, the function 
P(t) = -20 cos(300t) + 100 models the blood pressure, P(t), in millimeters of mercury at time t seconds.
a)	What is the period of the function?  What does the period represent for an individual?
b)	What is the range of the function?  Explain the meaning of the range in terms of a person’s blood pressure.

4) Solve for θ (to one decimal place).  Domain is 0 ≤ θ ≤ 360° 
a) 4 cos θ + 1 = -2		b) 5 sin 2θ = 3 sin 2θ + 1	   c) 2 tan (θ + 45°) = -1

5) The horizontal distance, d, in metres, of a baseball’s path when it is hit by a bat can be modeled by , where v is the initial speed of the ball in metres per second and θ is the angle at which the ball leaves the bat.
a) A home run travels a horizontal distance of 142m.  The ball leaves the bat at an angle of 43°.  Determine the initial speed of the ball.
b) The ball travels a horizontal distance of 59m and leaves the bat at a speed of 30m/s.  Determine the angle at which the ball was struck if
	i) it was a line drive			ii) it was a fly ball