Unit 1
The average maximum height of children in inches as a function of their parents' maximum heights in inches can be modeled by the following piecewise function. Find the average maximum heights of children whose parents have the given maximum heights. Use h(x) where x is independent variable representing the parents' height and h(x) is the dependent variable representing the child's height.
h(x)= 1.6-41.6 if 63 < x < 66
3x-132 if 66 < or = x < or = 68
2x-66 if x > 68
h(x)= 1.6-41.6 if 63 < x < 66
3x-132 if 66 < or = x < or = 68
2x-66 if x > 68
unit 2
The diagram of an electrical current shows three parallel resistors. If R is the equivalent resistance of the three resistors, the 1/R = 1/R(1)+1/R(2)+1/R(3). in this circuit R(1) is twice the resistance of R(2) and R(3) equals 20 ohms. Suppose the equivalent resistance is equal to 10 ohms Find R(1) and R(2).
unit 3
Use the information at the left to write a sinusoidal function that models the number of hours of daylight for New York City as a function of time x, where x=1 represents January 15, x=2 represents February 15, and so on. Then use your model to estimate the number of hours of daylight on September 30 in New York City.
unit 4
A tennis ball leaves the racquet and heads towards a net 40 feet away. The height of the net is the same height as the initial height of the tennis ball. If the ball is hit at 50 feet per second, neglecting air resistance, use d=1/32v(o)^2 sin 2x to find the interval of possible angles of the ball needed to clear the net.