1) The number of females in science continues to show steady increases. The number of female researchers in a certain country can be modeled by the function F(x)=0.753x to the power 1.277,

where x is the number of years after 1960 and F(x) is the number of female researchers in thousands.

a.

What type of function is this?

b.

What is F(20)? What does it mean?

c.

How many female researchers will there be in 2020?

2)Find the exact solutions to f(x)=0 in the complex numbers and confirm that the solutions are not real by showing that the graph of y=f(x) does not cross the x-axis. x2+25=0

3) If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S=12+96t16t2 feet, where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 120 feet?

4) The total revenue function for a product is given by R=360x dollars, and the total cost function for this same product is given by C=6000+40x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 12 units are produced and sold? c. What is the profit when

25 units are produced and sold? d. How many units must be sold to break even on this product?