1. The object is thrown into air. Its height in feet above groud t seconds later is given by h(t)=-16t^2+30t+25.
a. Determine time when object reaches its maximum height.
b. How high does it achieve?
c. When does it land?
d. Graph of y=h(t)is parabola. Find physical meaning of y-intercept of parabola? (That is, what does y-intercept of parabola tell us about the object?)
2. Assume u(v(x))=1/x^2+1 and v(u(x))=1/(x+1)^2. Determine possible formulas for u(x) and v(x).
3. Assume f(x)=x^2-2x.
a. Determine f(x)-f(3)/x-3. Simplify the answer.
b. In English, Explain the meaning of the answer to part a?
c. Graphically, Expalin the meaning of answer to part a?
4. In 2000, number of people infected by the virus was P0. Due to new vaccine, number of infected people has decreased by 14% each year since 2000.
a. Determine the formula for P=f(n), number of infected people n years after 2000.
b. When will there be(or when were there) just half as several people infected as there were in 2000?