Consider the following position functions r and R for two objects.

a. Find the interval [c, d] over which the R trajectory is the same as the r trajectory over [a, b].
b. Find the velocity of both objects.
c. Graph the speed of the two objects over the intervals [a, b] and [c, d], respectively.

r(t)= , [a, b] = [0, 2π]
R(t)= 3t on [c, d]

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.