9. For an object whose velocity is given by v(t) = 3 -t, what is its dispacement on the intervalt = 0 tot = 4? O 4 0 5 O O O -1 10. Which of the following is an equation of a line that is tangent to the curve x' + y' = 25 at * = 4? Oy= $2-4 O y= - $1 4 25 O y= -20-3 Oy= - fa+ + and y = fa - Oy= fu+ { andy= -4x- } 11. Given that f (x) = 3va - 4 and f (1) = -1, ifg is the inverse of f , what is the value of g /(-1)? O O O C O1. Find the area of the region enclosed by the functions f (x) = (x - 1)', g(2) = 12, and the x-axis. O 12 O OO O 12 2. Which of the following integrals correctly describes the area enclosed by the functions f (x) = et, g(x) = x', y = 0 and x = -2, given that f (x) and g(x) intersect at the point (21, 31)? Of [2 - e ] da Of [-Vy - In(y)] dy Ofher da + . at da Of, [ex - x ] da O fo ' (vy + 2) dy + J. [vy - In(y)] dy 3. Find the area of the region enclosed by the functions a = and y = 3 -c. O O 36 135 O O 15 O 4. What is the area between the curves y = sin (2) y=1, X- 7 , and x =1? O 1 O +1 O 31 + 2 O22. A manager of a small restaurant keeps track of the rate at which customers enter his restaurant between the hours of 11 am and 9 pm, a 10-hour time interval. The rate at which customers enter the restaurant is given by the piecewise equation 10 - 14-2) 0