Question 1 (2 points) If fy f (x) dx = 2 and fy f(x) dx = 7 then fy f (x) dx equals O a -5 O b -4 O C 5 O d 4Question 2 {1o palms} Let us find the area of the region bounded by ne) = m2 2 and gm} = $2 + 2m + 2 The two functions are both :flx] opens while got] opens .Thus. the upper curve is [find or god] and the lower curve is [fix] or god]. The SIMPLIFIED expression for nding the area bounded by the two curves is fl )dx, with limits from to .iExpress integrand in decreasing powers ofx} Evaluating the integral, the area function is .to be evaluated using the same limits. Evaluating the definite integral. the numerical value of the area is square units. Blank 1: Blank 2: Blank4:| | Blank 5: Blank 6: Blank 1': Blank B: Blank 9: \fQuestion 4 (6 points) The velocity of a particle moving along a horizontal line is described by U(t) = t - 2t mis. Initially, the object's position is at s = 0. (A) What is the position of the particle after 4 seconds? Answer: m, to the of the initial position. (B) What is the total distance travelled by the particle after 4 seconds? Hint: the total distance equals the total area bounded by the the graph of the velocity function and the t-axis in the given time interval. Answer: m. Blank 1: Blank 2: Blank 3