QUESTION 4 Let R be the region bounded by the graph y = f (x) of a function f and x-axis for a in [a, b] whose area is given by the limit of the right endpoint approximations below A(R) = lim 3 SIA 1 - 00 Find f and [a, b]. As your answer please input f (2 ) in decimal form with three significant digits after the decimal point. QUESTION 5 Let f (x) = sin () + 1. Find the left and the right endpoint approximations of the area A (R) of the region R bounded by the graph y = f (x) and the x-axis for X in [0, 7] using points X0 = 0, X1 = 6, X2 = 3, 23 = 2, 24 = 25, 3, 25= 5x 6, and *6 = 7. If Le and Re denote the left and the right endpoint approximations respectively, please enter Re - Le as your answer in decimal form with three significant digits after the decimal point. QUESTION 6 The following data t 0 5 10 15 20 25 30 v (t) 50 61 65 63 55 50 45 shows the velocity of a particle every 5 seconds over a period of 30 seconds. Give the left endpoint estimate for the total distance travelled by the particle over 30 second period