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(10 points) A person walking along a straight path has her velocity in miles per hour at time I given by the function 11(1) 2 0.25t3 1.5!2 + 31' + 0.25, for times in the interval 0 S I 5 2. The graph of this function is also given in each of the three diagrams below. Note that in each diagram, we use four rectangles to estimate the area under y = 00') on the interval [0, 2], but the method by which the four rectangles' respective heights are decided varies among the three individual graphs. Think about how the heights of the rectangles in the leftmost diagram are being chosen. Determine the value of S = A1 + A2 + A3 + A4 by evaluating the function y = v(t) at appropriatelychosen values and observing the width of each rectangle. Note, for example, that A3:v(1)-%:2-%:1. S: Use the rectangles in the middle diagram to find the value of T 2 B1 + 32 + B3 + B4. T 2 Use the rectangles in the right-most diagram to find the value of U = C1 + C2 + C3 + C4. U 2 Which estimate do you think is the best approximation of D, the total distance the person traveled on [0, 2]? Why