#1 Particle A moves along a horizontal line with a velocity where Vis a positive in cm/sec. The velocity () continuous function of t. The time t is measured in seconds, and the velocity is measured of the particle at selected times is given in the table below. t (sec) 0 2 5 7 10 v)(cm/sec) 1.7 6.8 7.4 15.6 24.9 Use data from the table to approximate the distance traveled by particle A over the interval 0 1 10 seconds by using a right Riemann sum with four subintervals. Show the computations that lead to your answer, and indicate units of measure. 2(f) + 3(((5)) + 2(417) + 3 (F(10) =141.74m #2 Let y() represent the population of a town over a 20-year period, where y is a differentiable function of t. The table below shows the population recorded at selected times. 0 4. 10 13 20 (yrs) y(people) 2500 2724 3108 3697 4283 Use data from the table to find an approximation for y' (12), and explain the meaning of y' (12) in terms of the population of the town. Show the computations that lead to your answer. y'(12)=4(13)-4(10) = (3697)-(3108) 13-10 13-10 Use data from the table and a trapezoidal approximation with four subintervals to approximate the average population of the town over the 20-year period. Show the putations that lead to your answer. =