1. An athlete runs at velocity 13 km/h for 4 minutes, 14 km/h for the next 4 minutes, and 19 km/h for another 6 minutes. Compute the total distance traveled. 2. The velocity of an object is v(t)=20t m/s. Use the given equation and geometry to find the distance traveled over the time intervals [0,2] and [2,5]. 1. distance traveled over [0,2]: b. distance traveled over [2,5]: 3. Compute R6, L6, and M3 to estimate the distance traveled over [0,3] if the velocity at half-second intervals is as follows: t(s) 0 0.5 1.5 2 2.5 w v(m/s) 0 15 18 25 19 14 19 a. R6= b. L6= C. M3= 4. Estimate L4 and R4 over [0,3] for the function f(x)=5x2. 1. L4~ b. R4- 5. Calculate the approximation M4 for the given function and interval. f(x)=3-x, [1,3] M4~ 6. Use summation notation to rewrite the given sum in terms of k. (75+7)+(85+8)+(95+9)+(105+10)7. Write the sum (23+2)+(24+2)+(25+2)+(26+2) in summation notation in terms of k. 8. Use summation notation to rewrite the given sum in terms of k. 23-4+34-5+- - -+n(n+l)(n+2) 9. Write the sum exf5+exf6+ex+w+exfn in summation notation in terms of k. 10. Calculate the following sums. 11. Calculate the following sums. (a) _ si = 1=3 (b ) M *=4