Help with Calculus

8. The function f is continuous son the interval [2, 10] with some of its values given in the table below. Use a left Riemann Sum approximation with 4 rectangles to approximate f f(x)dx . (2 points) 10 x 2479 10 f(x) 0 3 8 15 18 O 30.5 O 78.0 O 40.0 O 59.09' The function f is continuous on the interval [3, 11] with some of its values given in the table below. Use the data in the table to approximate f '(4). (2 points) x 3 58 1011 f(x) -4410 16 20 00 04 0-4 0 None of these 10. A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its velocity v(t) given in the table below. Use a trapezoidal sum with 4 intervals to approximate the total distance the particle travelled in the time interval [3, 13]. (2 points) t 37101213 v(t)59 14 18 24 277.50 136.75 115.50 0000 87.50 11.The table of values below shows the rate of oil consumption in gallons per minute at selected time intervals from t = 0 to t = 12. Using a left Riemann sum with 5 subintervals estimate the total amount of oil consumed in that time interval. Give your answer correct to 1 decimal place. (2 points) x 02 5 7 1112 f(x)74.03.22.21.6 1