Question

Notesheet 5.1-Areas and Distances(Riemann Sums) Book Section 5.1: NAME: 1. Fill in the blanks to make mathematically correct sentences. A Riemann Sums is a of estimating the under a by dividing the into b. The Right Riemann sum formula for the area under flu) on (a, b) is given by: c. The Left Riemann sum formula for the area under f(x) on (a,b] is given by: c. The Midpoint Riemann sum formula for the area under f(x) on (0,5) is given by: 2. Estimate the area of the region that lies under the graph of f(x) = c between 0 and x = 5 using Right Riemann Sum with n 10 rectangles. 10 18 06

Answer 1

soi:- 1) under A Riemann sum is a method of estimating the total area a curve by dividing the under curve into a rectangle 6) The Riemann sum toomula for area under bow on [9.67 by is given b Sim $(x) dx - sx ($13) + blm2) + 6(83) +..... (Xn-1 ) + F(xa 1) when ax = 6-a n C) The left Riemann sum formula for area under f(x) on [a,b] is given by 6 Stemden cs AX (+ éco) + «) + 2 tas) + . +(10-2) + + (x.-)) Where ax=6-a d) formula for area under th) on [a,b] The midpoint Riemann sum is given by forse - sul Garda) ** (ang)*(99)--- * (**): 10:50) 0 Where are a bra