Homework Sourse1 Use the table of values to estimate Use three equal subint
1. Use the table of values to estimate
Use three equal subintervals and the (a) left endpoints, (b) right
endpoints, and (c) midpoints. If is an increasing function,
how does each estimate compare with the actual value? Explain
your reasoning.
?[0,6,f(x)] dx
x 0 1 2 3 4 5 6
f (x) 6 0 8 18 30 50 80
Use three equal subintervals and the (a) left endpoints, (b) right
endpoints, and (c) midpoints. If is an increasing function,
how does each estimate compare with the actual value? Explain
your reasoning.
?[0,6,f(x)] dx
x 0 1 2 3 4 5 6
f (x) 6 0 8 18 30 50 80
Solution
dont know if i am right integral f(x)dx = by basic definition of integration (f(1)-f(0))(1-0)/2 + (f(2)-f(1))(2-1)/2 +(f(3)-f(2))(3-2)/2 +(f(4)-f(3))(4-3)/2 +(f(5)-f(4))(5-4)/2 + (f(6)-f(5))(6-5)/2 = (0-6)/2 +(8-0)/2 + (18-8)/2 + (30-18)/2 + (50-30)/2 + (80-50)/2 = -3+4+5+6+10+15 =37 thank You!
