Question

(3 points)
use four rectangles to find an estimate of each type for the area under the given graph of f from x = 1 to x = 9.

1. take the sample points from the left - endpoints.

answer: l4=

1. is your estimate l4 an underestimate or overestimate of the true area? choose one
2. take the sample points from the right - endpoints.

answer: r4=

1. is your estimate r4 an underestimate or overestimate of the true area? choose one
2. use the trapezoid rule with n = 4.

answer: t4=

1. is your estimate t4 an underestimate or overestimate of the true area? choose one

Explanation:

Answer:

(1) <Value of \(L_4\) (needs graph - based height values to calculate)>
(2) Underestimate
(3) <Value of \(R_4\) (needs graph - based height values to calculate)>
(4) Overestimate
(5) <Value of \(T_4\) (needs graph - based height values to calculate)>
(6) Overestimate