Multiple Choice
Given that ![Given that (t) < 0 on the interval [a, b], what can be said about the relationship between the values of the integral I = dx, the Trapezoid Rule approximation for I, and the Midpoint Rule approximation for I? A) T<sub>n</sub> < I < M<sub>n</sub> B) M<sub>n</sub> < I < T<sub>n</sub> C) I < M<sub>n</sub> < T<sub>n</sub> D) T<sub>n</sub> < M<sub>n</sub> < I E) It is impossible to tell.](https://d2lvgg3v3hfg70.cloudfront.net/TB9661/11ee77e1_780a_1eaf_a0f8_8795cb0c4553_TB9661_11.jpg)
(t) < 0 on the interval [a, b], what can be said about the relationship between the values of the integral I = ![Given that (t) < 0 on the interval [a, b], what can be said about the relationship between the values of the integral I = dx, the Trapezoid Rule approximation for I, and the Midpoint Rule approximation for I? A) T<sub>n</sub> < I < M<sub>n</sub> B) M<sub>n</sub> < I < T<sub>n</sub> C) I < M<sub>n</sub> < T<sub>n</sub> D) T<sub>n</sub> < M<sub>n</sub> < I E) It is impossible to tell.](https://d2lvgg3v3hfg70.cloudfront.net/TB9661/11ee77e1_780a_1eb0_a0f8_0b19a2b51518_TB9661_11.jpg)
dx, the Trapezoid Rule approximation ![Given that (t) < 0 on the interval [a, b], what can be said about the relationship between the values of the integral I = dx, the Trapezoid Rule approximation for I, and the Midpoint Rule approximation for I? A) T<sub>n</sub> < I < M<sub>n</sub> B) M<sub>n</sub> < I < T<sub>n</sub> C) I < M<sub>n</sub> < T<sub>n</sub> D) T<sub>n</sub> < M<sub>n</sub> < I E) It is impossible to tell.](https://d2lvgg3v3hfg70.cloudfront.net/TB9661/11ee77e1_780a_1eb1_a0f8_81ad11ef6dca_TB9661_11.jpg)
for I, and the Midpoint Rule approximation ![Given that (t) < 0 on the interval [a, b], what can be said about the relationship between the values of the integral I = dx, the Trapezoid Rule approximation for I, and the Midpoint Rule approximation for I? A) T<sub>n</sub> < I < M<sub>n</sub> B) M<sub>n</sub> < I < T<sub>n</sub> C) I < M<sub>n</sub> < T<sub>n</sub> D) T<sub>n</sub> < M<sub>n</sub> < I E) It is impossible to tell.](https://d2lvgg3v3hfg70.cloudfront.net/TB9661/11ee77e1_780a_1eb2_a0f8_6b3273135d31_TB9661_11.jpg)
for I?
A) Tn < I < Mn
B) Mn < I < Tn
C) I < Mn < Tn
D) Tn < Mn < I
E) It is impossible to tell.
Correct Answer:
Verified
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