Word Count : 445

---

a) Consider the function (f(x) = 2 \cos x) over ([0, \pi/2]) with partitions [ P_1 = {0, \pi/3, \pi/2}, \quad P_2 = {0, \pi/6, \pi/3, \pi/2}. ] Step 1: Lower and Upper sums for (P_1) * Interval ([0, \pi/3]): (f_{\min} = \min_{[0, \pi/3]} 2\cos x = 2 \cos(\pi/3) = 2 \cdot 1/2 = 1) (f_{\max} = \max_{[0, \pi/3]} 2\cos x = 2 \cos 0 = 2) (\Delta x = \pi/3 - 0 = ______ ____ ____ ______ __________ _____ __________ ___ ________ __________.
___ ______ _____ ____ ________ ____ _____ ________ ________ _____ ___.
____ _____ _________ __________ _______ __________ __________ _____ ____ _________ __________.
________ ______ ______ ___ ___ _________ _________.
________ _______ ___ _____ ______ ___ ___ _________ ______ ___ ______.
_______ _______ __________ _________ _______.
_________ ________ ______ ______ __________ __________ _________ ____ ________.
________ ________ _____ ___ ________ _______ _____ _______ _____ _____ _________.
___ ________ ____ _______ _____.
__________ ____ _____ _____ _______ __________ ___ __________ ___ _____ ___.
___ _____ __________ _____ __________ _____ _____ ________ ____ ________ __________ ____.
________ ________ ___ ______ _______.
______ __________ _______ __________ ______ ____ ______ _____ _______ __________.
______ _________ _________ _______ ______ ___ ______ ____ _________ __________ ____.
_____ _____ ______ _________ ____ ______ _____ ________ _______ _____ _________.
_______ ____ __________ ____ _________ ________ _________ _________ ___ ________ ______.
____ ________ __________ _____ ___ __________ _______ ______ _______ ____ ___ ________.
_________ _____ ____ _________ ______ _________ _________ _______ ______ __________ ___.
__________ ______ _________ ______ __________ __________ _________ __________ __________ ________.
_______ ___ ___ _______ ______ _______ _____ ____.
__________ _________ ___ ________ _________ _____ ___ ____ ________ _______ ___.
_______ ___ _________ ________ _________ ______ ____ _________.
___ _________ ____ _____ ______ ________ _______ ___ ______.
______ ________ _____ ______ _______ _________ ____ _________.
_______ ___ ________ ______ ___ _______ _____ ________.
____ ________ ________ _________ ________.
_______ ____ ____ _______ ____ ____.
_______ ________ _________ __________ _______ _______ ___ ______ ______ ________.
___ ___ ______ ________ ________ ______ _________ ______ ___.
_____ _________ _________ ______ _____ ____ ________ _____ _________.
______ _________ _____ ____ _____ ___ ____.
______ _______ ____ __________ ______ _____ ______ ____.
_________ _______ _______ _____ ________ ______ ________.
_____ _________ ___ _________ ________ ____ _________ ________ ____.
__________ __________ ______ _________ _______ ________ ____ ___ ___ _____ ________.
___ _________ ____ _________ _______ __________ _________.
______ _______ _______ __________ ________ _______ ______ ________ __________ _____.
_____ __________ _________ ____ ___ __________ ________ _______ ______ __________ ______ __________.
______ _______ _________ ________ ________ _______ ____.
_____ ________ __________ _________ ______ _____.
______ ______ ___ ______ ______ ___ ____ _____ _______ _________ ________ _______.
Get Full Answer on WhatsApp