1.1 Review of calculus 7 Figure 1.6 +u限L田田 and Maple tells us that f(x)=fp(x)=0 for x in [1, 2] when x is 1.358229874 We evaluate f(r)at this point with the command The is interpreted as the last Maple response. The value of f at the critical point is 5675301338 As a consequence, the absolute maximum value of f(x)in[1, 2]is f(2)=-0.241008123 and the absolute minimum value is f(1.358229874)=-5675301338, accurate at least to the places listed (b) When the interval is [0.5, 1] we have the values at the endpoints given by f(0.5)=5cos1-lsin1=1.860040545andf(1)=5c0s2-2sin2=-3.899329036 However, when we attempt to determine the critical point in the interval [0.5, 1] with the ommand fsolve (p(r), x, 0.5. 1 Copyright 2010 Cengage Learning. All Rights t materially affect the overall leaming eaperience Cengage Learning reserves the right to remo rty commen may be suppressed from the eBook andor eChaptert'sh. May no be copied, scanned, or duplicated, in whole or in part Due to1.1 Review of Calculus 7 Figure 1.6 and Maple tells us that f  (x) = fp(x) = 0 for x in [1, 2] when x is 1.358229874 We evaluate f (x) at this point with the command f (%) The % is interpreted as the last Maple response. The value of f at the critical point is −5.675301338 As a consequence, the absolute maximum value of f (x) in [1, 2] is f (2) = −0.241008123 and the absolute minimum value is f (1.358229874) = −5.675301338, accurate at least to the places listed. (b) When the interval is [0.5, 1] we have the values at the endpoints given by f (0.5) = 5 cos 1 − 1 sin 1 = 1.860040545 and f (1) = 5 cos 2 − 2 sin 2 = − 3.899329036. However, when we attempt to determine the critical point in the interval [0.5, 1] with the command fsolve(fp(x), x, 0.5 . . 1) Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it