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 Locate the absolute extrema of the function y=x22cosx on the closed interval \text { Locate the absolute extrema of the function } y = x ^ { 2 } - 2 \cos x \text { on the closed interval }

Question 18

Multiple Choice

 Locate the absolute extrema of the function y=x22cosx on the closed interval \text { Locate the absolute extrema of the function } y = x ^ { 2 } - 2 \cos x \text { on the closed interval } [3,5]. Round your answers to four decimal places. [ - 3,5 ] \text {. Round your answers to four decimal places. }


A) left endpoint: (3,10.9800) ( - 3,10.9800 )
right endpoint: (5,24.4327) ( 5,24.4327 ) absolute maximum
critical points: (0,0.0000) ( 0,0.0000 ) absolute minimum

B) left endpoint: (3,6.2822) ( - 3 , - 6.2822 ) absolute minimum
right endpoint: (5,8.0822) ( 5,8.0822 ) absolute maximum
critical points: none

C) left endpoint: (3,6.2822) ( - 3 , - 6.2822 ) absolute minimum
right endpoint: (5,8.0822) ( 5,8.0822 ) absolute maximum
critical points: (0,0.0000) ( 0,0.0000 )

D) left endpoint: (3,10.9800) ( - 3,10.9800 ) absolute minimum
right endpoint: (5,24.4327) ( 5,24.4327 ) absolute maximum
critical points: none

E) left endpoint: (3,10.9800) ( - 3,10.9800 )
right endpoint: (5,24.4327) ( 5,24.4327 ) absolute maximum
critical points: (0,2.0000) ( 0 , - 2.0000 ) absolute minimum

Correct Answer:

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