Question

The critical numbers of f(x)=9 cos (2 x)+9 x on the interval of (0,2 pi ) are x=pi /12, x=5 pi /12, x=13 pi /12 and x=17 pi /12. Identify the x values on (0,2 pi ) at which f(x) has a relative maximum. [ pi /12 and 13 pi /12; 13 pi /12 and 17 pi /12; pi /12, 13 pi /12 and 17 pi /12; pi /12 and 17 pi /12; pi /12 and 5 pi /12; 5 pi /12 and 13 pi /12; pi /12, 5 pi /12 and 13 pi /12; 5 pi /12 and 17 pi /12 ]

Name: the critical numbers of fx9 cos 2 x9 x on the interval of 02 pi are xpi 12 x5 pi 12 x13 pi 12 and x17 pi 12 identify the x values on 02 pi at which fx has a relative maximum pi 12 and 13 pi 97273
Uploaded: 2021-07-28T18:22:41-08:00
Duration: 3 min 27 s
Channel: Nick Johnson
Description: the critical numbers of fx9 cos 2 x9 x on the interval of 02 pi are xpi 12 x5 pi 12 x13 pi 12 and x17 pi 12 identify the x values on 02 pi at which fx has a relative maximum pi 12 and 13 pi 97273

          The critical numbers of f(x)=9 cos (2 x)+9 x on the interval of (0,2 pi ) are x=pi /12, x=5 pi /12, x=13 pi /12 and x=17 pi /12. Identify the x values on (0,2 pi ) at which f(x) has a relative maximum. 
    [          pi /12 and 13 pi /12;       13 pi /12 and 17 pi /12; pi /12, 13 pi /12 and 17 pi /12;          pi /12 and 17 pi /12;           pi /12 and 5 pi /12;        5 pi /12 and 13 pi /12;  pi /12, 5 pi /12 and 13 pi /12;        5 pi /12 and 17 pi /12 ]

Added by Paul A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Nick Johnson

07/28/2021

Step 1

Step 1: To find the relative maximum of f(x), we need to examine the critical numbers and the behavior of the function around those points. Show more…

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The critical numbers of f(x)=9 cos (2 x)+9 x on the interval of (0,2 pi ) are x=pi /12, x=5 pi /12, x=13 pi /12 and x=17 pi /12. Identify the x values on (0,2 pi ) at which f(x) has a relative maximum. [ pi /12 and 13 pi /12; 13 pi /12 and 17 pi /12; pi /12, 13 pi /12 and 17 pi /12; pi /12 and 17 pi /12; pi /12 and 5 pi /12; 5 pi /12 and 13 pi /12; pi /12, 5 pi /12 and 13 pi /12; 5 pi /12 and 17 pi /12 ]