Consider a college student who works from 7 P.M. to 11 P.M. assembling mechanical components. The number N of components assembled after t H he student assembling components at the greatest rate? 192 N = Osts4

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
Consider a college student who works from 7 P.M. to 11 P.M. assembling mechanical components. The number N of components assembled after t hours is given by the function below. At what time is
the student assembling components at the greatest rate?
19t2
N =
0 <t< 4
1.
4 +
Transcribed Image Text:Consider a college student who works from 7 P.M. to 11 P.M. assembling mechanical components. The number N of components assembled after t hours is given by the function below. At what time is the student assembling components at the greatest rate? 19t2 N = 0 <t< 4 1. 4 +
STEP 4:
Find the third derivative of N.
N'"'(t)
STEP 5:
Substitute the value for t from Step (3) into the equation for the third derivative of N. (Round your answer to two decimal places.)
N"" =
STEP 6:
State the sign of N"'(t).
N''(t) ? v0
STEP 7:
Select the most appropriate response.
or at approximatel v ---Select---
8:31 P.M.
The student is assembling components at the greatest rate when t =
8:09 P.M.
7:45 P.M.
Need Help?
Read It
Watch It
8:18 P.M.
8:02 P.M.
Transcribed Image Text:STEP 4: Find the third derivative of N. N'"'(t) STEP 5: Substitute the value for t from Step (3) into the equation for the third derivative of N. (Round your answer to two decimal places.) N"" = STEP 6: State the sign of N"'(t). N''(t) ? v0 STEP 7: Select the most appropriate response. or at approximatel v ---Select--- 8:31 P.M. The student is assembling components at the greatest rate when t = 8:09 P.M. 7:45 P.M. Need Help? Read It Watch It 8:18 P.M. 8:02 P.M.
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