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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? 202 0sts 4 N = 4 + 2' STEP 1: Begin by finding the first derivative of N. N'(t) = STEP 2: Find the second derivative of N. N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. t = 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) ? 0 STEP 7: Select the most appropriate response. The student is assembling components at the greatest rate when t = or at approximatel v ---Select--- 7:45 P.M. 8:18 P.M. 8:02 P.M. Need Help? Read It Watch It 8:31 P.M. 8:09 P.M.

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? 202 0sts 4 N = 4 + 2' STEP 1: Begin by finding the first derivative of N. N'(t) = STEP 2: Find the second derivative of N. N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. t = 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) ? 0 STEP 7: Select the most appropriate response. The student is assembling components at the greatest rate when t = or at approximatel v ---Select--- 7:45 P.M. 8:18 P.M. 8:02 P.M. Need Help? Read It Watch It 8:31 P.M. 8:09 P.M.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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? 2012 N = Osts4 4 + t2" STEP 1: Begin by finding the first derivative of N. N'(t) = STEP 2: Find the second derivative of N. N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. t = 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) ? 0 STEP 7: Select the most appropriate response. The student is assembling components at the greatest rate when t = or at approximatel v ---Select--- 7:45 P.M. 8:18 P.M. 8:02 P.M. Need Help? Read It Watch It 8:31 P.M. 8:09 P.M.
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? 2012 N = Osts4 4 + t2" STEP 1: Begin by finding the first derivative of N. N'(t) = STEP 2: Find the second derivative of N. N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. t = 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) ? 0 STEP 7: Select the most appropriate response. The student is assembling components at the greatest rate when t = or at approximatel v ---Select--- 7:45 P.M. 8:18 P.M. 8:02 P.M. Need Help? Read It Watch It 8:31 P.M. 8:09 P.M.
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