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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? 19t2 N = 4 + 2" Osts4 STEP 1: Begin by finding the first derivative of N.

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 = 4 + 2" Osts4 STEP 1: Begin by finding the first derivative of N.

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? 19t2 N = 0 st< 4 1. 4 + STEP 1: Begin by finding the first derivative of N. 152t (4+ 7)² 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"' =
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 st< 4 1. 4 + STEP 1: Begin by finding the first derivative of N. 152t (4+ 7)² 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"' =
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Given,             Consider a college student who works from 7 P.M to 11 P.M. assembling             mechnical components. The number N of components assembled after t hours             is given by the function below :             N=19t24+t2 ; 0≤t≤4Step 1 : N't=152t4+t22 ; 0≤t≤4

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