Homework Help is Here – Start Your Trial Now!
Math
Calculus
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 th what time is the student assembling components at the greatest rate? 13t? N = 0 sts 4 4 + t2' STEP 1: Begin by finding the first derivative of N. 104t N'(t) = (4 + P)? STEP 2: Find the second derivative of N. 104(4 – 32) (?+4)3 N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. 2 STEP 4: Find the third derivative of N. 624(? – 4) (P+4)4 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"" = 4.02 STEP 6: State the sign of N'(t). N'(t)

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 th what time is the student assembling components at the greatest rate? 13t? N = 0 sts 4 4 + t2' STEP 1: Begin by finding the first derivative of N. 104t N'(t) = (4 + P)? STEP 2: Find the second derivative of N. 104(4 – 32) (?+4)3 N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. 2 STEP 4: Find the third derivative of N. 624(? – 4) (P+4)4 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"" = 4.02 STEP 6: State the sign of N'(t). N'(t)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
See similar textbooks
icon
Related questions
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 th what time is the student assembling components at the greatest rate? 13t2 N = 4 + t2' 0sts4 STEP 1: Begin by finding the first derivative of N. 104t N'(t) = (4 + ?)? STEP 2: Find the second derivative of N. 104(4 – 3?) (P + 4)3 N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. 2 t = V3 STEP 4: Find the third derivative of N. 6241(? – 4) (?+ 4)4 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'" = 4.02 STEP 6: State the sign of N''(t). N'"'(t) <v STEP 7: Select the most appropriate response. The student is assembling components at the greatest rate when t = V3 or at approximately 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 th what time is the student assembling components at the greatest rate? 13t2 N = 4 + t2' 0sts4 STEP 1: Begin by finding the first derivative of N. 104t N'(t) = (4 + ?)? STEP 2: Find the second derivative of N. 104(4 – 3?) (P + 4)3 N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. 2 t = V3 STEP 4: Find the third derivative of N. 6241(? – 4) (?+ 4)4 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'" = 4.02 STEP 6: State the sign of N''(t). N'"'(t) <v STEP 7: Select the most appropriate response. The student is assembling components at the greatest rate when t = V3 or at approximately 8:09 P.M.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS