Consider the function f(t) = t²e-bt where b is some constant and t≥ 0. a) For what value of b>0 will f(t) have a local extremum at t = 4? b= b) Is this a local maximum or minimum? ? c) Is it a global extremum?? + d) What is lim f(t)? t-x lim f(t) = 14x + e) (Activity) Use all of the information you have obtained about f to sketch a graph of

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the function f(t) = t²e-bt where b is some constant and t ≥ 0.
a) For what value of b> 0 will f(t) have a local extremum at t = 4?
b =
b) Is this a local maximum or minimum? ?
c) Is it a global extremum??
d) What is lim f(t)?
t-00
#
lim f(t) =
e) (Activity) Use all of the information you have obtained about f to sketch a graph of f.
Transcribed Image Text:Consider the function f(t) = t²e-bt where b is some constant and t ≥ 0. a) For what value of b> 0 will f(t) have a local extremum at t = 4? b = b) Is this a local maximum or minimum? ? c) Is it a global extremum?? d) What is lim f(t)? t-00 # lim f(t) = e) (Activity) Use all of the information you have obtained about f to sketch a graph of f.
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