Determine the critical numbers of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. f (t) = 2+ 11 t - VII, VIī; - VII, VII relative 22 VII relative maximum minimum; V11, 22 t-- VTI, VīT: -VI, - relative VII 22

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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Question 3
Determine the critical numbers of the given
function and classify each critical point as a
relative maximum, a relative minimum, or
neither.
f (t)
t2 + 11
%3D
- VII, VIī; - VI1,
VII
relative
t =
22
II,
VII
minimum;
relative maximum
22
- VII, VII; -VII,
11
relative
22
t = -
maximum; V11,
relative minimum
22
- VII, VII; -VII,-
VII
and
22
t = - 1
VII,
22
VI
neither
VII
neither
22
t = V11;V11,
Transcribed Image Text:Question 3 Determine the critical numbers of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. f (t) t2 + 11 %3D - VII, VIī; - VI1, VII relative t = 22 II, VII minimum; relative maximum 22 - VII, VII; -VII, 11 relative 22 t = - maximum; V11, relative minimum 22 - VII, VII; -VII,- VII and 22 t = - 1 VII, 22 VI neither VII neither 22 t = V11;V11,
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