(c) Now find the exact values of a and b that satisfy the conditions in part (a).

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 curve of the form y(t) = at +
+4₁
t
(a) Given only (3, 12) tells us that
Oy(12) = 3
O y(3) = 0
O y(3) = = 12
Oy(12) = 0
Given that (3, 12) is also a local minimum tells us that
Oy '(3) = 0
Oy (12) = 0
O y '(3) = 12
Oy (12) = 3
(b) Find y '(t)
a
(c) Now find the exact values of a and b that satisfy the conditions in part (a).
||
with a local minimum at (3, 12).
=
b =
Transcribed Image Text:Consider a curve of the form y(t) = at + +4₁ t (a) Given only (3, 12) tells us that Oy(12) = 3 O y(3) = 0 O y(3) = = 12 Oy(12) = 0 Given that (3, 12) is also a local minimum tells us that Oy '(3) = 0 Oy (12) = 0 O y '(3) = 12 Oy (12) = 3 (b) Find y '(t) a (c) Now find the exact values of a and b that satisfy the conditions in part (a). || with a local minimum at (3, 12). = b =
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