(d) What can you say about the graph of y = 4(x) for x>x*? (e) Verify that y = x – 1 is a solution to dy/dx = x - y and explain why the graph of $(x) always stays above the line y = x – 1.
(d) What can you say about the graph of y = 4(x) for x>x*? (e) Verify that y = x – 1 is a solution to dy/dx = x - y and explain why the graph of $(x) always stays above the line y = x – 1.
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
(d) and (e)
![9. Let ø (x) denote the solution to the initial value problem
dy
= x- y,
dx
y(0) = 1.
(a) Show that d"(x) = 1– 4'(x) = 1- x+ ¢(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff57c5c9b-acb3-4a3d-a39b-55eeff7ee4ad%2F0ed49d4e-fb75-44a4-a0d7-ef02fddd1e44%2Fkf2c4g_processed.png&w=3840&q=75)
Transcribed Image Text:9. Let ø (x) denote the solution to the initial value problem
dy
= x- y,
dx
y(0) = 1.
(a) Show that d"(x) = 1– 4'(x) = 1- x+ ¢(x).
![(d) What can you say about the graph of y = ¢(x) for
x>x*?
(e) Verify that y = x – 1 is a solution to dy/dx = x - y
and explain why the graph of $(x) always stays
above the line y = x – 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff57c5c9b-acb3-4a3d-a39b-55eeff7ee4ad%2F0ed49d4e-fb75-44a4-a0d7-ef02fddd1e44%2F2w4bgf_processed.png&w=3840&q=75)
Transcribed Image Text:(d) What can you say about the graph of y = ¢(x) for
x>x*?
(e) Verify that y = x – 1 is a solution to dy/dx = x - y
and explain why the graph of $(x) always stays
above the line y = x – 1.
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