(d) Find an equation for each of the graphs: For graph (1), x(t) = For graph (2), x(t) = = For graph (3), x(t) = = For graph (4), x(t) = =

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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Each graph below represents a solution to one of the following differential equations. Match the graph to the differential equation.
(a) x" + x = 0 matches graph 4 ▾
(b) x" 4x = 0 matches graph 3
(c) x"
16x = 0 matches graph 2 ▾
(1)
(3)
2
-2
АА
-2
-1
(4)
4
(d) Find an equation for each of the graphs:
For graph (1), x(t)
For graph (2), x(t)
-
For graph (3), x(t) =
For graph (4), x(t) =
(The t-scales on the four graphs are the same.)
Transcribed Image Text:Each graph below represents a solution to one of the following differential equations. Match the graph to the differential equation. (a) x" + x = 0 matches graph 4 ▾ (b) x" 4x = 0 matches graph 3 (c) x" 16x = 0 matches graph 2 ▾ (1) (3) 2 -2 АА -2 -1 (4) 4 (d) Find an equation for each of the graphs: For graph (1), x(t) For graph (2), x(t) - For graph (3), x(t) = For graph (4), x(t) = (The t-scales on the four graphs are the same.)
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