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Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1 -0.3- --0.2 --0- 0.3 -0.3 -0.3 1-0.2 1 401 0 - 0.2 / /0/3 0.1 0.2 0-2 -1 O0-2 0:3 L03 Give reasons for your answer. O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = 0 on the line y = -x + 1/10, and y' = -1 on the line y = -x. The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = 0 on the lines x = 0 and y = 10. O y' = sin(10x) sin(10y) = 0 on the lines x = o and y = 0, and y' > o for o

Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1 -0.3- --0.2 --0- 0.3 -0.3 -0.3 1-0.2 1 401 0 - 0.2 / /0/3 0.1 0.2 0-2 -1 O0-2 0:3 L03 Give reasons for your answer. O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = 0 on the line y = -x + 1/10, and y' = -1 on the line y = -x. The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = 0 on the lines x = 0 and y = 10. O y' = sin(10x) sin(10y) = 0 on the lines x = o and y = 0, and y' > o for o

Calculus: Early Transcendentals
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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Match the differential equation with its direction field. y' = sin(10x) sin(10y) \ 20} \ 20 0,1. 10+ 10- -0.3- --0.2 - -01- 0. - 0.2 -0.3 - 0.31 1-0.2 \ +0x1 0.1- 0.2 / /03 -0.1 //// /// /5 ///// /////. //// ////// -2 -1 1 1 =0,3- Give reasons for your answer. O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = 0 on the line y = -x + 1/10, and y' = -1 on the line y = -x. O The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = o on the lines x = 0 and y = 10. O y' = sin(10x) sin(10y) = 0 on the lines x = 0 and y = 0, and y' > o for o < x < T/10, 0 < y < T/10.
Transcribed Image Text:Match the differential equation with its direction field. y' = sin(10x) sin(10y) \ 20} \ 20 0,1. 10+ 10- -0.3- --0.2 - -01- 0. - 0.2 -0.3 - 0.31 1-0.2 \ +0x1 0.1- 0.2 / /03 -0.1 //// /// /5 ///// /////. //// ////// -2 -1 1 1 =0,3- Give reasons for your answer. O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = 0 on the line y = -x + 1/10, and y' = -1 on the line y = -x. O The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0. O y' = sin(10x) sin(10y) = o on the lines x = 0 and y = 10. O y' = sin(10x) sin(10y) = 0 on the lines x = 0 and y = 0, and y' > o for o < x < T/10, 0 < y < T/10.
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