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Pani-rosa [81]
3 years ago
6

Does anyone else agree that the answer for this family of curves question is E, dy/dx = x + y?

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0
Yes this is the correct answer. The slope field shown is the differential equation dy/dx = x+y

All points along the line x+y = k, for some constant k, will have the same tangent slope k. For example, the line x+y = 0 will have every point with tangent slope 0 for the solution y(x). It may not be 100% clear, but this graph has horizontal tickmarks on the line x+y = 0, or the tickmarks are close to being horizontal. Using geogebra, I checked the others and they produced completely different graphs, which allowed me to rule them out.
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