Sketching Solution Curves on a Slope Field
All of the following statements are true regarding drawing solution curves on a slope field except:
A
When sketching solution curves on a slope field, one should cross over regions of fundamentally different slopes to create a smooth curve.
B
Slope fields provide a visual guide to the behavior of differential equation solutions.
C
Solution curves must be tangent to the short line segments that indicate the slopes at given points.
D
A hand-drawn solution curve should follow the direction suggested by the slope segments without abrupt changes.
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