MAT-1120 Final: MATH 1120 App State Spring2014 Final Exam answer key
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First, the sketches of solutions should generally follow the slope elds. Really, the curves should be tangent to any arrow they touch, but since this is a sketch i"ll be very forgiving here. Here are a few tips: (1) notice that equation d does not involve x (this is an autonomous di erential equation). This means that whatever the slop eld looks like along the y-axis, it should look exactly the same along any other vertical line (there is no x dependence). Only the last slope eld matches this description. (2) notice that equation b is y = x2 + y2 but x2 + y2 0. This means its slope eld only involves non-negative slopes they can"t be going down. Only the second slope eld ts this. (3) for similar reasons, equation c only has non-positive slopes everything must be going down.
