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Home > APCALC > Chapter 10 > Lesson 10.1.4 > Problem 10-49

10-49.

Match the differential equation with its slope field. Explain your selection.

  1. Coordinate plane, 10 rows of 10 short segments, each row with same slope at given y values, as follows, @ negative 2.5, slope of 5, @ negative 0.75, slope of 5, @ 0.75, slope of 4, @ 2.5, slope of 3, @ 3.75, slope of 3 halves, @ 5.5, slope of 1 half, @ 6.75, slope of negative 1 half, @ 8.5, slope of negative 1, @ 9.75, slope of negative 2, @ 11.5, slope of negative 4. Your teacher can provide you with a model.

  1. Coordinate plane, 10 columns of 10 short segments, each column with same slope at given x values, as follows, @ negative 1.5, slope of negative 4, @ negative 0.75, slope of negative 2, @ 0, slope of 0, @ 0.75, slope of 2, @ 1.5, slope of 3, @ 2.25, slope of 4, @ 3.1, slope of 5, @ 4, slope of 5, @ 4.75, slope of 3, @ 5.5, slope of 1.

  1. Coordinate plane, 11 rows of 10 short segments, each row with same approximate slope at given approximate y values, as follows, @ negative 1.25, slope of negative 7, @ negative 0.5, slope of negative 6, @ 0.5, slope of 6, @ 1.25, slope of 7, @ 3.75, slope of 8, @ 5.25, slope of 8, @ 6, slope of 0, @ 6.5, slope of negative 3 halves, @ 8.25, slope of negative 8, @ 9.5, slope of negative 10, @ 10.25, slope of negative 10. Your teacher can provide you with a model.

The slope will be when and when .

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