Question: 3. Consider the following direction field for a differential equation: 20 - 1.5 10 0.0 0.0 0.5 10 1.5 20 4. For the initial value

 3. Consider the following direction field for a differential equation: 20

3. Consider the following direction field for a differential equation: 20 - 1.5 10 0.0 0.0 0.5 10 1.5 20 4. For the initial value problem f(0) = 0.5, draw a approximation of a solution curve in the following manner. Your approximate solution curve should consist of many short line segments, and each segment should be parallel to some nearby line segment from the direction field. 5. Given your approximate solution curve, what is your estimate for f(2)? 6. Do you think this is an overestimate or an underestimate for the true value of f(2)? Why? 7. This direction field is from the differential equation y = 1 - r. Solve the above initial value problem and calculate the exact value of f (2)

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