BC 3.
BC 4.
(b)(c)Part B
See solution for AB/BC 3, Review for Chapter 3.(a) Using the differential equation, evaluate the derivative at each
point, then sketch a short segment having that slope. For example, at
; draw a segment at (−1, −1) that
decreases steeply. Repeat this process at each of the other points.
The result is shown below.Move to (0.5 + 0.5, −1 + 1) = (1, 0), then f(1) ≈ 0.
The differential equation is separable:It is given that f passes through (0,−1), so −1 = tan(0^2 + c) and
.
The solution is .