Barrons AP Calculus

(Marvins-Underground-K-12) #1

AB 3.


Part B

(a) The slope   field   for the twelve  points  indicated   is:

The slopes  are given   in  the table   below.  Be  sure    that    the segments
you draw are correct relative to the other slopes in the slope field
with respect to the steepness of the segments.

(b) At  (1, 1),  ,  so  the tangent line    is  y   =   1   +   2(x −   1). Using   this
linear equation, f(1.2) 1 + 2(1.2 − 1) = 1.4.
(c) The differential equation is separable.
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