Calculus I, Math 170 Final Exam Solutions Spring 2009 Directions ...
Calculus I, Math 170 Final Exam Solutions Spring 2009 Directions ...
Calculus I, Math 170 Final Exam Solutions Spring 2009 Directions ...
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(11) The figure given below is a slope field of the differential equation dy<br />
8<br />
x<br />
= . The point<br />
dx y<br />
R = (1, 0).<br />
(a) (2 points) On the figure, sketch an approximate solution to the differential equation<br />
6<br />
that passes through the point R.<br />
-8 -6 -4 -2 2 4 6<br />
Show Point Q<br />
4<br />
2<br />
-2<br />
-4<br />
-6<br />
xR = 0.50 SlopeAtR = ∞<br />
Direction<br />
(b) (8 points) Find the solution -8<br />
Move R -> Q<br />
yR = 0.00 y = f(x) to the differential equation that passes through<br />
h = 0.20<br />
R, i.e., dy<br />
dx<br />
= x<br />
y<br />
, y(2) = −1.<br />
Hide Segment<br />
-10<br />
-12<br />
-14<br />
R<br />
Show Grid Controls<br />
Show Initial Pt
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