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Mathematics
Mathematics
Problem
A solution of
d
y
d
x
=
y
−
x
2
\dfrac{dy}{dx}=y-x^2
d
x
d
y
=
y
−
x
2
passes through the point
(
1
,
2
)
(1,2)
(
1
,
2
)
. Using one backward tangent-line step to
x
=
0.5
x=0.5
x
=
0.5
(so
h
=
−
0.5
h=-0.5
h
=
−
0.5
), which value best approximates
y
(
0.5
)
y(0.5)
y
(
0.5
)
? a)
1.45
1.45
1.45
b)
2.5
2.5
2.5
c)
1.5
1.5
1.5
d)
1.13
1.13
1.13
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