The slope field for y ′ = y / x at the 16 gridpoints x , y , where x = − 2 , − 1 , 1 , 2 and y = − 2 , − 1 , 1 , 2 is shown in the accompanying figure. Use this slope field and geometric reasoning to find the integral curve that passes through the point (1, 2).
The slope field for y ′ = y / x at the 16 gridpoints x , y , where x = − 2 , − 1 , 1 , 2 and y = − 2 , − 1 , 1 , 2 is shown in the accompanying figure. Use this slope field and geometric reasoning to find the integral curve that passes through the point (1, 2).
The slope field for
y
′
=
y
/
x
at the 16 gridpoints
x
,
y
,
where
x
=
−
2
,
−
1
,
1
,
2
and
y
=
−
2
,
−
1
,
1
,
2
is shown in the accompanying figure. Use this slope field and geometric reasoning to find the integral curve that passes through the point (1, 2).
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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