Example 2-3-9 - Maple Help
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Chapter 2: Space Curves

Section 2.3: Tangent Vectors

Example 2.3.9

Given the two plane curves fx=x2,gx=8x42,x0,


At x=1, obtain the equation of the line tangent to y=fx.


Find the coordinates of the intersection of y=gx and the tangent line found in Part (a).


Construct a vector from 1,f1 to the point found in Part (b).


Obtain R1, the natural tangent vector at 1,f1.


Show that the vectors in Parts (c) and (d) are parallel.
(Hint:  Show their components are proportional.)


Draw both curves, the tangent line (Part (a)), and the tangent vector (Part (d)).

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