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9.1 Vector Functions 1)Def of vector function 2)Curve in xy-plane and xyz-plane 3)Graph r(t) 4)Curve of Intersection 5)Limit 6)Continuity 7)Derivatives.

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Presentation on theme: "9.1 Vector Functions 1)Def of vector function 2)Curve in xy-plane and xyz-plane 3)Graph r(t) 4)Curve of Intersection 5)Limit 6)Continuity 7)Derivatives."— Presentation transcript:

1 9.1 Vector Functions 1)Def of vector function 2)Curve in xy-plane and xyz-plane 3)Graph r(t) 4)Curve of Intersection 5)Limit 6)Continuity 7)Derivatives 8)Smooth curve 9)Geometic representation of r’(t) 10)Tangent 11)Chain Rule 12)Integral of r(t) 13)Length of curve

2 Example1 Circular Helix Graph the curve traced by the vector function

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4 ezplot3('2*cos(t)','2*sin(t)','t',[0,9*pi/2])

5 Example2 Circle in a plane Graph the curve traced by the vector function

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7 Example3 Curve of Intersection Find the vector function that describes the curve C of the intersection of the plane.and the paraboloid

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11 Derivative of Vector Function

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