# 12.1 and 12.2 - of a Vector-Valued Function Theorem 12.1...

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Section 11.1 Vector Valued Functions

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Definition of Vector-Valued Function
How are vector valued functions traced out?

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In practice it is often easier to rewrite the function. Sketch the curve represented by the vector- valued function and give the orientation of the curve. #26 r (t)= #34 r (t)= ( 29 ( 29 j t t i t - + + 2 2 1 k t tj ti 2 sin 4 cos 3 + + k t tj ti 2 sin 4 cos 3 + +
Definition of the Limit of a Vector-Valued Function

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Definition of Continuity of a Vector-Valued Function
Section 11.2 Differentiation and Integration of Vector- Valued Functions.

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Definition of the Derivative

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Unformatted text preview: of a Vector-Valued Function Theorem 12.1 Differentiation of Vector-Valued Functions Theorem 12.2 Properties of the Derivative Definition of Integration of Vector-Valued Functions Smooth Functions • A vector valued function, r , is smooth on an open interval I if the derivatives of the components are continuous on I and r’ 0 for any value of t in the interval I. #30 Find the open interval(s) on which the curve is smooth. ≠ ( 29 ( 29 j i r θ cos 1 sin ) (-+ + =...
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12.1 and 12.2 - of a Vector-Valued Function Theorem 12.1...

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