Notes for 11.1, 11.2 - Examples: #6 #10 #16 #24 #46 #70 #76...

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Calculus III – Section 11.1 – Vector-Valued Functions A function of the form r ( t ) = f(t) i + g(t) j + h(t) k is a vector-valued function where the component functions f, g, and h are real-valued functions of the parameter t . The domain is the intersection of the domains of the component functions. Limits are taken component-wise. A vector-valued function is continuous at a point if the components are continuous at that point.
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Unformatted text preview: Examples: #6 #10 #16 #24 #46 #70 #76 Calculus III Section 11.2 Differentiation and Integration of Vector-Valued Functions Differentiation and integration of vector-valued functions are done component-wise. Most of the differentiation rules we have for single variable functions translate to vector-valued functions. Examples: #2 #10 #20 #28 #56...
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Notes for 11.1, 11.2 - Examples: #6 #10 #16 #24 #46 #70 #76...

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