Third Week, Functions of t and Multi-functions
Third Week, Functions of t and Multi-functions MATH 2232 Multi Variable Calculus
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MATH 2232 Multi Variable Calculus
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This 1 page Class Notes was uploaded by Andrew Swann on Sunday February 8, 2015. The Class Notes belongs to MATH 2232 Multi Variable Calculus at George Washington University taught by Ullman in Spring2015. Since its upload, it has received 59 views.
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Date Created: 02/08/15
Vector Valued functions Usually represented by rt instead of fx 0 Where rt might ltXtytztgt 0 But the function is the arrow from the origin to the point 0 De nition of r39t lim as h gt0 of rth rth Just like any other 0 Where r39t velocity and r39t speed 0 Paramaterization of a curve 0 Arc Length traversed by a particle described by rt alttltb is the integral from a to b of the speed dt 0 Tt r39 r39 the unit tangent vector at time t 0 Kt Tt r39 curvature Functions with multiple variables F IRAn gt IR 0 FXy XXyA2 0 EX fXy 2 height above sea level at the point X y in Colorado 0 Level curves would be like landscape With the same elevation