Multivariate Calculus

11 and 12

Gudidur bug lis! ! * part3 - Google Doci # C activecalculusorg/mukt/5-10-6-Directional-Derivative. html W. ! Apps @ Youtube Mo Gul : Portal Ch Dashboard MTH 146 3MTH 243 d WTH 280 520 0ugh = Contents Index Derivatives Linearization: Tangent Planes and Differentials The Chain Rule represent the elevation on a land mass at Directional Derivatives and location (r, y). Suppose that E, z, and y are all measured in meters. the Gradient Optimization a. Find E,(r, y) and E,(x, y). Constrained Optimization: b. Let u be a unit vector in the direction of (-4, 3). Determine D,, E(3, 4). Lagrange Multipliers What is the practical meaning of D., E(3, 4) and what are its units? 11 Multiple Integrals c. Find the direction of greatest increase in E at the point (3, 4). Double Riemann Sums and Double Integrals over d. Find the instantaneous rate of change of _ in the direction of greatest Rectangles decrease at the point (3, 4). Include units on your answer. Iterated Integrals e. At the point (3 4), find a direction win which the instantaneous rate of Double Integrals over change of E is Q. General Regions 12. Find all directions in which the directional derivative of /(x, y) = ye ry is 1 Authored in PreText at the point (0, 2). POWERED BY MathJax 13. Find, if possible, a function / such that Type here to search O N 12:17 PM