Ali Al Zaabi MA 242 section 001 Spring 2012 Instructor J Louis Capps WebAssign Section 13 3 Homework Current Score 20 20 Due Thursday April 19 2012 11 02 PM EDT The due date for this assignment is past Your work can be viewed below but no changes can be made 1 3 3 points Previous Answers A table of values of a function f with continuous gradient is given Find t 0 6 t C 2 f dr where C has parametric equations x t 1 y t 1 6 x y 0 1 2 0 3 8 6 1 5 7 9 2 10 4 11 2 2 25 2 25 points Previous Answers Determine whether or not F is a conservative vector field If it is find a function f such that F f If not enter 0 F x y x3 4xy i 5x 4y j yes F is a conservative vector field no F is not a conservative vector field K f x y 3 2 25 2 25 points Previous Answers Determine whether or not F is a conservative vector field If it is find a function f such that F y f If not enter 0 y F x y e i xe j yes F is a conservative vector field no F is not a conservative vector field f x y K 4 2 25 2 25 points Previous Answers Determine whether or not F is a conservative vector field If it is find a function f such that F 2 F x y 1 2xy lnx i x j yes F is a conservative vector field no F is not a conservative vector field f x y K f If not enter 0 3 5 2 25 2 25 points Previous Answers Determine whether or not F is a conservative vector field If it is find a function f such that F F x y ye xy 3 xy 4x y i xe f If not enter 0 4 x j yes F is a conservative vector field no F is not a conservative vector field f x y K 6 4 4 points Previous Answers You are given the following F x y e 2y 2y i 1 2xe j C r t tet i 1 t j 0 t 1 a Find a function f such that F f taking K 0 f x y b Use part a to evaluate 149 C F dr along the curve C 149 7 4 4 points Previous Answers You are given the following 2 2 2 F x y z 2xz y i 2xy j x 3z k C x t2 y t 1 z 2t 1 0 t a Find a function f such that F f taking K 0 1 f x y z b Use part a to evaluate 7 7 C 2 F dr along the curve C where C is defined by x t y t 1 z 2t 1 0 t 1
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