Section 13.3 (Homework)Ali Al ZaabiMA 242, section 001, Spring 2012Instructor: J. Louis CappsCurrent Score : 20 / 20 Due : Thursday, April 19 2012 11:02 PM EDT1. 3/3 points | Previous AnswersA table of values of a function f with continuous gradient is given. Find Cf·dr, where C has parametric equations x = t2+ 1, y = t3+ t, 0 t 1.6 6x\y 0 1 20 3 8 61 5 7 92 10 4 112. 2.25/2.25 points | Previous AnswersDetermine 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)jf(x,y) = + K3. 2.25/2.25 points | Previous AnswersDetermine 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) = eyi + xeyjf(x,y) = + K4. 2.25/2.25 points | Previous AnswersDetermine 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) = (1 + 2xy + lnx)i + x2jf(x,y) = + KWebAssignThe due date for this assignment is past. Your work can be viewed below, but no changes can be made. yes, F is a conservative vector fieldno, F is not a conservative vector fieldyes, F is a conservative vector fieldno, F is not a conservative vector fieldyes, F is a conservative vector fieldno, F is not a conservative vector field5. 2.25/2.25 points | Previous AnswersDetermine 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) = (yexy+ 4x3y)i + (xexy+ x4)jf(x,y) = + K6. 4/4 points | Previous AnswersYou are given the following.F(x,y) = e2yi + (1 + 2xe2y)jC: r(t) = teti + (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 CF·dr along the curve C. 149 1497. 4/4 points | Previous AnswersYou are given the following.F(x,y,z) = (2xz + y2)i + 2xy j + (x2+ 3z2)kC: x = t2, y = t + 1, z = 2t - 1, 0 t 1 (a) Find a function f such that F = f (taking K = 0).f(x,y,z) = (b) Use part (a) to evaluate CF·dr along the curve C, where C is defined by x = t2, y = t + 1, z = 2t - 1, 0 t 1. 7 7yes, F is a conservative vector fieldno, F is not a conservative vector
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