Chapter 15, Section 15.8, Question 001 Verify the formula contour integral Subscript Upper C Baseline Upper F times Upper T ⢠ds equals double integral Subscript Ï Baseline left-parenthesis curl Upper F right-parenthesis times n ⢠dS in Stokes' Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. Upper F left-parenthesis x comma y comma z right-parenthesis equals left-parenthesis 3 ⢠x minus UpperWord ⢠y right-parenthesis i plus left-parenthesis 3 ⢠y minus UpperWord ⢠z right-parenthesis j plus left-parenthesis 3 ⢠z minus UpperWord ⢠x right-parenthesis k where sigma is the portion of the plane x plus y plus z equals 5 in the first octant. Enter the exact answer as an improper fraction, if necessary.
Chapter 15, Section 15.8, Question 001 Verify the formula F-Tds= (curl F) , nds in Stokes' Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. where Ï is the portion or the plane x + γ + 2-5 in the first octant. Enter the exact answer as an improper fraction, if necessary. Click here to enter or edit your answer
