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13 Nov 2019
#3
a. Show that F is a conservative field by finding a function f such that â½f = F. b. Evaluate Jc F.dr where C is a curve that goes from (0,1,1) to (1.2,3). Evaluate Jcxsin(y)dx + 1 cos(x) dywhere C is the path along y=x?from (0,0) to (1,1). Evaluate Ssin(3)dx + (3x + ey')dy where C is the curve along the rectangle 0 Evaluate 1s orientation. 3) 4) 5) ) 1, 0 y 2 oriented counterclockwise. ds, where s is the surface z = 4-2-y2,72 0,with upward Evaluate Is curl F . dS, where F = , and S is the upper half of the ellipsoi x2 + y2 + 622 = 1,2 2 0, oriented outward. Evaluate 5x+ye,y tx3 cos(xz), 4z - ysinx) > ds, where S is the surface cube with sides Ï = 0, x = 1, y = 0, y = 1, z = 0, z = 1.
#3
a. Show that F is a conservative field by finding a function f such that â½f = F. b. Evaluate Jc F.dr where C is a curve that goes from (0,1,1) to (1.2,3). Evaluate Jcxsin(y)dx + 1 cos(x) dywhere C is the path along y=x?from (0,0) to (1,1). Evaluate Ssin(3)dx + (3x + ey')dy where C is the curve along the rectangle 0 Evaluate 1s orientation. 3) 4) 5) ) 1, 0 y 2 oriented counterclockwise. ds, where s is the surface z = 4-2-y2,72 0,with upward Evaluate Is curl F . dS, where F = , and S is the upper half of the ellipsoi x2 + y2 + 622 = 1,2 2 0, oriented outward. Evaluate 5x+ye,y tx3 cos(xz), 4z - ysinx) > ds, where S is the surface cube with sides Ï = 0, x = 1, y = 0, y = 1, z = 0, z = 1.
Trinidad TremblayLv2
13 Apr 2019