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Evaluate ydx - x dy along the curve C shown in the figure. (a) (0.3) (3,0)...
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3) 5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
(4,9,-5) Evaluate the integral | ydx+x dy +7 dz by finding parametric equations for the line segment from (3,2,2) to (4,9. – 5) and evaluating the line integral of F=yi + xj + 7k along the segment. Since F is conservative, the integral is independent of the path. (3.2.2) (4.9.-5) | ydx + x dy+7 dz=0 (3.2.2)
X 16.2.23 Evaluate si xy dx + (x + y)dy along the curve y= 2x² from (-3,18) to (2,8). C { xy dx xy dx + (x + y)dy = С (Type an integer or a simplified fraction.) ts
Evaluate xy dx + (x + y)dy along the curve y = 3x? from (-2,12) to (1,3). с xy dx + (x + y)dy = 0 xy dx + с (Type an integer or a simplified fraction.)
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem. 2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem.
Evaluate xy dx + (x+y)dy along the curve y=2x? from ( - 3,18) to (-2,8). с | xy dx +(x+y)dy = [ С (Type an integer or a simplified fraction.)
Evaluate a) $*$*$**** siny dy dz dx E:{(x,y,z):0 5x5 3,0 sysx, x-yszsx+y}
36. Evaluate Llet (e® + y2)d«r + (3.r – sin(y?))dy 1 along the curve C=C + C2 + Cz shown at right. -2 0 20 3
5. Evaluate SS x+2y da where R is the triangle with vertices (0,3), (4,1), and (2,6). Use the transformation x=-(u- *=£cu-v),= (3u+v+12). 6. Evaluate S 2 ydx+(1 – x)dy along the curve C given by y=1 –x" from x = -1 to x = 2.
Which one is the solution to this equation e-Ydx - (2y + xe dy = 0 denkleminin çözümü aşağıdakilerden hangisidir? xy - Inx = 0 A) x + y = Cx2 B) y ln x + x2 = 0 xe y - y² =c OD) x2 + (tan y)2 = 0 Ο Ε)