Let F = Vf and f = 3x²y – 2z. Calculate ſF - dr for the path r1 = (1, 1, 0),0 < t < 1. (Give your answer as a whole or exact number.) F- dr %3D Calculate fF - dr for the path r2 = (1,1²,0),0 < t < 1. (Give your answer as a whole or exact number.) F· dr2 = Calculate f(Q) – f(P). The point Q is the end point of the both paths r¡ and r2, Q = r¡(1) = r2(1). The point P is the starting point of the both paths r¡ and r2, P = r¡(0) = r2(0). (Give your answer as a whole or exact number.) f(Q) – f(P) =
Let F = Vf and f = 3x²y – 2z. Calculate ſF - dr for the path r1 = (1, 1, 0),0 < t < 1. (Give your answer as a whole or exact number.) F- dr %3D Calculate fF - dr for the path r2 = (1,1²,0),0 < t < 1. (Give your answer as a whole or exact number.) F· dr2 = Calculate f(Q) – f(P). The point Q is the end point of the both paths r¡ and r2, Q = r¡(1) = r2(1). The point P is the starting point of the both paths r¡ and r2, P = r¡(0) = r2(0). (Give your answer as a whole or exact number.) f(Q) – f(P) =
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Transcribed Image Text:Let F = Vf and f = 3x²y – 2z.
Calculate , F . dr for the path r, =
(1, 1,0),0 < t < 1.
(Give your answer as a whole or exact number.)
F · dr¡ =
Calculate feF · dr for the path r2 = (t, 1²,0),0 < 1 < 1.
(Give your answer as a whole or exact number.)
F- dr2
Calculate f(Q) – f(P). The point Q is the end point of the both paths r¡ and r2, Q = r¡(1) = r2(1). The point P is the
starting point of the both paths r¡ and r2, P = r¡(0) = r2(0).
(Give your answer as a whole or exact number.)
f(Q) – f(P) =
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