Advanced Math Archive: Questions from May 27, 2023
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Encuentra el ángulo θ entre los vectores. (Redondea tu respuesta
a dos cifras decimales.)
A. u = (4,0), v = (5,-3), <u,v> = u1v1 + 2u2v2
B. u = (1,1,1), v = (6,-7,8) , <u,v> = u1v1 + 2u2
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Sea I=∫∫D(x2−y2)dxdy, donde
D={(x,y):3≤xy≤6,0≤x−y≤7,x≥0,y≥0}
Muestre que la aplicación u=xy, v=x−y asigna D al rectángulo
R=[3,6]×[0,7].
(a) Calcule ∂(x,y)/∂(u,v) calculan
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Supongamos que el gradiente f(x,y,z)=2xyze^(x^2)i+ze^(x^2)j+ye^(x^2)k Si F(0,0,0)=1, encuentre f(1,1,7). Sugerencia: como primer paso, defina una ruta de (0,0,0) a (1, 1, 7) y calcule una integral de
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Evaluar la integral triple SSS T x 2 dv,
donde T es el tetraedro sólido con vértices (0,0,0), (1,0,0),
(0,1,0) y (0,0,1)
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