z == x - 2*y - 1 z == x - 2*y - 1 Sleeping...
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z == 4*x + 2*y - 3 z == 4*x + 2*y - 3 Sleeping...
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L(x, y) = -x + 1/2*y + 3/2 L(x, y) = -x + 1/2*y + 3/2 |
L(x, y) = x + y f(1.1, -0.1) = 0.985417548826181 L(1.1, -0.1) = 1.00000000000000 L(x, y) = x + y f(1.1, -0.1) = 0.985417548826181 L(1.1, -0.1) = 1.00000000000000 |
6 6 |
(x, y) |--> 2*x + 3*y (x, y) |--> 3*x - 2*y (x, y) |--> 2*x + 3*y (x, y) |--> 3*x - 2*y |
0.650000000000000 0.644900000000002 0.650000000000000 0.644900000000002 |
(r, h) |--> 2/3*pi*h*r (r, h) |--> 1/3*pi*r^2 (r, h) |--> 2/3*pi*h*r (r, h) |--> 1/3*pi*r^2 |
2500/3*pi 2500/3*pi |
20.0000000000000*pi 20.0000000000000*pi |
6 6 |
s^2*cos(s^2*t)*e^(s*t^2) + 2*s*t*e^(s*t^2)*sin(s^2*t) 2*s*t*cos(s^2*t)*e^(s*t^2) + t^2*e^(s*t^2)*sin(s^2*t) s^2*cos(s^2*t)*e^(s*t^2) + 2*s*t*e^(s*t^2)*sin(s^2*t) 2*s*t*cos(s^2*t)*e^(s*t^2) + t^2*e^(s*t^2)*sin(s^2*t) |
192 192 |
2*s*D[0](g)(s^2 - t^2, -s^2 + t^2) - 2*s*D[1](g)(s^2 - t^2, -s^2 + t^2) -2*t*D[0](g)(s^2 - t^2, -s^2 + t^2) + 2*t*D[1](g)(s^2 - t^2, -s^2 + t^2) -2*(t*D[0](g)(s^2 - t^2, -s^2 + t^2) - t*D[1](g)(s^2 - t^2, -s^2 + t^2))*s + 2*(s*D[0](g)(s^2 - t^2, -s^2 + t^2) - s*D[1](g)(s^2 - t^2, -s^2 + t^2))*t 0 2*s*D[0](g)(s^2 - t^2, -s^2 + t^2) - 2*s*D[1](g)(s^2 - t^2, -s^2 + t^2) -2*t*D[0](g)(s^2 - t^2, -s^2 + t^2) + 2*t*D[1](g)(s^2 - t^2, -s^2 + t^2) -2*(t*D[0](g)(s^2 - t^2, -s^2 + t^2) - t*D[1](g)(s^2 - t^2, -s^2 + t^2))*s + 2*(s*D[0](g)(s^2 - t^2, -s^2 + t^2) - s*D[1](g)(s^2 - t^2, -s^2 + t^2))*t 0 |
2*r*D[0](f)(r^2 + s^2, 2*r*s) + 2*s*D[1](f)(r^2 + s^2, 2*r*s) 4*r^2*D[0, 0](f)(r^2 + s^2, 2*r*s) + 8*r*s*D[0, 1](f)(r^2 + s^2, 2*r*s) + 4*s^2*D[1, 1](f)(r^2 + s^2, 2*r*s) + 2*D[0](f)(r^2 + s^2, 2*r*s) 2*r*D[0](f)(r^2 + s^2, 2*r*s) + 2*s*D[1](f)(r^2 + s^2, 2*r*s) 4*r^2*D[0, 0](f)(r^2 + s^2, 2*r*s) + 8*r*s*D[0, 1](f)(r^2 + s^2, 2*r*s) + 4*s^2*D[1, 1](f)(r^2 + s^2, 2*r*s) + 2*D[0](f)(r^2 + s^2, 2*r*s) |
-(x^2 - 2*y)/(y^2 - 2*x) -(x^2 - 2*y)/(y^2 - 2*x) |
-(x^2 + 2*y*z)/(2*x*y + z^2) -(y^2 + 2*x*z)/(2*x*y + z^2) -(x^2 + 2*y*z)/(2*x*y + z^2) -(y^2 + 2*x*z)/(2*x*y + z^2) |
3/2*sqrt(3)*(x^2 - y) - 3/2*x + 4*y 3/2*sqrt(3)*(x^2 - y) - 3/2*x + 4*y |
32/29*sqrt(29) 32/29*sqrt(29) |
-1/2*sqrt(6) -1/2*sqrt(6) |
-x + 2*y - 2/3*z - 6 == 0 (-1, 2, -2/3) -x + 2*y - 2/3*z - 6 == 0 (-1, 2, -2/3) |
5/12*sqrt(3)*pi + 1/3*sqrt(3) 5/12*sqrt(3)*pi + 1/3*sqrt(3) |
3*x + 2*y + 3*z - 10 == 0 (3, 2, 3) 3*x + 2*y + 3*z - 10 == 0 (3, 2, 3) |
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