015-funcion-dos-variables

z=f(x,y)

Todas

a

c

b

d

3D

Recta

f(x,y)

x

y

Punto

Región

z=f(x,y)

d3 = 0
d2 = 1
d1 = 0
c3 = 0
c2 = 0
c1 = 1
S: (((c3 * d2) - (d3 * c2)) / ((c1 * d2) - (c2 * d1)), ((c1 * d3) - (d1 * c3)) / ((c1 * d2) - (c2 * d1)))
b3 = 8
a3 = 5
b2 = 2
b1 = 1
Q: (((c3 * b2) - (b3 * c2)) / ((c1 * b2) - (c2 * b1)), ((c1 * b3) - (b1 * c3)) / ((c1 * b2) - (c2 * b1)))
a2 = 1
a1 = 2
R: (((a3 * d2) - (d3 * a2)) / ((a1 * d2) - (a2 * d1)), ((a1 * d3) - (d1 * a3)) / ((a1 * d2) - (a2 * d1)))
P: (((a3 * b2) - (b3 * a2)) / ((a1 * b2) - (a2 * b1)), ((a1 * b3) - (b1 * a3)) / ((a1 * b2) - (a2 * b1)))
polígono1, q, s, r, p = Polygon(Q, S, R, P)
polígono3: polígono1
A = PointIn(polígono3)
cc = -1 (slider from -5 to 5, step 0.05)
c(x, y) = (cc * ((c1 * x) + (c2 * y))) ≤ (cc * c3)
dd = -1
d(x, y) = (dd * ((d1 * x) + (d2 * y))) ≤ (dd * d3)
aa = 1
bb = 1
a(x, y) = (aa * ((a1 * x) + (a2 * y))) ≤ (aa * a3)
b(x, y) = (bb * ((b1 * x) + (b2 * y))) ≤ (bb * b3)
k = -1 (slider from -1 to 10, step 0.05)
fx = -0.1
fy = -0.5
fc = 3
f(x, y) = (fx * x) + (fy * y) + fc
e: (fx * x) + (fy * y) + fc = k
l = false
g = false
i = false
h = false
j = false
PP: (x(P), y(P), f(x(P), y(P)))
QQ: (x(Q), y(Q), f(x(Q), y(Q)))
RR: (x(R), y(R), f(x(R), y(R)))
SS: (x(S), y(S), f(x(S), y(S)))
m = Segment(RR, R)
n = Segment(P, PP)
t = Segment(Q, QQ)
a_1 = Segment(S, SS)
polígono2, qq, pp, rr, ss = Polygon(QQ, PP, RR, SS)
o = CurveCartesian(t, (k - (fy * t) - fc) / fx, k, t, -10, 10)
v_{1} = false
w = false
x_2: y(A)
x_1: x(A)
FA: (x_1, x_2, f(x_1, x_2))
T = PointIn(polígono3)
XA: (x_1, 0, 0)
c_1 = Segment(XA, A)
YA: (0, x_2, 0)
b_1 = Segment(A, YA)
d_1 = Segment(A, FA)
fxy: f(x_1, x_2)
texto1: "f(x,y)=" + (LaTeX[f]) + " \\ f(" + (LaTeX[x_1]) + "," + (LaTeX[x_2]) + ")=" + (LaTeX[fxy]) + ""
B = (-2, -1, 0)
BB: (x(B), y(B), f(x(B), y(B)))
f_1(x, y) = (fx * x) + (fy * y) + fc
g_1: z = 0
h_1 = Segment(BB, B)
Bx: (x(B), 0, 0)
By: (0, y(B), 0)
i_1 = Segment(Bx, B)
j_1 = Segment(B, By)
u = false
v = false
C: (0, 0, 3)