Sr Examen
Otras calculadoras
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- La ecuación:
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Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
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Ecuación x^2-14*x+33=0
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Ecuación 5(x-4)=3x-10
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 16*x-17*y=-15
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Expresiones idénticas
- sqrt(dos *x^ dos +y^ dos -z^ dos + cuatro *y- dos *z-sqrt(catorce)*x- dos)+sqrt(dos *x^ dos - dos *sqrt(catorce)*cos(pi*y)*cos(pi*z)*x+ siete)= cero
- raíz cuadrada de (2 multiplicar por x al cuadrado más y al cuadrado menos z al cuadrado más 4 multiplicar por y menos 2 multiplicar por z menos raíz cuadrada de (14) multiplicar por x menos 2) más raíz cuadrada de (2 multiplicar por x al cuadrado menos 2 multiplicar por raíz cuadrada de (14) multiplicar por coseno de ( número pi multiplicar por y) multiplicar por coseno de ( número pi multiplicar por z) multiplicar por x más 7) es igual a 0
- raíz cuadrada de (dos multiplicar por x en el grado dos más y en el grado dos menos z en el grado dos más cuatro multiplicar por y menos dos multiplicar por z menos raíz cuadrada de ( cotangente de angente de orce) multiplicar por x menos dos) más raíz cuadrada de (dos multiplicar por x en el grado dos menos dos multiplicar por raíz cuadrada de ( cotangente de angente de orce) multiplicar por coseno de ( número pi multiplicar por y) multiplicar por coseno de ( número pi multiplicar por z) multiplicar por x más siete) es igual a cero
- √(2*x^2+y^2-z^2+4*y-2*z-√(14)*x-2)+√(2*x^2-2*√(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x2+y2-z2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt2*x2+y2-z2+4*y-2*z-sqrt14*x-2+sqrt2*x2-2*sqrt14*cospi*y*cospi*z*x+7=0
- sqrt(2*x²+y²-z²+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x²-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x en el grado 2+y en el grado 2-z en el grado 2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x en el grado 2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2x^2+y^2-z^2+4y-2z-sqrt(14)x-2)+sqrt(2x^2-2sqrt(14)cos(piy)cos(piz)x+7)=0
- sqrt(2x2+y2-z2+4y-2z-sqrt(14)x-2)+sqrt(2x2-2sqrt(14)cos(piy)cos(piz)x+7)=0
- sqrt2x2+y2-z2+4y-2z-sqrt14x-2+sqrt2x2-2sqrt14cospiycospizx+7=0
- sqrt2x^2+y^2-z^2+4y-2z-sqrt14x-2+sqrt2x^2-2sqrt14cospiycospizx+7=0
- sqrt(2*x^2+y^2-z^2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=O
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Expresiones semejantes
- sqrt(2*x^2+y^2-z^2-4*y-2*z-sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x^2+y^2-z^2+4*y-2*z+sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x^2+y^2-z^2+4*y-2*z-sqrt(14)*x+2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x^2+y^2-z^2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x^2+2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x^2+y^2-z^2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x-7)=0
- sqrt(2*x^2-y^2-z^2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x^2+y^2-z^2+4*y-2*z-sqrt(14)*x-2)-sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x^2+y^2-z^2+4*y+2*z-sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
- sqrt(2*x^2+y^2+z^2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt^4(17x^2-16)=x
- sqrt(0,5+(sinx)^2)+c0s2x=1
- sqrt4(4x+5-x^2)-sqrt(4x-x^2-3)=1
- sqrt^4(x+15)+sqrt^4(1-x)=2
- sqrt(x-1)*sqrt(x+a^2)*sqrt(x-3)=0
- Raíz cuadrada sqrt
- sqrt^4(17x^2-16)=x
- sqrt(0,5+(sinx)^2)+c0s2x=1
- sqrt4(4x+5-x^2)-sqrt(4x-x^2-3)=1
- sqrt^4(x+15)+sqrt^4(1-x)=2
- sqrt(x-1)*sqrt(x+a^2)*sqrt(x-3)=0
- Raíz cuadrada sqrt
- sqrt^4(17x^2-16)=x
- sqrt(0,5+(sinx)^2)+c0s2x=1
- sqrt4(4x+5-x^2)-sqrt(4x-x^2-3)=1
- sqrt^4(x+15)+sqrt^4(1-x)=2
- sqrt(x-1)*sqrt(x+a^2)*sqrt(x-3)=0
- Raíz cuadrada sqrt
- sqrt^4(17x^2-16)=x
- sqrt(0,5+(sinx)^2)+c0s2x=1
- sqrt4(4x+5-x^2)-sqrt(4x-x^2-3)=1
- sqrt^4(x+15)+sqrt^4(1-x)=2
- sqrt(x-1)*sqrt(x+a^2)*sqrt(x-3)=0
- Coseno cos
- cos(x)^(2)=cos(x)
- cos^2(x-1)=0
- cos(acos(x))=0
- cos(x)^(2)-cos(2*x)=0
- cos(t)=pi/3
- Coseno cos
- cos(x)^(2)=cos(x)
- cos^2(x-1)=0
- cos(acos(x))=0
- cos(x)^(2)-cos(2*x)=0
- cos(t)=pi/3
sqrt(2*x^2+y^2-z^2+4*y-2*z-sqrt(14)*x-2)+sqrt(2*x^2-2*sqrt(14)*cos(pi*y)*cos(pi*z)*x+7)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___________________________________________ ___________________________________________ / 2 2 2 ____ / 2 ____ \/ 2*x + y - z + 4*y - 2*z - \/ 14 *x - 2 + \/ 2*x - 2*\/ 14 *cos(pi*y)*cos(pi*z)*x + 7 = 0
$$\sqrt{\left(2 x^{2} - x 2 \sqrt{14} \cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right) + 7} + \sqrt{\left(- \sqrt{14} x + \left(- 2 z + \left(4 y + \left(- z^{2} + \left(2 x^{2} + y^{2}\right)\right)\right)\right)\right) - 2} = 0$$
Gráfica
Respuesta rápida
[src]
/ ____ / 2 2 2 2 \ ____ \ ____ ____ / 2 2 2 2 \
| \/ 14 *\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))| \/ 14 *(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/
x1 = I*|- ------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ / 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/
$$x_{1} = i \left(\frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} - \frac{\sqrt{14} \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}\right) + \frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} + \frac{\sqrt{14} \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}$$
x1 = i*(sqrt(14)*(2*re(cos(pi*y)*cos(pi*z)) - 1)*(-2*re(y)*im(y) + 2*re(z)*im(z) - 4*im(y) + 2*im(z))/(14*((2*re(cos(pi*y)*cos(pi*z)) - 1)^2 + 4*im(cos(pi*y)*cos(pi*z))^2)) - sqrt(14)*(-re(y)^2 - 4*re(y) + re(z)^2 + 2*re(z) + im(y)^2 - im(z)^2 + 9)*im(cos(pi*y)*cos(pi*z))/(7*((2*re(cos(pi*y)*cos(pi*z)) - 1)^2 + 4*im(cos(pi*y)*cos(pi*z))^2))) + sqrt(14)*(2*re(cos(pi*y)*cos(pi*z)) - 1)*(-re(y)^2 - 4*re(y) + re(z)^2 + 2*re(z) + im(y)^2 - im(z)^2 + 9)/(14*((2*re(cos(pi*y)*cos(pi*z)) - 1)^2 + 4*im(cos(pi*y)*cos(pi*z))^2)) + sqrt(14)*(-2*re(y)*im(y) + 2*re(z)*im(z) - 4*im(y) + 2*im(z))*im(cos(pi*y)*cos(pi*z))/(7*((2*re(cos(pi*y)*cos(pi*z)) - 1)^2 + 4*im(cos(pi*y)*cos(pi*z))^2))
Suma y producto de raíces
[src]
suma
/ ____ / 2 2 2 2 \ ____ \ ____ ____ / 2 2 2 2 \ | \/ 14 *\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))| \/ 14 *(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/ I*|- ------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------- | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ \ 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ / 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/
$$i \left(\frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} - \frac{\sqrt{14} \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}\right) + \frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} + \frac{\sqrt{14} \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}$$
=
/ ____ / 2 2 2 2 \ ____ \ ____ ____ / 2 2 2 2 \ | \/ 14 *\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))| \/ 14 *(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/ I*|- ------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------- | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ \ 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ / 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/
$$i \left(\frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} - \frac{\sqrt{14} \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}\right) + \frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} + \frac{\sqrt{14} \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}$$
producto
/ ____ / 2 2 2 2 \ ____ \ ____ ____ / 2 2 2 2 \ | \/ 14 *\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))| \/ 14 *(-4*im(y) + 2*im(z) - 2*im(y)*re(y) + 2*im(z)*re(z))*im(cos(pi*y)*cos(pi*z)) \/ 14 *(-1 + 2*re(cos(pi*y)*cos(pi*z)))*\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/ I*|- ------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------- | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ \ 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ / 7*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/ 14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/
$$i \left(\frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} - \frac{\sqrt{14} \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}\right) + \frac{\sqrt{14} \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)} + \frac{\sqrt{14} \left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 2 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 4 \operatorname{im}{\left(y\right)} + 2 \operatorname{im}{\left(z\right)}\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}}{7 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}$$
=
____ / / 2 2 2 2 \ / / 2 2 2 2 \ \ \
\/ 14 *\(-1 + 2*re(cos(pi*y)*cos(pi*z)))*\9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/ - 2*I*\(-1 + 2*re(cos(pi*y)*cos(pi*z)))*(-im(z) + 2*im(y) + im(y)*re(y) - im(z)*re(z)) + \9 + im (y) + re (z) - im (z) - re (y) - 4*re(y) + 2*re(z)/*im(cos(pi*y)*cos(pi*z))/ + 4*(-2*im(y) + im(z)*re(z) - im(y)*re(y) + im(z))*im(cos(pi*y)*cos(pi*z))/
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/ 2 2 \
14*\(-1 + 2*re(cos(pi*y)*cos(pi*z))) + 4*im (cos(pi*y)*cos(pi*z))/
$$\frac{\sqrt{14} \left(- 2 i \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(\operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 2 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)}\right) + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right) + \left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right) \left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 4 \operatorname{re}{\left(y\right)} + \left(\operatorname{re}{\left(z\right)}\right)^{2} + 2 \operatorname{re}{\left(z\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(z\right)}\right)^{2} + 9\right) + 4 \left(- \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 2 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)}\right) \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)}{14 \left(\left(2 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} - 1\right)^{2} + 4 \left(\operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2}\right)}$$
sqrt(14)*((-1 + 2*re(cos(pi*y)*cos(pi*z)))*(9 + im(y)^2 + re(z)^2 - im(z)^2 - re(y)^2 - 4*re(y) + 2*re(z)) - 2*i*((-1 + 2*re(cos(pi*y)*cos(pi*z)))*(-im(z) + 2*im(y) + im(y)*re(y) - im(z)*re(z)) + (9 + im(y)^2 + re(z)^2 - im(z)^2 - re(y)^2 - 4*re(y) + 2*re(z))*im(cos(pi*y)*cos(pi*z))) + 4*(-2*im(y) + im(z)*re(z) - im(y)*re(y) + im(z))*im(cos(pi*y)*cos(pi*z)))/(14*((-1 + 2*re(cos(pi*y)*cos(pi*z)))^2 + 4*im(cos(pi*y)*cos(pi*z))^2))