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- La ecuación:
-
Ecuación 5x+15=x-1
-
Ecuación 3x^2=0
- Ecuación x^2-49=0
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Ecuación 1-x/2=x/3
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -19*x+14*y=20
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Expresiones idénticas
- y=(uno / dos)sin^(tres)x+C
- y es igual a (1 dividir por 2) seno de en el grado (3)x más C
- y es igual a (uno dividir por dos) seno de en el grado (tres)x más C
- y=(1/2)sin(3)x+C
- y=1/2sin3x+C
- y=1/2sin^3x+C
- y=(1 dividir por 2)sin^(3)x+C
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Expresiones semejantes
- y=(1/2)sin^(3)x-C
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Expresiones con funciones
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
y=(1/2)sin^(3)x+C la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3
sin (x + c)
y = -----------
2
$$y = \frac{\sin^{3}{\left(c + x \right)}}{2}$$
Gráfica
Respuesta rápida
[src]
/ 3 3 2 2 \ 3 3 2 2
| cos (re(c) + re(x))*sinh (im(c) + im(x)) 3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))| cosh (im(c) + im(x))*sin (re(c) + re(x)) 3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x))
y1 = I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - ---------------------------------------------------------------------------------
\ 2 2 / 2 2
$$y_{1} = i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}$$
y1 = i*(3*sin(re(c) + re(x))^2*cos(re(c) + re(x))*sinh(im(c) + im(x))*cosh(im(c) + im(x))^2/2 - cos(re(c) + re(x))^3*sinh(im(c) + im(x))^3/2) + sin(re(c) + re(x))^3*cosh(im(c) + im(x))^3/2 - 3*sin(re(c) + re(x))*cos(re(c) + re(x))^2*sinh(im(c) + im(x))^2*cosh(im(c) + im(x))/2
Suma y producto de raíces
[src]
suma
/ 3 3 2 2 \ 3 3 2 2 | cos (re(c) + re(x))*sinh (im(c) + im(x)) 3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))| cosh (im(c) + im(x))*sin (re(c) + re(x)) 3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x)) I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - --------------------------------------------------------------------------------- \ 2 2 / 2 2
$$i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}$$
=
/ 3 3 2 2 \ 3 3 2 2 | cos (re(c) + re(x))*sinh (im(c) + im(x)) 3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))| cosh (im(c) + im(x))*sin (re(c) + re(x)) 3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x)) I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - --------------------------------------------------------------------------------- \ 2 2 / 2 2
$$i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}$$
producto
/ 3 3 2 2 \ 3 3 2 2 | cos (re(c) + re(x))*sinh (im(c) + im(x)) 3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))| cosh (im(c) + im(x))*sin (re(c) + re(x)) 3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x)) I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - --------------------------------------------------------------------------------- \ 2 2 / 2 2
$$i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}$$
=
3
(cosh(im(c) + im(x))*sin(re(c) + re(x)) + I*cos(re(c) + re(x))*sinh(im(c) + im(x)))
------------------------------------------------------------------------------------
2
$$\frac{\left(\sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} + i \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}\right)^{3}}{2}$$
(cosh(im(c) + im(x))*sin(re(c) + re(x)) + i*cos(re(c) + re(x))*sinh(im(c) + im(x)))^3/2