Lahendage ja leidke t (complex solution)
t=-i\ln(i\sqrt{25y-250\sqrt{y}+624}-5i\sqrt{y}+25i)+2\pi n_{1}\text{, }n_{1}\in \mathrm{Z}
t=-i\ln(-i\sqrt{25y-250\sqrt{y}+624}-5i\sqrt{y}+25i)+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}
Lahendage ja leidke y (complex solution)
\left\{\begin{matrix}y=\frac{\left(-\sin(t)+25\right)^{2}}{25}\text{, }&arg(\frac{-\sin(t)+25}{5})<\pi \\y=0\text{, }&\exists n_{2}\in \mathrm{Z}\text{ : }t=2\pi n_{2}-i\ln(4\sqrt{39}i+25i)\text{ or }\exists n_{1}\in \mathrm{Z}\text{ : }t=2\pi n_{1}-i\ln(-4\sqrt{39}i+25i)\end{matrix}\right,
Lahendage ja leidke y
y=\frac{\left(-\sin(t)+25\right)^{2}}{25}
\frac{-\sin(t)+25}{5}\geq 0
Graafik
Jagama
Lõikelauale kopeeritud
Näited
Ruutvõrrand
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonomeetria
4 \sin \theta \cos \theta = 2 \sin \theta
Lineaarne võrrand
y = 3x + 4
Aritmeetika
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Samaaegne võrrand
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferentseerimine
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integratsioon
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Piirid
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}