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- La ecuación:
-
Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación x^2+10*x+16=0
-
Ecuación x^2+4*x-32=0
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
- Gráfico de la función y =:
- exp(sinx)
- Integral de d{x}:
- 0,5
- Derivada de:
-
0,5
- Suma de la serie:
-
0,5
-
Expresiones idénticas
- exp(sinx)= cero , cinco
- exponente de ( seno de x) es igual a 0,5
- exponente de ( seno de x) es igual a cero , cinco
- expsinx=0,5
- exp(sinx)=O,5
-
Expresiones semejantes
- 4*exp*(sin(x)+cos(x))
-
Expresiones con funciones
- Exponente exp
- exp(0,007094*x)=3,053*10^(14)
- exp(x/2)-(2/(5*x))=0
- exp(-y)=Const-log(x)
- exp(x)-×^2=0
- exp((x^2-13*x-42*j)*ln(x^2-7*x-11*j))=1
- sinx
- sinx+cosx=1/sqrt(2)
- sinx-cosx=2
- sinx=12/4
- sinx=0,8634
- sinx*cosx=√2/4
exp(sinx)=0,5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$e^{\sin{\left(x \right)}} = \frac{1}{2}$$
cambiamos
$$e^{\sin{\left(x \right)}} - \frac{1}{2} = 0$$
$$e^{\sin{\left(x \right)}} - \frac{1}{2} = 0$$
Sustituimos
$$w = e^{\sin{\left(x \right)}}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = \frac{1}{2}$$
Obtenemos la respuesta: w = 1/2
hacemos cambio inverso
$$e^{\sin{\left(x \right)}} = w$$
sustituimos w:
$$e^{\sin{\left(x \right)}} = \frac{1}{2}$$
cambiamos
$$e^{\sin{\left(x \right)}} - \frac{1}{2} = 0$$
$$e^{\sin{\left(x \right)}} - \frac{1}{2} = 0$$
Sustituimos
$$w = e^{\sin{\left(x \right)}}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = \frac{1}{2}$$
Obtenemos la respuesta: w = 1/2
hacemos cambio inverso
$$e^{\sin{\left(x \right)}} = w$$
sustituimos w:
Respuesta rápida
[src]
x1 = pi + asin(log(2))
$$x_{1} = \operatorname{asin}{\left(\log{\left(2 \right)} \right)} + \pi$$
x2 = -asin(log(2))
$$x_{2} = - \operatorname{asin}{\left(\log{\left(2 \right)} \right)}$$
x2 = -asin(log(2))
Suma y producto de raíces
[src]
suma
pi + asin(log(2)) - asin(log(2))
$$- \operatorname{asin}{\left(\log{\left(2 \right)} \right)} + \left(\operatorname{asin}{\left(\log{\left(2 \right)} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + asin(log(2)))*(-asin(log(2)))
$$\left(\operatorname{asin}{\left(\log{\left(2 \right)} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\log{\left(2 \right)} \right)}\right)$$
=
-(pi + asin(log(2)))*asin(log(2))
$$- \left(\operatorname{asin}{\left(\log{\left(2 \right)} \right)} + \pi\right) \operatorname{asin}{\left(\log{\left(2 \right)} \right)}$$
-(pi + asin(log(2)))*asin(log(2))
Respuesta numérica
[src]
x1 = 24.3668950338993
x2 = 85.5888478417435
x3 = -76.1640698809741
x4 = 60.4561066130251
x5 = 11.8005244195401
x6 = 18.0837097267197
x7 = -27.5084876874891
x8 = 43.216450955438
x9 = 35.3233653843068
x10 = -46.3580436090278
x11 = -21.2253023803095
x12 = -96.6235260664645
x13 = -8.6589317659503
x14 = 3.90743884840887
x15 = -82.4472551881537
x16 = -14.9421170731299
x17 = 12157.1977231977
x18 = 55.7828215697972
x19 = -19.6154021163578
x20 = -40.0748583018482
x21 = -90.3403407592849
x22 = -51.0313286522558
x23 = -57.3145139594354
x24 = -95.0136258025129
x25 = -44.7481433450762
x26 = 54.1729213058456
x27 = 739.04011978842
x28 = 45546.04444555
x29 = -84.0571554521053
x30 = 30.6500803410789
x31 = 49.4996362626176
x32 = -25.8985874235374
x33 = 79.3056625345639
x34 = 36.9332656482584
x35 = -88.7304404953333
x36 = -58.924414223387
x37 = 74.632377491336
x38 = 87.1987481056951
x39 = -52.6412289162074
x40 = 99.7651187200543
x41 = -2.37574645877071
x42 = -32.181772730717
x43 = -33.7916729946686
x44 = -69.8808845737945
x45 = -0.76584619481908
x46 = 104.438403763282
x47 = 80.9155627985155
x48 = -7.04903150199867
x49 = 66.7392919202047
x50 = 47.889735998666
x51 = 68.3491921841564
x52 = 41.6065506914864
x53 = -71.4907848377462
x54 = -13.3322168091783
x55 = 73.0224772273843
x56 = 62.0660068769768
x57 = -63.5976992666149
x58 = 16.473809462768
x59 = 10.1906241555885
x60 = 98.1552184561027
x61 = 93.4819334128747
x62 = 91.8720331489231
x63 = -101.296811109692
x64 = -65.2075995305666
x65 = 29.0401800771272
x66 = 204.969368678156
x67 = 22.7569947699476
x68 = 5.51733911236051
x69 = -77.7739701449258
x70 = -38.4649580378966
x70 = -38.4649580378966