<span>m(t) = m0·2</span><span>^(−t/T)</span>
<span>m0=200 <span>мг
</span></span><span>T=3 мин
</span>m(t) = <span>25 <span>мг
__________
t - ?
Подставляем в формулу </span></span><span>m(t) = m0·2<span>^(−t/T) </span>значения </span>m0, Т и m(t) :
<span>25 = 200·2</span><span><span>^(</span><span>− t/3)
</span></span>25 = 200/2<span>^(t/3)</span>
2<span>^(<span>t/3) = 200/25
</span></span>2<span>^(t/3) = 8</span>
2<span>^(<span>t/3) = 2³
</span></span><span>t/3 = 3
</span><span>t = 9
Ответ: 9 минут
</span>
-8х²+20=0
8х²-20=0
2х²-5=0
2х²+0х-5=0
Д=0*0+4*5*2=40
√Д=√(40)=√(4*10)=2√(10)=2√(4*2.5)=4√(2.5)
х1=(0+4√(2.5))/4=√(2.5)
x2=-√(2.5)
Ответ: x1=√(2.5); x2=-√(2.5)
Cos(2П-2x)+3sin(П-x)=2
cos2x + 3sinx = 2
1 - 2sin²x + 3sinx - 2 = 0
2sin²x - 3sinx + 1 = 0
sinx = t
2t² - 3t + 1 = 0
D = 9 - 4*2*1 = 1
t₁ = (3 - 1)/4
t₁ = 1/2
t₂ = (3 + 1)/4
t₂ = 1
1) sinx = 1/2
x = (-1)^n *arcsin(1/2) + πk, k∈Z
x₁ = (-1)^n* (π/6) + πk, k∈Z
2) sinx = 1
x₂ = π/2 + πn, n∈Z
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