1) 8<span>¹⁶ / 16¹² = 2⁴⁸ / 2⁴⁸ = 1 </span>
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<span>2) (15<span>а²</span><span>- 10ab)/(<span><span>3ab-2b²) = 5а(3а - 2<span><span>b</span></span>)/(<span><span>b</span></span>·<span><span><span><span>(3а - 2<span><span>b</span></span>)</span></span></span></span>) = 5а/<span><span><span><span><span><span>b</span></span></span></span></span></span></span></span></span></span>
При а= -2,b= -0,1
<span><span><span><span>5а/<span><span><span><span><span><span>b</span></span></span></span></span></span></span></span></span></span> = 5·(-2)/(-0,1) = -10/(-0,1) = 100
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(c*d):(с+d)//////////////////////////
Функция у=sin x ограниченная, |sin x|≤1
Поэтому
-1≤sin 3 x≤1,
умножаем все три части неравенства на 1/2
--1/2 ≤ 1/2·sin 3x ≤ 1/2,
вычитаем из всех частей неравенства (-4)
-1/2 - 4 ≤ 1/2 · sin 3x - 4 ≤1/2 - 4
или
-4,5≤ 1/2 ·sin 3x - 4 ≤ -3,5
Ответ E(y)=[-4,5: -3,5]
Sin(23+7)=sin30=1/2
Формула: sin(A+B)=sinA*cosB+sinB*cosA