5. Чему равно значение выражения ?
( (12² -14²)/4 +3)² = ( (12 -14)(12+14)/4+3)² = ( -2 *26/4 +3)² = (-13+3)² =(-10)² =100. → D)100
* * * ( (12² -14²)/4 +3)² =(144 -196)/4+3)² = (-52/4+3)² =(-13+3)² =(-10)<span>² =100 * * *
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6.
(b</span>⁻¹⁵*b¹⁸)/b⁻² =b³/b⁻² =b³*b² =b⁵. → A) b<span>⁵</span>
O=10cm, o=2(a+b), 2(a+b)=10, a+b=5 cm
S=6cm², S=a.b, a.b=6cm²
a+b=5
a.b=6
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a=2cm, b=3cm ili a=3cm,b=2cm
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(a=5-b, (5-b).b=6,5b-b²=6,b²-5b+6=0, (b-2)(b-3))
1) y=x²+2√x³+x
![y'(x)=2x+ \frac{3*2 \sqrt{x} }{2} +1=2x+3 \sqrt{x} +1](https://tex.z-dn.net/?f=y%27%28x%29%3D2x%2B+%5Cfrac%7B3%2A2+%5Csqrt%7Bx%7D+%7D%7B2%7D+%2B1%3D2x%2B3+%5Csqrt%7Bx%7D+%2B1)
2) y=Sin²x-2Sinx*Cosx+Cos²x=1-Sin2x
y'(x)=-2Cos2x
(2x + 1)² - 64 = 0
(2x + 1 - 8)(2x + 1+ 8) = 0
2x - 7 = 0
<span>2x = 7 </span>
x₁ = 3,5
2x + 9 = 0
2x = - 9
<span>x₂ = - 4,5</span>