Sint=-1/2
t=(-1)^n*arcsin(-1/2)+pi*n, n<u /><em />∈Z
t=(-1)^n+1*(pi/6)+pi*n, n∈Z.
a)сначала находим производную
<span>f(штрих)=(<span>4x-3x^2)штрих=4-6х</span></span>
<span><span>4-6х<span><0; 4<span><6х; 2/3<span><х ОТвет (2/3;+бесконечности)</span></span></span></span></span>
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<span><span><span><span><span>б)сначала опять находим производную</span></span></span></span></span>
<span><span><span><span><span><span>f(штрих)=(<span>x^2-5x)штрих=2х-5</span></span></span></span></span></span></span>
<span><span><span><span><span><span><span>2х-5<span><0; 2х<span><5; х<span><2,5 Ответ:(-бесконечности;2,5)</span></span></span></span></span></span></span></span></span></span>
Сумма кубов:
(2x+3y)^3+(3x-2y)^3=(2x+3y+3x-2y)((2x+3y)^2-(2x+3y)(3x-2y)+(3x-2y)^2)=(5x+y)(4x^2+12xy+9y^2-6x^2-9xy+4xy+6y^2+9x^2-12xy+4y^2)=(5x+y)(7x^2+19y^2-5xy)
4sin²x+2sinxcosx-2cos²x=0/2cos²x
2tg²x+tgx-1=0
tgx=a
2a²+a-1=0
D=1+8=9
a1=(-1-3)/4=-1⇒tgx=-1⇒x=-π/4+πn,n∈z
a2=(-1+3)/4=1/2⇒tgx=1/2⇒x=arctg0,5+πk,k∈z
4x^2+y^2=29
y=-7+2x
4x^2+(-7+2x)^2=29
4x^2+4x^2-28x+49=29
x=5/2
x=1
y=-7+2
y=-7+2*5/2
y=-2
y=-5