求y=x的三次方与y=2x围成的面积-搜答案-智慧作业帮

/>x与y互为相反数x=-y即x+y=0x^3y+2x^2*y^2+xy^3=xy(x^2+2xy+y^2)=xy(x+y)^2因为x+y=0,xy=-1/4所以x^3y+2x^2*y^2+xy^3=

^表示次方x=√3+√2y=√3-√2x^3y+y^3x=xy(x^2+y^2)=(√3+√2)(√3-√2)(3+2+2√6+3+2-2√6)=1*(5+5)=10手机提问的朋友在客户端右上角评价点

A-B=x³+2y³-xy²-(-y³+x³+2xy²)=x³+2y³-xy²+y³-x³

y'=6x²+6x=0x=-1,x=0x0,y'>0,递增-1

x^3y-2x^2y^2+xy^3=x^3y+2x^2y^2+xy^3-4x^2y^2=xy(x^2+2xy+y^2)-4x^2y^2=xy(x+y)^2-4x^2y^2=12×7×7-4×12×12

（x+y）三次方×（2x+2y）三次方×（3x+3y）三次方=(x+y)³×8(x+y)³×27(x+y)³=216((x+y)的9次方

xy的三次方-2x²y²+x的三次方y=xy(y²-2xy+x²)=xy(x-y)²

x-y=2两边同时平方又x^2+y^2=12所以xy=4原式=xy(x^2-2xy+y^2)=xy(x-y)^2=16

x³y-2x²y+xy=xy(x²-2x+1)=xy(x-y)²=1/2×2²=2

∵x-y=-2,xy=-1/4∴-2x²y²+xy³+x³y=xy(x²-2xy+y²)=xy(x-y)²=-1/4*(-2)&#

(2x^4)y³－x³y^4=(x³y³)(2x－y)=(xy)³(2x－y)=4³×(1/16)=4

原式=xy(x²-2xy+y²)这一步就很清楚的明白是公式的运用了：a²-2ab+b²=(a-b)²所以=xy(x-y)²将x-y=-1,x

非奇非偶函数定义域x∈【0,+∞）不关于原点对称所以不具备奇偶性

y-2x=-20102x-y=20102x^4y³-x³y^4=x³y³(2x-y)=(xy)³(2x-y)=10³×2010=201000

j解y=x³y‘=(x³)’=3x²再问：怎么从（x³)’化为3x²

y=(x-2)^3-x^3y'=3(x-2)^2-3x^2=12(1-x),y'(1)=0,驻点x=1y''=-12y(1)=-2是唯一的极值,是极大值,故也是最大值.

/(X-3)^2+Y+3/=0则X=3Y=-3(-X)^3+(-Y)^3-(Y/X)^2010=(-3)^3+3^3-1=-1

y=2x-x^3y'=-3x^2+2y'=0x=√6/3,y=2√6/9x=-√6/3y=-5√6/9

x^3+y^3=271)x^2-xy+y^2=92)两式相除,得：x+y=3,平方得：x^2+2xy+y^2=93)2)*2+3)得：3(x^2+y^2)=27得：x^2+y^2=9