设f(x,y)=x^3+y^3+x^2y,则f(tx,ty)等于什么?A:t^2f(x,y)B:t^3f(x,y)C:1/t^2f(x,y)D:tf(x,y)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 08:47:43

设f(x,y)=x^3+y^3+x^2y,则f(tx,ty)等于什么?A:t^2f(x,y)B:t^3f(x,y)C:1/t^2f(x,y)D:tf(x,y)
设f(x,y)=x^3+y^3+x^2y,则f(tx,ty)等于什么?
A:t^2f(x,y)B:t^3f(x,y)C:1/t^2f(x,y)D:tf(x,y)

设f(x,y)=x^3+y^3+x^2y,则f(tx,ty)等于什么?A:t^2f(x,y)B:t^3f(x,y)C:1/t^2f(x,y)D:tf(x,y)
答:
f(x,y)=x^3+y^3+x^2y
f(tx,ty)
=(tx)^3+(ty)^3+(tx)^2(ty)
=(t^3)*f(x,y)
选择B

设f(x)=3x(x次方,下同)求证:f(x)*f(y)=f(x+y) 设f(x+y,x-y)=x^2-y^2,则f(x,y)= 设f(x)=e的y次方,证明:(1),f(x)f(y)=f(x+y) ,(2),f (x)/f(y)=f(x-y) 设f(x+y,xy)=x^2+y^2,则f(x,y) 设f(x)=3^x,求证: (1)f(x)*f(y)=f(x+y); (2)f(x)÷f(y)=f(x-y). 设f(x+y,x-y)=x^2+y^2-x*y求f(x,y) 设随机变量(X,Y)联合概率密度为f(x,y)=3x,0 设f(x)是定义在(0,+∞)上的单调增函数,且对任意x,y属于(0,+∞)有f(xy)=f(x)+f(y).求证f(x/y)=f(x)+f(y)(1)、求证f(x/y)=f(x)+f(y)(2)、若f(3)=1,解不等式f(x)>f(x-1)+2 高等数学中的对x求导设F(x,y)={x^3-y^3/x^2+y^2,(x,y)不等于(0,0) ;f(x,y)=0,(x,y)=(0,0)}.则f’x(0,0)=多少? 设f(x+y,x-y)=x^2+xy,求f(x,y) 设f(x)=3x(x次方,下同)求证:f(x)*f(y)=f(x+y).补充是步骤.问题出在第三部:f(x+y) = 3^(x+y).为什么?f(x) = 3^x,f(y) = 3^y,f(x+y) = 3^(x+y).f(x)*f(y) = 3^x*3^y = 3^(x+y) = f(x+y) 设f(x+y,xy)=x^2+y^2-xy,则(∂f(x,y))/∂y= 设f(x,y)=e^(x^2+y^2) 则 f(x,kx)=? 求f(x,y)=,max{|(x-y)/(x+2y+3)|,(x+2)/(x+2y+3),(5y+4)/(x+2y+3)}的最小值用max{a,b,c}表示a,b,c三个数中的最大值,设f(x,y)=,max{|(x-y)/(x+2y+3)|,(x+2)/(x+2y+3),(5y+4)/(x+2y+3)}(x,y∈R 设对任意数x,y均有f(x+y)=2f(y)+x^2+2xy-y^2+3x+3y,求f(x). 设对任意数x,y均有f(x+y)=2f(y)+x^2+2xy-y^2+3x+3y,求f(x)的解析式. 设对任意的实数x,y均有f(x+y)=2f(y)+x的平方+2xy-y的平方+3x-3y 求f(x)如题 高数题 设f(x+y,x-y)=x^2-xy,则f(x,y)=多少