《经济数学基础形成性考核册》全部答案万分火急,急需
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一、填空题:
1、0;2、1;3、x-2y+1=0;
4、2x;5、- ;二、单项选择题:
1、D;2、B;3、B;4、B;5、B;三、解答题1、计算极限
(1)原式=
= =(2)原式=
= =-(3)原式=
= =-(4)原式=
=(5)∵x 时,
∴ = =(6) = = (x+2)
=42、设函数:
f(x)= (sin +b)=b
f(x)=(1)要使f(x)在x=0处有极限,只要b=1,
(2)要使f(x)在x=0处连续,则
f(x)= =f(0)=a
即a=b=1时,f(x)在x=0处连续
3、计算函数的导数或微分:
(1)y’=2x+2xlog2+
(2)y’=
=(3)y’=[ ]’
=- ·(3x-5)’
=-(4)y’= -(ex+xex)
= -ex-xex
(5)∵y’=aeaxsinbx+beaxcosbx
=eax(asmbx+bcosbx)
∴dy=eax(asmbx+bcosbx)dx
(6) ∵y’=- +
∴dy=(- + )dx
(7)∵y’=- sin +
∴dy=( - sin )dx
(∵y’=nsinn-1x+ncosnx
∴dy=n(nsinn-1+ cosnx)dx
(9)∵y’=
= ∴ (10)4、(1)方程两边对x求导得 2x+2yy’-y-xy’+3=0 (2y-x)y’=y-2x-3 y’= ∴dy=(2)方程两边对x求导得:Cos(x+y)·(1+y’)+exy(y+xy’)=4[cos(x+y)+xexy]y’=4-cos(x+y)-yexy y’=5.(1)∵y’= = (2) = 经济数学基础作业2一、填空题:1、2xln