If `d/(dx)[(x^m-A_1x^(m-1)+A_2x^(m-2)-.......+(-1)^m A_m)e^x]=x^m e^x ,` find the value of `A_r `

(d)/(dx)(e^(x+5log x)) is .............. .

Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a_1x+a_2x^2+ and that a1 2=2a_2 then the value of n is.

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

(d)/(dx) (e^(x + 5 log x)) is …........... .

If sin^(-1)x_1+sin^(-1)x_2++sin^(-1)x_nlt=-(npi)/2,n in N ,n=2m+1, mgeq1, then find the value of (x_1^1+x_3^3+x_5^5+...(m+1)t e r m s)/(x_2^2+x_4^ 4+x_6^ 6+.... mt e r m s)

If m is a non-zero number and int (x^(5m-1)+2x^(4m-1))/(x^(2m)+x^m+1)^3 dx=f(x)+c , then f(x) is:

The AM of the nnumbers x_(1),x_(2)......x_(n) is M. If x_(1) is replaced by x then the new AM is

The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are concurrent for three values of m concurrent for no value of m parallel for one value of m parallel for two value of m

The value of lim_(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (d) none of these