x^(2)-3x-10" djakros antin Afe "1

Find the cofficient of x^(10) in the expansion of (1-2x+3x^(2))(1-x)^(15) .

If the mean and standard deviation of 10 observations x_(1),x_(2),......,x_(10) are 2 and 3 respectively,then the mean of (x_(1)+1)^(2),(x_(2)+1)^(2),....,(x_(10)+1)^(2) is equal to

If af(x)+bf((1)/(x))=x-1,x!=0 and a!=b, then f(2) is equal to ?

Let f(x)=1+2cos x+3sin x. If real numbers a,b,c are such that af(x)+bf(c+x)=1 holds for any x in R then (b cos c)/(a)=

If x_1and \ x_2 are the solution of the equation x^(3log_10^3x-2/3log_(10)x)=100 root(3)10 then- a. x1x2=1 b. x1*x2=x1+x2 c. log_(x2)x1=-1 d. log(x_1*x_2)=0

If x_1and \ x_2 are the solution of the equation x^(3log_10^3x-2/3log_(10)x)=100 root(3)10 then- a. x1x2=1 b. x1*x2=x1+x2 c. log_(x2)x1=-1 d. log(x_1*x_2)=0

int_0^(2a)f(x)dx is equal to 2int_0^af(x)dx b. 0 c. int_0^af(x)dx+int_0^af(2a-x)dx d. int_0^af(x)dx+int_0^(2a)f(2a-x)dx

if for nonzero x,af(x)+bf((1)/(x))=(1)/(x)-5 where a!=b then f(2)=

if for nonzero x , af(x) + bf(1/x) =1/x-5 , where a!=b then f(2) =