" 10."(1)/(x-sqrt(x))

f(x)=(1)/(x)+log_(1-{x})(x^(2)-3x-10)+(1)/(sqrt(2-|x|))+(1)/(sec(sin x)) find the domain of the function.

Find the domain of definitions of the functions (Read the symbols [*] and {*} as greatestintegers and fractional part functions respectively.) f(x) = (1)/([x]) + log_(2 {x}-5) (x^(2) - 3x + 10) + (1)/(sqrt(1 - |x|))

The value of x, for which the ninth term in the expansion of {sqrt(10)/((sqrt(x))^(5log _(10)x ))+ x.x^(1/(2log_(10)x))}^(10) is 450 is equal to

The value of x, for which the ninth term in the expansion of {sqrt(10)/((sqrt(x))^(5log _(10)x ))+ x.x^(1/(2log_(10)x))}^(10) is 450 is equal to

The value of x, for which the ninth term in the expansion of {sqrt(10)/((sqrt(x))^(5log _(10)x ))+ x.x^(1/(2log_(10)x))}^(10) is 450 is equal to

If x_(1),x_(2)&x_(3) are the three real solutions of the equation x^(log_(10)^(2)x+log_(10)x^(3)+3)=(2)/(((1)/(sqrt(x+1-1))-(1)/(sqrt(x+1+1)))) where x_(1)>x_(2)>x_(3), then

Integrate the following with respect to x. (i) x^10 " " (ii) 1/(x^10) " " (iii) sqrt(x) " " (iv) 1/(sqrtx)

f(x)=sqrt((x-2)sqrt(x-1))/(sqrt(x-1)-1). x then f'(10) & f'(3/2)=

10. If x=2+sqrt(3) then the value of sqrt(x)+(1)/(sqrt(x))