On which of the following intervals is the function `x^(100)+sinx-1` decreasing? (a) `(0,pi/2)` (b) `(0,1)` (c) `(pi/2,pi)` (d) none of these

On which of the following intervals is the function x^(100)+sin x-1 decreasing? (a) (0,(pi)/(2))(b)(0,1)(c)((pi)/(2),pi)( d) none of these

On which of the following intervals, the function x^(100)+sinx-1 is strictly increasing. (-1,1) (b) (0,1) (pi/2,pi) (d) (0,pi/2)

On which of the following intervals is the function f given by f(x)=x^(100)+sinx-1 strictly decreasing ? (A) (0, 1) (B) (pi/2,pi) (C) (0,pi/2) (D) None of these

On the interval (0,(pi)/2) the function log sinx is

The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (0,1/e) (d) none of these

The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (0,1/e) (d) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)}} contains which of the following interval(s)? (a) (3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a) [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a) [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these