Which of the following functions is not continuous `AAx in R ?` (a) `sqrt(2sinx+3)` (b) `(e^x+1)/(e^x+3)` (c) `((2^(3x)+1)/(2^(3x)+5))^(5/7)` (d) `sqrt(sgnx+1)`

Integrate the following functions sqrt(1+2x-3x^(2))

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

Which of the following expression are polynomial .if not give reason : (i) (1)/( x^(2)) +3x -4 (ii) x^(2) (x-1) (iii) (1)/(x) (x+5) (iv) (1)/(x^(-2) ) +(1)/( x^(-1)) +7 (v) sqrt (5) x ^(2) + sqrt 3x +sqrt2 (vi ) m^(2) -3sqrt (m) +7m-10

Integrate the following functions w.r.to 'x' . (i) (x+5)^6 (ii) 1/(2-3x)^4 (iii) sqrt(3x+2)

Which of the following function is (are) even, odd, or neither? f(x)=x^2sinx f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) f(x)=log((1-x)/(1+x)) f(x)=log(x+sqrt(1+x^2)) f(x)=sinx-cosx f(x)=(e^x+e^(-x))/2

Differentiate w.r.t.x, the following functions : sqrt(3x+2)+(1)/(sqrt(2x^(2)+4)) .

Which of the following is not the solution of (log)_3(x^2-2)<(log)_3(3/2|x|-1) is (a) (sqrt(2),2) (b) (-2,-sqrt(2)) (c) (-sqrt(2),2 (d) none of these

Let f(x) be a twice differentiable function for all real values of x and satisfies f(1)=1,f(2)=4,f(3)=9. Then which of the following is definitely true? (a). f''(x)=2AAx in (1,3) (b) f''(x)= 5 for some x in (2,3) (c) f''(x)=3AAx in (2,3) (d) f''(x)=2 for some x in (1,3)

Integrate the following with respect to x. (i) (e^(2x) - 1)/(e^x) " " (ii) e^(3x)(e^(2x - 1)) .

Differentiate w.r.t.x, the following functions : e^(sec^(2)x)+3 cos^(-1)x .