IIT Free MATH Topics

Hint- solve quadratic equation by sreedharacharya method and put in S use the formula
cos x=(e^ix+e^-ix)/2

Ans-0.76
Hint-0.6x0.8+0.4x0.7

FACT- Area under the curve x^3 is smaller than the area under the curve x^2 for (0,1)

Continuous functions is always differentiable (True/False)

Q- minimum integer value of n for which e^(x)=x^n has no solution???

x^n>x^(n-1) when x€[1,infinite]
x^n

Ans-(a) and (d)

Find domain of y=√1-e^[x]??
Ans-domain of y is all real values of x for which y becomes real
1-e^[x] greater than or equal zero
e^[x]< or equal to 1

The graph of y=-|x| is just opposite of graph of y=|x| both is not differentiable at x=0