Q5(b) ( f) (g) exercise-1. 3

Q5 exercise- 2.1

Q4 exercise- 2.1

Q6, exercise- 2.1

Q7, exercise- 2.1

Q1 exercise- 2.1 part - 1

Q1 exercise- 2.1 part - 1

Q1 exercise- 2.1 part - 2

Let f (x) be a continuous function (define for all x) which satisfies f ^(3) (x)-5 f ^(2) (x)+ 10f (x) -12 ge 0, f ^(2) (x) + 3 ge 0 and f ^(2) (x) -5f(x)+ 6 le 0 If distinct positive number b_(1), b _(2) and b _(3) ar in G.P. then f (1)+ ln b _1), f (2) + ln b _(2), f (3)+ ln b _(3) are in :

Let f be the exponential function and g be the logarithmic function, Find: (i) (f+g)(1) (ii) (fg)(1) (iii) (3f)(1) (iv) (5g)(1)

If f (x)=((x-1) (x-2))/((x-3)(x-4)), then number of local extremas for g (x) , where g (x) =f (|x|): (a) 3 (b) 4 (c) 5 (d) none of these