1For ques 1)Nishant bhayiya , should the graph be like this????
My ans is coming (a)
1) The no. of points at which the function f(x) = max {a-x , a+x, b},
- ∞ < x < ∞ , 0 <a < b cannot be differentiable is:
(a)2 (b) 3 (c)1 (d) 0
2) If f(x) = sin (2∩ [ ∩2 - x] )5 +[x] 2 ; where [.] denotes the greatest inegral function then f(x) is
(a) discontinous at some x
(b) continous at all x , but the deriviative f ' (x) does not exists for some x
(c) f ' (x) exists for all x , but f '' (x) does not exists
(d) f '' (x) exists for all x
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7 Answers
62For question 1, I always suggest use of graphss...
ddraw the graph of f(x) you will have three different straightlines...
a-x, a+x and b
Draw the line which is the maximum.. That will give the graph of f(x)
Try it after this hint..
62Question 2
Answer this : Is the part inside sin an integer multiple of 2pi???
what is teh sin of an integer multiple of pi??
So what is the value of f(x) ??
1For ques 2) yes the part inside sin is an integral multiple of 2 pi
f(x) should be zero
1
1yeah the answer is definitely 2,,,coz in the graph u see there r two sharp points,,,one is (a-b,b) and other is (b-a,b),,,hope i helped u
62yes sabitha.. you are correct..
only one thing.. your graph suggests that a=b/2
In principle what you have done is correct for both :)