11.Sol:
12.Sol:
the smallest possible integer value of c is 2.
11.Sol: Rewrite the given equation
cos 1 sin^7 ^4
Since sin ( )^4 x positive in the given interval ,
so RHS is greater than one, that is
cos ( )^7 1. Using definition, we have
cos ( ) 1^7 . So the possible values of
cos 1 and sin 0. Therefore two
intersecting points , those are when 0 and
2.
12.Sol: We can see from the given equation,
RHS- can factored. Thus
2 (3 2 3 2 ) 4 83m m n w n m
implies that m 2 and
3 2 3 2 83^2 n w n^2
That is
2 3 2 74n w n^2
2 (4 3 1) 2 37n^2 w
implies that n- 2 = 1 i.e., n = 3 and
4 3 1 37 w
that is(^) 3 9w
implies that w = 2. Therefore the value of the
expression m mn n^2 ^2 is
(^) 2 2 3 3 4 6 9 19^2 ^2