Please solve 31 MATHEMATICS
Let ; be with modulus Then
32. Let be R R. with f and Of the NOT
33. a A
34, The
35. Let be d by the
vector With
+ 35
Nith integer and de•erminant Then for
2} • • Which of the
a which
36. For a given matrix, let R, den6te sum uf all ia its .0 denote the sum of all it.'
column. How many 3 X 3 with integer such that R, • C'
37. he each number n. Pv
is a true true. Then Which Of the fou.&iag is
istrue for all
P(n) is false for infinitely values of ia.
P(n) is for at mast finitely many of n.
P(n) is true for exactly two values of n.
3S. Let f(x) be the equation of the curve the pSiut (I, having slope
Of J. Then the curv.y
through the point — loge a).
not pass through the point (2, — log. 4).
through the point (2,3 + log, 4).
through pon.t {2, loge 4).
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