a)
Here’s the manual solution. 1. Homogeneous part Solve $Y_{t+2}+12Y_{t+1}+30Y_t=0$. Characteristic: $r^2+12r+30=0\Rightarrow r=-6\pm\sqrt{6}$. So ____ _________ ______ _________ _______ _________.
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If x,y,z be respectively the pth, qth and rth term of G.P., then evaluate
(q-r) logx + (r-p) logy + (p-q) logz
y=sin3 x cos3 x
State whether the following statement are True or False and also give the reason in support of your answer.
a) Collection of intelligent students of IGNOU forms a set.
b) Following rule is a function from A to B
c)
d) The negation of the following statement p is-p.
p: Longest chord of a circle is diameter -p: Diameter is the shortest chord of circle
e) Any term of an AP(except the first and last) is equal to half the sum of terms which are equidistant from it on both sides
a)
If the universal set is U = {1,2,3,4,5,6,7,9,10) and A= {2,3,6,7}, B= {4,6,8,9}, C= {6,7,8} are the subsets of U, then verify
a) De-Morgan's Laws
b) Left distributive law