21 question 5. (15 pts) solve the (ivp) system. x'(t) = [ _ 41x(t) , 5 4 ()1

For what values of b will f(x)= logbx be a decreasing function? (16 )

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de