For 0<x<(π/(6 )), all the values of
tan^2 (3x)cos^2 (x)−4tan (3x)sin (2x)+16sin^2 (x)
lie in the interval
(a). (0,((121)/(36))) (b).(1,((121)/9)) (c). (−1,0) (d). None of these.
can I write the solution of
ay′′+by′+cy=0
y= { ((c_1 e^(((−b+(√(b^2 −4ac)))/2)x) +c_2 e^(((−b−(√(b^2 −4ac)))/2)x) ,when b^2 −4ac≠0)),((c_1 e^(((−b)/2)x) +c_2 xe^(((−b)/2)x) ,when b^2 −4ac=0)) :}
in one sentence
not in the form of piecewide-define function