" 7.Number of values of "p" for whichsin "^(3)x+1+p^(3)-3psinx=0,(p>0)" has a root is "

Number of values of p for which equation sin^(3)x+1+p^(3)-3p sin x=0(p>) has a root is

Number of values of p for which equation sin^3x+1+p^3-3psinx=0(p >0) has a root is ________

Number of values of p for which equation sin^3x+1+p^3-3 p sinx=0 (p >0) has a root is ________

Number of values of p for which equation sin^3x+1+p^3-3 p sinx=0 (p >0) has a root is ________

Number of values of p for which equation sin^3x+1+p^3-3p sinx=0(p >0) has a root is ________

Number of values of p for which equation sin^3x+1+p^3-3psinx=0(p >) has a root is ________

Number of values of p for which equation sin ^(3) x + 1 + p^(3) - 3 p sin x = 0 (p gt 0) has a root is

Without solving, find the values of 'p' for which the equation x^2 + (p -3)x +p = 0 has real and equal roots.

The set of values of p for which roots of the equation 3x ^(2) + 2x +p (p-1) =0 are of opposite sign is