Find the value of `a` for which the function `(a+2)x^3-3a x^2+9a x-1` decreases montonically for all real `xdot`

Find the value of a for which the equation a sin(x+pi/4)=sin2x+9 will have real solution.

For what values of a , the function f(x)=((sqrt(a+4))/(1-a) -1)x^5-3x+"log"(5) decreases for all real xdot

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

Find the inverse of the function: f(x)={x^3-1, ,x<2 x^2+3,xgeq2

The number of nonzero integral values of a for which the function f(x)=x^4+a x^3+(3x^2)/2+1 is concave upward along the entire real line is___________

Find all real value of a for which the equation x^4 + (a - 1)x^3+ x^2 + (a - 1)x + 1 = 0 possesses at least two distinct positive roots

Find the set of real value(s) of a for which the equation |2x+3|+|2x-3|=a x+6 has more than two solutions.

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

Find all value of x for which (x^(3)(x-1))/((x-2))gt 0

Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not continuous at any xdot