Determine for which values of m the function φ (x) = x^m is a solution to the given equation. (a) 3x^2 d^2y/dx^2 + 11x dy/dx - 3y = 0 (b) x^2 d^2y/dx^2 - x dy/dx - 5y = 0

Asalesperson earns $320 per week plus 8% of her weekly sales. the expression representing her earnings is 320 + 0.08x. which of the following describes the sales necessary for the salesperson to earn at least $1000 in the one week?

How do i do this activity, is appreciated

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.