Given that x(t) = c1 cos wt + c2 sin wt is the general solution of x11 + w2x = 0 on. (-infinity, infinity), show that a solution satisfying the initial conditions x(0) = x0, x1(0) = x1 is given by x(t) = x0coswt + x1 / w sinwt.

When a rectangle is dilated, how do the perimeter and area of the rectangle change?

Adj has a total of 1075 dance and rock songs on her system. the dance selection is 4 times the size of the rock selection. write a system of equations to represent the situation.

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?