Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. 9y'' − y = xex/3

The diameter of a circular chip is doubled to use in a new board game. the area of the new chip will be

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

Ihave a triangle with a 60 degree angle. lets use d for that angle. what are the values of e and f if d is 60 degrees? and what do you notice about the values of e and f?