A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity.

Find the equation of motion x(t)

if the mass is driven by an external force equal to f(t) = 25 cos 3t.(Use g = 32 ft/s2 for the acceleration due to gravity.)

This graph shows which inequality? a ≤ –3 a > –3 a ≥ –3 a < –3

Use long division to indentify (12xto the second power+15x-8)divided by 3x

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.