Find the general solution. a. y^ prime +sec x y=cos x . b. y^ prime +y= 1 2 (e^ x -e^ -x ) . c. y^ prime + y x = 1 x^ 4 y^ -3/4 d. y^ prime = y x+y

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.

Use the second shift theorem to find the inverse laplace transform of (e^−3s) / (s^2 + 2s − 3)

What is the measure of ba (the minor arc) in the diagram below?