Cot²θ+1 = -2 cotθ
Solve the equation for 0≤θ< 2π

34 cup. a serving of vegetable soup is 23 cup. the restaurant sold 20 servings of chicken noodle soup and 18 servings of vegetable soup. how many more cups of chicken noodle soup did they sell than cups of vegetable soup?

Find the maximum value of p= 4x + 5y subject to the following constraints :

At a book fair, joe bought 24 books at 3 for $5 and had $2 left. how much money did he have at first?