Problems:
1.Emile and Gertrude are brother and sister. Emile has twice as many sisters as brothers, and Gertrude has just as many brothers as sisters. How many children are there in this family?
2. Find all polynomials f(t)of degree ≤ 2 whose graph runs through the points (1,1) and (2,0), such that
∫21 ƒ(t) dt = -1
3. A hermit eats only two kinds of food: brown rice and yogurt. The rice contains 3 grams of protein and 30 grams of carbohydrates per serving, while the yogurt contains 12 grams of protein and 20 grams of carbohydrates.
a. If the hermit wants to take in 60 grams of protein and 300 grams of carbohydrates per day, how many servings of each item should he consume?
b. If the hermit wants to take in P grams of protein and C grams of carbohydrates per day, how many servings of each item should he consume?