A function f is called homogeneous of degree n if it satisfies the equation f(tx, ty) = tnf(x, y) for all t, where n is a positive integer and f has continuous second-order partial derivatives. If f is homogeneous of degree n, show that fx(tx, ty) = tn − 1fx(x, y).

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the the jar has 24 marbles. how could mrs. morton reward the class in order for the students to have a party?

Angela is buying a dress that is on sale for 20% off. if the original price of the dress is $40.00, how much money is angela saving on the dress? a. $0.80 b. $3.20 c. $32.00 d. $8.00