Equation f(x, y, z) = x^2y − 2xy^2 + ze^(z−1) = 0 defines a implicit function z = g(x, y). find the taylor expansion of g to the second order at (1, 1).

The circumference of a circle is 60 pi cm3what is the radius of the circle

Fred has a total of 62 dvd and cd. if the number of cd is three more than two times the number of dvd, how many cd does he have?

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. there are 15 questions on the test, and students are given 51 minutes to take it.how many multiple-choice questions are on the test?