A) let f(z) be an entire function for which |f(z)/zk| is bounded in the exterior of a sufficiently large circle, |z| > r. show that f(z) is a polynomial of degree < k (b) if |f(z)| < a |z|k for all z (not just large z), show that either f is identically zero or that f(z) = czk with c non zero.

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.