6. Find the absolute maximum and the absolute minimum values of the function f(x, y) = x 2 + y 2 − 2x − 2y on the closed triangular region with vertices at (0, 0),(2, 0),(0, 2).

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.