I. TRUE or FALSE. Write TRUE if the statement is always true, otherwise write FALSE. [20pts] 1. The graphs of functions of two variables z = f(x, y) are surfaces in 3-dimensional space. Evaluate 2. The domain of the function f(x, y) = exy is the set R3. 3. The range of the function g(x, y) = \\4 - x2 - 4y? is 0 S f(x,y) $ 2. 4. The domain of f(x, y) = In(xy - 6) is {(x, y) e R? |xy 2 6). 5. The domain of f(x, y) = WHY is ((x, y) e R? |xy 2 0). 6. Suppose M, a, b E R. Then lim (x.y)-(a,b) If (x, y)]= = M's always holds. 7. The lim x2 - 2xy + 3y2 - 4x + 3y - 6 is 6. (x.y)-(2,-1) 8. A function f(x, y) is continuous at the point (a, b) in the domain if the following statement holds: lim f(x, y) = f(a, b). (x.y)-(a,b) 9. If g and h are continuous functions of x and y and f(x,y) = g(x) + h(y), then f is continuous. 10. The function f(x, y) = x-3yz x2+yz is continuous everywhere