question below:

Find and sketch the domain for the function. f(x,y) = (x2 -9) (y2 -16) Find the domain of the function. Express the domain so that coefficients have no common factors other than 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is all points (x,y) satisfying (x - 3),(y - 4) 20. O B. The domain is all points (x,y) satisfying > 0. O C. The domain is all points (x,y) satisfying # 0. O D. The domain is the entire xy-plane. Choose the correct sketch below. The domain is shaded in yellow. O A. OB. O C. OD. Ay 10- 10- X 10 to 10Given the function f(x,y) = In (3x2 + y2), answer the following questions. a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. 9. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain of the function f(x,y) = In (3x2 + y2). O A. All points in the xy-plane O B. All values of x and y except when f(x,y) = y - 3x generate real numbers. 0 C. All points in the rst quadrant O D. All points in the xy-plane except the origin b. Choose the correct range of the function f(x,y) = In (3x2 + yz) . O A. All non-negative real numbers 0 B. All real numbers 0 C. All integers O D. All non-negative integers c. Choose the correct description of the level curves of f(x,y) = In (3x2 + yz) . O A. Ellipses O B. The x- and yaxes, when f(x,y) = 0 O C. Straight Lines 0 D. Circles d. Does the function's domain have a boundary? Select the correct choice and if necessary, fill in the answer box below to complete your choice. O A. Yes, at (Type an ordered pair. Use a comma to separate answers as needed.) O B. Yes, at =0 (Type an expression using x and y as the variables.) O C. No e. Choose the correct description of the domain of f(x,y) = In (3x2 + y2). O A. Open Region O B. Closed Region O C. Neither open nor closed O D. Both open and closed f. Is the domain of f(x,y) = In (3x2+ y2) bounded or unbounded? O Bounded O UnboundedGiven the following function f(x,y) and a positive number 6, nd the largest possible value of 5 > 0 such that for all (x,y), 4x2 + y2