1.

a. Find the linear approximation to the function fat the point (a,b). b. Use part (a) to estimate the given function value. f(x,y) = (x + new; (a,b) = (1.0); estimate f(0.99,0.07). {I} a. L(x.y) = D b. L(0.99,0.07) = E (Type an integer or decimal rounded to the nearest tenth as needed.) Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertices (0,0), (0,4), and (2,4) in the first quadrant. f ( x,y) = 2x2- 8x + y2 - 8y+2 . . . Determine the absolute maximum value of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. On the given region, the function's absolute maximum is O B. On the given region, the function has no absolute maximum value. The function assumes this value at (Type an ordered pair. Use a comma to separate answers as needed.) Determine the absolute maximum value of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. On the given region, the function's absolute minimum is O B. On the given region, the function has no absolute minimum value. The function assumes this value at]. (Type an ordered pair. Use a comma to separate answers as needed.)