Chapter 3.3, Problem 55E

find the domain of the given function. x²-2y f ( x, y ) = .A 1 D= { (x,y) ER?: y s x } .B D = {(x.y) ER?: y < 2x²} .C 1 D = {(x.,y) ER?: y 2 *} .D D= { (x,y) ER?: y s

Find the intercepts y = 3x+1 O (0, 1) ( 3, 0) O (0, -1/3) ( 1, 0) O (0, 3) (-3, 0) O (-1/3, 0)( 0, 1) MacBook Air

Q19. Please show all work

Evaluate the function at the given values of the independent variables. Simplify the results. f(x, y) = 6x + y2 (a) (b) f(x + Ax, y) = f(x, y) - L Ax #0 f(x, y + Ay) - f(x, y) Ay

Find fxx, fxy and fyy for the function (1+x+y)e-xy f(x, y) Select one: a. = None of these b. fxx = (−2y + y² + x²y+y³ ) e¯xy, fxy = (−1 − 3x − 3y + xy + x²y + xy²)e-xy, (−2x + x² + xy² + x³ ) e¯xy¸ fyy d. fxx fyy = c. fxx = (−2y + y² + xy² +y³)e¯xy, fxy=(−1 − 2x − 2y + xy + x²y + xy²)e¯xy, fyy = (−2x + x² + x²y + x³ ) e¯xy = = (−2y + y² + x²y + y³ ) e¯xy, (−2x + x² + xy² + x³) e-xy, e. fxx = (-2y + y² fay=(-1-2x - 2y + xy + x²y + xy² ) e¯xy, 9 + xy² + y³ )e¯xy, fxy=(-1-3x − 3y + xy + x²y + xy²)e¯xy, fyy = (-2x + x² + x²y + x³) e¯xy¸ O O O

Form the input/output table for f(x) = 2× with the values of x and y from Step 1. Write the ordered pairs from the table. -4 -3 -2 -1 1 3 4 y 0.0625 | 0.125 0.25 0.5 1 2 4 8 16 The ordered pairs are as follows. (x, y) = (-4, (х, у) (x, y) = (-2, 0.25) (х, У) - (-1, (х, у) (-3, 0.125) %D (0, 1) (х, у) (1, 2) (х, у) 2, (х, у) (3, 8) %3D (х, У) %3D (4,