question below:

Find the points on the sphere x2 + y2 + 22 = 109 where f(x,y,z) = 3x + 6y+ 82 has its maximum and minimum values. E) The maximum value of f(x,y,z) is El. which occurs at the point (D4141) . The minimum value of f(x,y.z) is D, which occurs at the point (D4141) . Use Taylor's formula to find the quadratic approximation to f(x,y) = sin (5x + y) near the origin. 5 O A. 5x+y+ 2 X' + XV + 2 N 2 O B. 5x+ y 5 O C. 5x+y+ 2 X + 2 2 5 O D. 5x+y+ 2 2 XUse Taylor's formula to find the cubic approximation to f(x,y) = - near the origin. (1 + x + 8y) O A. 1-2x - 16y + 3x2 + 64xy + 192y2 - 4x3 -96x2y - 768xy2 - 2048y3 O B. 1 +2x + 16y - 3x2 - 64xy - 192y2 + 4x3 + 96x y +768xy+ 2048y3 O C. 1-2x - 16y + 3x2 + 48xy + 192y"-4x3 -96xy -768xy- 2048y3 O D. 1 + 2x + 16y - 3x2 - 48xy - 192y2+ 4x3 + 96x2y + 768xy+ 2048y3