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Question 1 (2 points) () Listen Find the partial derivative. Let z = f(x,y) = 6x2 - 10xy + 2y3. Find -10x + 6y2 O
Question 1 (2 points) () Listen Find the partial derivative. Let z = f(x,y) = 6x2 - 10xy + 2y3. Find -10x + 6y2 O 12x - 10y O 12x + 10y2 -10x - byQuestion 2 (2 points) Listen Find the value. Find f(-5, 3) when f(x, y) = 9x + 3y - 9 O-48 O- 36 O-45 O -540:00:23 ela Question 3 (2 points) Listen Provide an appropriate response. Find critical points for f(x, y) = 5x2 - 5y2 + 2xy + 34x + 38y + 12. O ( 4, 3) O ( - 4, 3) O (4 , - 3) O (- 4, - 3)Question 4 (2 points) E I1!) Listen b ' Provide an appropriate response. Use Lagrange multipliers to maximize fix 3%} =5x_v subject to x+_\\'=-6. If ":3: max f(x, y) = f(3, 3) = 45 max f(x, y) = f(-3, -3) = 45 max f(x, y) = f(-3, 3) = -45 If: ":3. max f(x, y) = f(3, 3) = 45 4:) Listen b Solve the problem. The number of cows that can graze on a ranch is approximated by C(x,y) = 9x + 5y 3, where x is the number of acres of grass and y the number of acres of alfalfa. If the ranch has 40 acres of alfalfa and 80 acres of grass, how many cows may graze? .;;:' 757 cows 760 cows If :3] 917 cows .;;:' 920 cows
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