Calculus 1 Topics Covered: - Partial Derivatives - Maxima and Minima of Functions of Two Variables

Instructions: Answer the following problems by showing the complete solution. In return, I will give you a good and high rating. Thank you so much! Special Note to Tutor: Please be careful with the units and measurements in calculations. Thank you!

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Locate all absolute maxima and minima, if any, by inspection. Then check your answers using calculus. f (x, y) = (x- 9) + (1+ 3)2 f has a(n) v at (Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check your answers using calculus. f (x, y) = 52 - 12x + x-+ 8y+ y f has a(n) v at ( iLocate all relative maxima, relative minima, and saddle points, if any. f (x, y) = 6y + xy + 3y+3x+4 v at the point (Find three positive numbers whose sum is 60 and such that their product is as large as possible. Enter your answers in increasing order. First Number: i Second Number: i Third Number: iAn international airline has a regulation that each passenger can carry a suitcase having the sum of its width, length and height less than or equal to 138 cm. Find the dimensions of the suitcase of maximum volume that a passenger may carry under this regulation. Enter your answers in increasing order. Length = i cm Width = i cm Height = i cm