Use Lagrange Multipliers to Find the Minimum Value of the Function

Q12: Find three positive numbers whose sum is

Q13: Find the differential of the function <img

Q14: Let <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5971/.jpg" alt="Let Find

Q15: Find the differential of the function <img

Q16: At what point is the following function

Q18: Find the absolute minimum value of the

Q19: The length l, width w and height

Q20: Let <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5971/.jpg" alt="Let Find

Q21: Find the gradient of the function <img

Q22: Find the limit <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5971/.jpg" alt="Find the