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Session 43: Clearer Notation | Multivariable Calculus | Mathematics | MIT OpenCourseWare

Session 43: Clearer Notation | Multivariable Calculus | Mathematics | MIT OpenCourseWare

2022年4月1日

Discuss the advantages and disadvantages of the method of Lagrange multipliers compared with solving the equation g(x, y)=0 for y (or x ), substituting that expression into f and then minimizing or maximizing f as a function of one variable. You might want to try some examples both ways and consider what happens when there are more than two variables. | Numerade

Discuss the advantages and disadvantages of the method of Lagrange multipliers compared with solving the equation g(x, y)=0 for y (or x ), substituting that expression into f and then minimizing or maximizing f as a function of one variable. You might want to try some examples both ways and consider what happens when there are more than two variables. | Numerade

2019年5月15日

SOLVED:Discuss the advantages and disadvantages of the method of Lagrange multipliers compared with solving the equation g(x, y)=0 for y (or x ), substituting that expression into f and then minimizing or maximizing f as a function of one variable. You might want to try some examples both ways and consider what happens when there are more than two variables.

SOLVED:Discuss the advantages and disadvantages of the method of Lagrange multipliers compared with solving the equation g(x, y)=0 for y (or x ), substituting that expression into f and then minimizing or maximizing f as a function of one variable. You might want to try some examples both ways and consider what happens when there are more than two variables.

2020年5月12日

Use Lagrange multipliers to find the minimum and maximum values... | Filo

Use Lagrange multipliers to find the minimum and maximum values... | Filo

Golf Balls and Lagrange Multipliers The golf ball manufacturer, Pro-T, has developed a profit model that depends on the number x of golf balls sold per month (measured in thousands), and the number of hours per month of advertising y, according to the function z=f(x, y)=48 x+96 y-x^2-2 x y-9 y^2 where z is measured in thousands of dollars. The budgetary constraint function relating the cost of the production of thousands golf balls and advertising units is given by 20 x+4 y=216. Find the values

Golf Balls and Lagrange Multipliers The golf ball manufacturer, Pro-T, has developed a profit model that depends on the number x of golf balls sold per month (measured in thousands), and the number of hours per month of advertising y, according to the function z=f(x, y)=48 x+96 y-x^2-2 x y-9 y^2 where z is measured in thousands of dollars. The budgetary constraint function relating the cost of the production of thousands golf balls and advertising units is given by 20 x+4 y=216. Find the values

Examples of Lagrange Multipliers

Examples of Lagrange Multipliers

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