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Using Lagrange multipliers to find minimum values

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MA312 - CALCULUS-2 (GRANTHAM UNIVERSITY) WEEK-5 - Would like to get the detailed answers to all questions.

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Solution Summary

We solve various problems in multivariable calculus.

See Also This Related BrainMass Solution

Minimum Value, Maximum Value, and Saddle Points

1) Find the local maximum and minimum values and saddle point(s). Here is the function:

f(x,y) = x^3y + 12x^2 -8y

2) Use Lagrange multiplier to find the extreme values (i.e. the max and min) of:

f(x,y) = 4x+6y

subjected to the constraint

x^2 + y^2 = 13

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