Your last submission is used for your score. 3. 0/2 points Previous Answers SEss

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Your last submission is used for your score. 3. 0/2 points Previous Answers SEssCalcET2 11.8.003. My Notes Ask Your Teacher Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.) maximum DNE x minimum DNE Need Help? Read Talk to a Tutor Practice Another Version Submit Answer Save Progress View Previous Question Question 3 of 10 View Next Question Home My Assignments Extension Request 4.00 1997-2017 Advanced Instructional Systems, Inc.All ights reserved

Explanation / Answer

From the given question,

f(x,y) = y2-x2 ; 1/4 x2+ y2=36

x2 + 4y2=144

x2=144-y2

replacing in equation

y2-(144-y2)

f(x,y)=2y2-144

for maxima or minima, f '(x,y)=0

4y=0

y=0

replacing in x2=144-y2

x=12.

similarly if x=0, y=6

repalcing (0,6) and (12,0) in f(x,y) equation,

f(x,y)=y2-x2=62-02=36(maximum value)

f(x,y)=02-122=-144(minimum value)

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