Solve the following problems with the second parti a) Find the points on the surface x²y²z = 1 cl b). Find three positive numbers which sum is 10 Find three positive numbers which sum is 10

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. Solve the following problems with the second partial derivative test and with Lagrange's method.
a)
. Find the points on the surface x²y²z = 1 closest to the origin.
b)
. Find three positive numbers which sum is 100 and which product is maximum.
c) . Find three positive numbers which sum is 100 and the product xªy¹zº is maximum.
Transcribed Image Text:1. Solve the following problems with the second partial derivative test and with Lagrange's method. a) . Find the points on the surface x²y²z = 1 closest to the origin. b) . Find three positive numbers which sum is 100 and which product is maximum. c) . Find three positive numbers which sum is 100 and the product xªy¹zº is maximum.
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