The temperature in degrees centigrade (◦C) at each point (x, y) on a curve 2x + y = 3 is given by T(x, y) = 2x2 + 2x + 5y. Find the lowest temperature on the curve using: (a) Second Derivative Test (b) Lagrange Multipliers

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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The temperature in degrees centigrade (◦C) at each point (x, y) on a curve 2x + y = 3 is given by

T(x, y) = 2x2 + 2x + 5y.
Find the lowest temperature on the curve using:
(a) Second Derivative Test
(b) Lagrange Multipliers

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